{"id":65374,"date":"2026-09-15T00:07:01","date_gmt":"2026-09-15T04:07:01","guid":{"rendered":"https:\/\/www.wukongsch.com\/blog\/?p=65374"},"modified":"2026-09-15T01:17:33","modified_gmt":"2026-09-15T05:17:33","slug":"volume-of-a-prism","status":"publish","type":"post","link":"https:\/\/www.wukongsch.com\/blog\/volume-of-a-prism-post-65374\/","title":{"rendered":"Volume of a Prism: Formula, Examples, and Practice"},"content":{"rendered":"<div style=\"margin-top: 0px; margin-bottom: 0px;\" class=\"sharethis-inline-share-buttons\" ><\/div>\n<p>Finding the <strong>volume of a prism<\/strong> is an important geometry skill, but many students get confused about which measurements to use or how to identify the base. The key idea is simple: multiply the <strong>area of the base<\/strong> by the <strong>perpendicular height<\/strong> of the prism.<\/p>\n\n\n\n<p>The <strong>prism volume formula<\/strong> is:<\/p>\n\n\n\n<p><strong>V = A \u00d7 h<\/strong><\/p>\n\n\n\n<p>where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>V<\/strong> = volume of the prism<\/li>\n\n\n\n<li><strong>A<\/strong> = area of the base<\/li>\n\n\n\n<li><strong>h<\/strong> = perpendicular height of the prism<\/li>\n<\/ul>\n\n\n\n<p>In this guide, you will learn what the volume of a prism means, how the formula works, how to use it with different bases, how to solve for missing measurements, and how to avoid common mistakes.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"what-is-the-volume-of-a-prism\"><\/span>What Is the Volume of a Prism?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>The <strong>volume of a prism<\/strong> is the amount of three-dimensional space inside the prism.<\/p>\n\n\n\n<p>Every prism has two important parts:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Bases:<\/strong> the two matching and parallel shapes at the ends of the prism<\/li>\n\n\n\n<li><strong>Height:<\/strong> the perpendicular distance between the two bases<\/li>\n<\/ul>\n\n\n\n<p>The general formula is:<\/p>\n\n\n\n<p><strong>V = A \u00d7 h<\/strong><\/p>\n\n\n\n<p>The most important idea is that the height must represent the <strong>perpendicular distance between the two bases<\/strong>.<\/p>\n\n\n\n<p>For example, imagine a rectangular prism. Its base can be a rectangle, and the prism&#8217;s height is the perpendicular distance from one rectangular base to the other.<\/p>\n\n\n\n<p>The base does not always have to be the bottom face. Depending on how a prism is positioned, a different pair of congruent parallel faces may be considered the bases.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" width=\"1024\" height=\"683\" src=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/09\/Volume-of-a-Prism_1-1024x683.png\" alt=\"Rectangular prism showing the base and perpendicular height\" class=\"wp-image-65375\" style=\"width:474px;height:auto\" srcset=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/09\/Volume-of-a-Prism_1-1024x683.png 1024w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/09\/Volume-of-a-Prism_1-300x200.png 300w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/09\/Volume-of-a-Prism_1-768x512.png 768w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/09\/Volume-of-a-Prism_1-920x613.png 920w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/09\/Volume-of-a-Prism_1.png 1536w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/div>\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"why-does-the-formula-work\"><\/span>Why Does the Formula Work?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>The volume of a prism can be understood as:<\/p>\n\n\n\n<p><strong>Base area \u00d7 height<\/strong><\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>The same idea also applies to <a href=\"https:\/\/www.wukongsch.com\/blog\/volume-of-cylinder-post-65163\/\">cylinders<\/a>, where the circular base area is multiplied by the height to find the volume.<\/p>\n<\/blockquote>\n\n\n\n<p>Imagine a prism made from many thin layers. Each layer has the same shape and the same area as the base.<\/p>\n\n\n\n<p>If the base area is <strong>A<\/strong> and the prism has a perpendicular height of <strong>h<\/strong>, stacking these layers together gives:<\/p>\n\n\n\n<p><strong>V = A \u00d7 h<\/strong><\/p>\n\n\n\n<p>For example, suppose a prism has a base area of 18 cm\u00b2 and a height of 10 cm.<\/p>\n\n\n\n<p>Its volume is:<\/p>\n\n\n\n<p><strong>V = 18 \u00d7 10<\/strong><\/p>\n\n\n\n<p><strong>V = 180 cm\u00b3<\/strong><\/p>\n\n\n\n<p>So the prism contains <strong>180 cubic centimeters<\/strong> of space.<\/p>\n\n\n\n<p>Unlike a pyramid, there is no <code>1\/3<\/code> in the volume formula for a prism.<\/p>\n\n\n\n<p>A useful comparison is:<\/p>\n\n\n\n<p><strong>Prism:<\/strong> V = A \u00d7 h<\/p>\n\n\n\n<p><strong>Pyramid:<\/strong> V = (1\/3) \u00d7 A \u00d7 h<\/p>\n\n\n\n<p>When a prism and a pyramid have the same base area and perpendicular height, the pyramid has one-third the volume of the prism.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"volume-formulas-for-different-types-of-prisms\"><\/span>Volume Formulas for Different Types of Prisms<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>The general prism formula does not change when the shape of the base changes:<\/p>\n\n\n\n<p><strong>V = A \u00d7 h<\/strong><\/p>\n\n\n\n<p>What changes is how you calculate the base area <code>A<\/code>.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>Type of Prism<\/td><td>Base Shape<\/td><td>Base Area<\/td><td>Volume<\/td><\/tr><tr><td>Rectangular prism<\/td><td>Rectangle<\/td><td>A = l \u00d7 w<\/td><td>V = l \u00d7 w \u00d7 h<\/td><\/tr><tr><td>Square prism<\/td><td>Square<\/td><td>A = s\u00b2<\/td><td>V = s\u00b2 \u00d7 h<\/td><\/tr><tr><td>Triangular prism<\/td><td>Triangle<\/td><td>A = (1\/2) \u00d7 b \u00d7 H<\/td><td>V = (1\/2) \u00d7 b \u00d7 H \u00d7 h<\/td><\/tr><tr><td>Trapezoidal prism<\/td><td>Trapezoid<\/td><td>A = (1\/2) \u00d7 (a + b) \u00d7 H<\/td><td>V = (1\/2) \u00d7 (a + b) \u00d7 H \u00d7 h<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p><a href=\"https:\/\/www.wukongsch.com\/blog\/volume-of-a-cube-post-65261\/\">A cube is a special type of rectangular prism<\/a>, so its volume can also be found by multiplying its three equal side lengths.<\/p>\n<\/blockquote>\n\n\n\n<p>Notice that a triangular prism can involve <strong>two different heights<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The height used to find the <strong>triangular base area<\/strong><\/li>\n\n\n\n<li>The perpendicular height of the <strong>prism itself<\/strong><\/li>\n<\/ul>\n\n\n\n<p>Keep these measurements separate.<\/p>\n\n\n\n<p>For any prism, first identify the base, calculate its area, and then multiply by the perpendicular distance between the bases.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" width=\"1024\" height=\"512\" src=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/09\/Volume-of-a-Prism_2-1024x512.png\" alt=\"Four types of prisms with different base shapes\" class=\"wp-image-65376\" style=\"width:688px;height:auto\" srcset=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/09\/Volume-of-a-Prism_2-1024x512.png 1024w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/09\/Volume-of-a-Prism_2-300x150.png 300w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/09\/Volume-of-a-Prism_2-768x384.png 768w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/09\/Volume-of-a-Prism_2-1536x768.png 1536w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/09\/Volume-of-a-Prism_2-920x460.png 920w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/09\/Volume-of-a-Prism_2.png 1774w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/div>\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"how-to-calculate-the-volume-of-a-prism-step-by-step\"><\/span>How to Calculate the Volume of a Prism Step by Step<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Whether the prism has a rectangular, square, triangular, trapezoidal, or another polygonal base, the process is almost always the same.<\/p>\n\n\n\n<!-- Step-by-Step Prism Volume Tutor -->\n<div class=\"wk-prism-tutor\">\n  <style>\n    .wk-prism-tutor {\n      --wk-blue: #2563eb;\n      --wk-blue-light: #eff6ff;\n      --wk-blue-mid: #bfdbfe;\n      --wk-green: #15803d;\n      --wk-green-light: #f0fdf4;\n      --wk-red: #b91c1c;\n      --wk-red-light: #fef2f2;\n      --wk-text: #1e293b;\n      --wk-muted: #64748b;\n      --wk-border: #dbe4f0;\n      max-width: 820px;\n      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.wk-prism-tutor .wk-question {\n        font-size: 21px;\n      }\n\n      .wk-prism-tutor .wk-choice-grid {\n        grid-template-columns: 1fr;\n      }\n\n      .wk-prism-tutor .wk-button {\n        flex: 1 1 auto;\n      }\n    }\n  <\/style>\n\n  <div class=\"wk-panel\">\n    <div class=\"wk-progress-area\">\n      <div class=\"wk-progress-top\">\n        <span class=\"wk-progress-text\">Step 1 of 6<\/span>\n        <span>Prism Volume Tutor<\/span>\n      <\/div>\n      <div class=\"wk-progress-track\">\n        <div class=\"wk-progress-fill\"><\/div>\n      <\/div>\n    <\/div>\n\n    <!-- Step 1 -->\n    <section class=\"wk-step active\" data-step=\"1\">\n      <span class=\"wk-step-label\">Step 1<\/span>\n      <h3 class=\"wk-question\">What kind of prism is this?<\/h3>\n      <p class=\"wk-description\">\n        First, identify the shape of the two matching ends of the prism.\n      <\/p>\n\n      <div class=\"wk-example-box\">\n        <strong>Example:<\/strong> A prism has two matching triangular ends.\n        The triangle has a base of 8 cm and a height of 5 cm.\n        The distance between the two triangular ends is 10 cm.\n      <\/div>\n\n      <svg class=\"wk-diagram\" viewBox=\"0 0 460 245\" role=\"img\"\n        aria-label=\"A triangular prism with two triangular ends\">\n        <polygon points=\"70,175 125,65 180,175\"\n          fill=\"#bfdbfe\" stroke=\"#334155\" stroke-width=\"3\"\n          stroke-linejoin=\"round\"><\/polygon>\n        <polygon points=\"250,175 305,65 360,175\"\n          fill=\"#eff6ff\" stroke=\"#334155\" stroke-width=\"3\"\n          stroke-linejoin=\"round\"><\/polygon>\n        <line x1=\"70\" y1=\"175\" x2=\"250\" y2=\"175\"\n          stroke=\"#334155\" stroke-width=\"3\"><\/line>\n        <line x1=\"125\" y1=\"65\" x2=\"305\" y2=\"65\"\n          stroke=\"#334155\" stroke-width=\"3\"><\/line>\n        <line x1=\"180\" y1=\"175\" x2=\"360\" y2=\"175\"\n          stroke=\"#334155\" stroke-width=\"3\"><\/line>\n        <line x1=\"125\" y1=\"65\" x2=\"180\" y2=\"175\"\n          stroke=\"#334155\" stroke-width=\"3\"><\/line>\n        <line x1=\"305\" y1=\"65\" x2=\"360\" y2=\"175\"\n          stroke=\"#334155\" stroke-width=\"3\"><\/line>\n        <text x=\"125\" y=\"202\" text-anchor=\"middle\"\n          font-size=\"14\" fill=\"#1d4ed8\" font-weight=\"700\">Triangular base<\/text>\n        <text x=\"305\" y=\"48\" text-anchor=\"middle\"\n          font-size=\"14\" fill=\"#64748b\">Matching end<\/text>\n        <text x=\"215\" y=\"228\" text-anchor=\"middle\"\n          font-size=\"14\" fill=\"#64748b\">Prism extends in this direction<\/text>\n      <\/svg>\n\n      <p><strong>Choose the correct answer:<\/strong><\/p>\n\n      <div class=\"wk-choice-grid\" data-question=\"1\">\n        <button class=\"wk-choice\" data-value=\"rectangular\">Rectangular prism<\/button>\n        <button class=\"wk-choice\" data-value=\"triangular\">Triangular prism<\/button>\n        <button class=\"wk-choice\" data-value=\"square\">Square prism<\/button>\n        <button class=\"wk-choice\" data-value=\"trapezoidal\">Trapezoidal prism<\/button>\n      <\/div>\n\n      <div class=\"wk-feedback\" id=\"wk-feedback-1\"><\/div>\n\n      <div class=\"wk-button-row\">\n        <button class=\"wk-button secondary\" disabled>Back<\/button>\n        <button class=\"wk-button\" id=\"wk-check-1\">Check Answer<\/button>\n      <\/div>\n    <\/section>\n\n    <!-- Step 2 -->\n    <section class=\"wk-step\" data-step=\"2\">\n      <span class=\"wk-step-label\">Step 2<\/span>\n      <h3 class=\"wk-question\">Which face should we use as the base?<\/h3>\n      <p class=\"wk-description\">\n        A prism has two congruent, parallel bases. For this example, use one of the triangular ends.\n      <\/p>\n\n      <div class=\"wk-example-box\">\n        The triangular base has a base length of <strong>8 cm<\/strong>\n        and a triangle height of <strong>5 cm<\/strong>.\n      <\/div>\n\n      <svg class=\"wk-diagram\" viewBox=\"0 0 460 245\" role=\"img\"\n        aria-label=\"The triangular base of a triangular prism highlighted in blue\">\n        <polygon points=\"110,190 180,55 250,190\"\n          fill=\"#bfdbfe\" stroke=\"#1d4ed8\" stroke-width=\"4\"\n          stroke-linejoin=\"round\"><\/polygon>\n        <line x1=\"110\" y1=\"190\" x2=\"250\" y2=\"190\"\n          stroke=\"#1d4ed8\" stroke-width=\"4\"><\/line>\n        <line x1=\"180\" y1=\"55\" x2=\"180\" y2=\"190\"\n          stroke=\"#1d4ed8\" stroke-width=\"3\" stroke-dasharray=\"7 6\"><\/line>\n        <path d=\"M180 178 L192 178 L192 190\"\n          fill=\"none\" stroke=\"#1d4ed8\" stroke-width=\"3\"><\/path>\n        <text x=\"180\" y=\"215\" text-anchor=\"middle\"\n          font-size=\"16\" fill=\"#1d4ed8\" font-weight=\"700\">8 cm<\/text>\n        <text x=\"194\" y=\"126\" font-size=\"15\"\n          fill=\"#1d4ed8\" font-weight=\"700\">5 cm<\/text>\n        <text x=\"280\" y=\"115\" font-size=\"15\"\n          fill=\"#1d4ed8\" font-weight=\"700\">Base<\/text>\n        <line x1=\"270\" y1=\"120\" x2=\"235\" y2=\"145\"\n          stroke=\"#1d4ed8\" stroke-width=\"2\"><\/line>\n      <\/svg>\n\n      <p><strong>Which shape is the base in this example?<\/strong><\/p>\n\n      <div class=\"wk-choice-grid\" data-question=\"2\">\n        <button class=\"wk-choice\" data-value=\"rectangle\">A rectangle<\/button>\n        <button class=\"wk-choice\" data-value=\"triangle\">A triangle<\/button>\n        <button class=\"wk-choice\" data-value=\"square\">A square<\/button>\n        <button class=\"wk-choice\" data-value=\"trapezoid\">A trapezoid<\/button>\n      <\/div>\n\n      <div class=\"wk-feedback\" id=\"wk-feedback-2\"><\/div>\n\n      <div class=\"wk-button-row\">\n        <button class=\"wk-button secondary\" id=\"wk-back-2\">Back<\/button>\n        <button class=\"wk-button\" id=\"wk-check-2\">Check Answer<\/button>\n      <\/div>\n    <\/section>\n\n    <!-- Step 3 -->\n    <section class=\"wk-step\" data-step=\"3\">\n      <span class=\"wk-step-label\">Step 3<\/span>\n      <h3 class=\"wk-question\">Calculate the area of the triangular base<\/h3>\n      <p class=\"wk-description\">\n        Before calculating the volume, we need to find the area of the base.\n      <\/p>\n\n      <div class=\"wk-formula\">\n        Area of a triangle = \u00bd \u00d7 base \u00d7 triangle height\n      <\/div>\n\n      <div class=\"wk-example-box\">\n        Base = <strong>8 cm<\/strong><br>\n        Triangle height = <strong>5 cm<\/strong>\n      <\/div>\n\n      <p>Complete the calculation:<\/p>\n\n      <div class=\"wk-answer-line\">\n        <span>Area = \u00bd \u00d7 8 \u00d7 5 =<\/span>\n        <input class=\"wk-answer-input\" id=\"wk-input-3\"\n          type=\"number\" min=\"0\" step=\"any\" aria-label=\"Triangle base area\">\n        <span class=\"wk-unit\">cm\u00b2<\/span>\n      <\/div>\n\n      <div class=\"wk-feedback\" id=\"wk-feedback-3\"><\/div>\n\n      <div class=\"wk-button-row\">\n        <button class=\"wk-button secondary\" id=\"wk-back-3\">Back<\/button>\n        <button class=\"wk-button\" id=\"wk-check-3\">Check Answer<\/button>\n      <\/div>\n    <\/section>\n\n    <!-- Step 4 -->\n    <section class=\"wk-step\" data-step=\"4\">\n      <span class=\"wk-step-label\">Step 4<\/span>\n      <h3 class=\"wk-question\">Which formula should we use?<\/h3>\n      <p class=\"wk-description\">\n        Once we know the base area, multiply it by the perpendicular height of the prism.\n      <\/p>\n\n      <div class=\"wk-example-box\">\n        The triangular base area is <strong>20 cm\u00b2<\/strong>.\n        The perpendicular height of the prism is <strong>10 cm<\/strong>.\n      <\/div>\n\n      <p><strong>Choose the correct volume formula:<\/strong><\/p>\n\n      <div class=\"wk-choice-grid\" data-question=\"4\">\n        <button class=\"wk-choice\" data-value=\"add\">Volume = base area + prism height<\/button>\n        <button class=\"wk-choice\" data-value=\"divide\">Volume = base area \u00f7 prism height<\/button>\n        <button class=\"wk-choice\" data-value=\"multiply\">Volume = base area \u00d7 prism height<\/button>\n        <button class=\"wk-choice\" data-value=\"square\">Volume = base area \u00d7 prism height\u00b2<\/button>\n      <\/div>\n\n      <div class=\"wk-feedback\" id=\"wk-feedback-4\"><\/div>\n\n      <div class=\"wk-button-row\">\n        <button class=\"wk-button secondary\" id=\"wk-back-4\">Back<\/button>\n        <button class=\"wk-button\" id=\"wk-check-4\">Check Answer<\/button>\n      <\/div>\n    <\/section>\n\n    <!-- Step 5 -->\n    <section class=\"wk-step\" data-step=\"5\">\n      <span class=\"wk-step-label\">Step 5<\/span>\n      <h3 class=\"wk-question\">Calculate the volume<\/h3>\n      <p class=\"wk-description\">\n        Use the base area and the perpendicular height of the prism.\n      <\/p>\n\n      <div class=\"wk-formula\">\n        Volume = Base Area \u00d7 Perpendicular Height\n      <\/div>\n\n      <div class=\"wk-example-box\">\n        Base area = <strong>20 cm\u00b2<\/strong><br>\n        Perpendicular height = <strong>10 cm<\/strong>\n      <\/div>\n\n      <p>Complete the calculation:<\/p>\n\n      <div class=\"wk-answer-line\">\n        <span>Volume = 20 \u00d7 10 =<\/span>\n        <input class=\"wk-answer-input\" id=\"wk-input-5\"\n          type=\"number\" min=\"0\" step=\"any\" aria-label=\"Prism volume\">\n        <span class=\"wk-unit\">cm\u00b3<\/span>\n      <\/div>\n\n      <div class=\"wk-feedback\" id=\"wk-feedback-5\"><\/div>\n\n      <div class=\"wk-button-row\">\n        <button class=\"wk-button secondary\" id=\"wk-back-5\">Back<\/button>\n        <button class=\"wk-button\" id=\"wk-check-5\">Check Answer<\/button>\n      <\/div>\n    <\/section>\n\n    <!-- Step 6 -->\n    <section class=\"wk-step\" data-step=\"6\">\n      <span class=\"wk-step-label\">Step 6<\/span>\n      <h3 class=\"wk-question\">You solved the prism volume problem!<\/h3>\n      <p class=\"wk-description\">\n        Review the steps you used to find the volume.\n      <\/p>\n\n      <div class=\"wk-summary\">\n        <p><strong>1. Identify the prism:<\/strong> It is a triangular prism.<\/p>\n        <p><strong>2. Find the base:<\/strong> The base is a triangle.<\/p>\n        <p><strong>3. Find the base area:<\/strong> \u00bd \u00d7 8 \u00d7 5 = 20 cm\u00b2.<\/p>\n        <p><strong>4. Use the formula:<\/strong> Volume = base area \u00d7 perpendicular height.<\/p>\n        <p><strong>5. Calculate:<\/strong> 20 \u00d7 10 = 200 cm\u00b3.<\/p>\n        <p><strong>Final answer: 200 cm\u00b3<\/strong><\/p>\n      <\/div>\n\n      <p class=\"wk-mini-note\">\n        Remember: the height of the triangular base and the perpendicular height of the prism\n        are two different measurements.\n      <\/p>\n\n      <div class=\"wk-button-row\">\n        <button class=\"wk-button secondary\" id=\"wk-back-6\">Back<\/button>\n        <button class=\"wk-button\" id=\"wk-restart\">Practice Again<\/button>\n      <\/div>\n    <\/section>\n  <\/div>\n\n  <script>\n    (function () {\n      const root = document.querySelector(\".wk-prism-tutor\");\n      if (!root || root.dataset.initialized === \"true\") return;\n      root.dataset.initialized = \"true\";\n\n      let currentStep = 1;\n      const totalSteps = 6;\n\n      const answers = {\n        1: \"triangular\",\n        2: \"triangle\",\n        4: \"multiply\"\n      };\n\n      const explanations = {\n        1: {\n          correct: \"Correct! 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What is its volume?<\/p>\n\n\n\n<p>First find the base area:<\/p>\n\n\n\n<p><strong>A = 8 \u00d7 6 = 48 cm\u00b2<\/strong><\/p>\n\n\n\n<p>Now use the volume formula:<\/p>\n\n\n\n<p><strong>V = A \u00d7 h<\/strong><\/p>\n\n\n\n<p><strong>V = 48 \u00d7 5<\/strong><\/p>\n\n\n\n<p><strong>V = 240 cm\u00b3<\/strong><\/p>\n\n\n\n<p><strong>Answer: 240 cm\u00b3<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Example 2: Find the Missing Height<\/strong><\/p>\n\n\n\n<p>A prism has a rectangular base measuring 6 in by 8 in. Its volume is 240 in\u00b3. What is its perpendicular height?<\/p>\n\n\n\n<p>Start with:<\/p>\n\n\n\n<p><strong>V = A \u00d7 h<\/strong><\/p>\n\n\n\n<p>First find the base area:<\/p>\n\n\n\n<p><strong>A = 6 \u00d7 8 = 48 in\u00b2<\/strong><\/p>\n\n\n\n<p>Substitute the known values:<\/p>\n\n\n\n<p><strong>240 = 48 \u00d7 h<\/strong><\/p>\n\n\n\n<p>Divide both sides by 48:<\/p>\n\n\n\n<p><strong>h = 5 in<\/strong><\/p>\n\n\n\n<p><strong>Answer: The perpendicular height is 5 in.<\/strong><\/p>\n\n\n\n<p>Notice that the answer is a height, so it uses a linear unit, <strong>in<\/strong>, rather than a cubic unit.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Example 3: A Real-World Rectangular Prism<\/strong><\/p>\n\n\n\n<p>A storage box is shaped like a rectangular prism. It is 40 in long, 20 in wide, and 15 in high. Approximately how much space is inside the box?<\/p>\n\n\n\n<p>First find the base area:<\/p>\n\n\n\n<p><strong>A = 40 \u00d7 20<\/strong><\/p>\n\n\n\n<p><strong>A = 800 in\u00b2<\/strong><\/p>\n\n\n\n<p>Now use the prism volume formula:<\/p>\n\n\n\n<p><strong>V = A \u00d7 h<\/strong><\/p>\n\n\n\n<p><strong>V = 800 \u00d7 15<\/strong><\/p>\n\n\n\n<p><strong>V = 12,000 in\u00b3<\/strong><\/p>\n\n\n\n<p><strong>Answer: The volume is 12,000 in\u00b3.<\/strong><\/p>\n\n\n\n<p>This type of calculation can help estimate how much space is available inside a box, container, or other prism-shaped object.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Example 4: A Prism With a Triangular Base<\/strong><\/p>\n\n\n\n<p>A triangular prism has a triangular base with a base length of 12 cm and a triangle height of 5 cm. The perpendicular height of the prism is 9 cm. Find the volume.<\/p>\n\n\n\n<p>There are two heights in this problem, so read carefully.<\/p>\n\n\n\n<p>The <strong>5 cm<\/strong> measurement is used to find the area of the triangular base.<\/p>\n\n\n\n<p>The <strong>9 cm<\/strong> measurement is the <strong>perpendicular height of the prism<\/strong>.<\/p>\n\n\n\n<p>First find the triangle&#8217;s area:<\/p>\n\n\n\n<p><strong>A = (1\/2) \u00d7 12 \u00d7 5<\/strong><\/p>\n\n\n\n<p><strong>A = 30 cm\u00b2<\/strong><\/p>\n\n\n\n<p>Now find the prism&#8217;s volume:<\/p>\n\n\n\n<p><strong>V = A \u00d7 h<\/strong><\/p>\n\n\n\n<p><strong>V = 30 \u00d7 9<\/strong><\/p>\n\n\n\n<p><strong>V = 270 cm\u00b3<\/strong><\/p>\n\n\n\n<p><strong>Answer: 270 cm\u00b3<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" width=\"1024\" height=\"683\" src=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/09\/Volume-of-a-Prism_3-1024x683.png\" alt=\"Triangular prism showing triangle height and prism perpendicular height\" class=\"wp-image-65378\" style=\"width:537px;height:auto\" srcset=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/09\/Volume-of-a-Prism_3-1024x683.png 1024w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/09\/Volume-of-a-Prism_3-300x200.png 300w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/09\/Volume-of-a-Prism_3-768x512.png 768w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/09\/Volume-of-a-Prism_3-920x613.png 920w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/09\/Volume-of-a-Prism_3.png 1536w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/div>\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Example 5: A Composite Shape<\/strong><\/p>\n\n\n\n<p>A solid is made by combining two rectangular prisms.<\/p>\n\n\n\n<p>The first prism has a length of 10 ft, a width of 6 ft, and a height of 4 ft.<\/p>\n\n\n\n<p>The second prism has a length of 10 ft, a width of 3 ft, and a height of 8 ft.<\/p>\n\n\n\n<p>Find the total volume.<\/p>\n\n\n\n<p>First find the volume of the first prism:<\/p>\n\n\n\n<p><strong>V = 10 \u00d7 6 \u00d7 4<\/strong><\/p>\n\n\n\n<p><strong>V = 240 ft\u00b3<\/strong><\/p>\n\n\n\n<p>Now find the volume of the second prism:<\/p>\n\n\n\n<p><strong>V = 10 \u00d7 3 \u00d7 8<\/strong><\/p>\n\n\n\n<p><strong>V = 240 ft\u00b3<\/strong><\/p>\n\n\n\n<p>Finally, add the two volumes:<\/p>\n\n\n\n<p><strong>240 + 240 = 480 ft\u00b3<\/strong><\/p>\n\n\n\n<p><strong>Answer: The total volume is 480 ft\u00b3.<\/strong><\/p>\n\n\n\n<p>For composite solids, calculate the volume of each part separately and then combine the results.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"common-mistakes-to-avoid\"><\/span>Common Mistakes to Avoid<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<ol start=\"1\" class=\"wp-block-list\">\n<li>Using the Wrong Height<\/li>\n<\/ol>\n\n\n\n<p>For a prism, the height is the <strong>perpendicular distance between the two bases<\/strong>.<\/p>\n\n\n\n<p>Do not automatically use the longest measurement or a slanted measurement.<\/p>\n\n\n\n<ol start=\"2\" class=\"wp-block-list\">\n<li>Using the Wrong Base<\/li>\n<\/ol>\n\n\n\n<p>Make sure you identify one of the two congruent, parallel faces as the base.<\/p>\n\n\n\n<p>Then calculate the area of that base before using the volume formula.<\/p>\n\n\n\n<ol start=\"3\" class=\"wp-block-list\">\n<li>Forgetting That There Is No 1\/3<\/li>\n<\/ol>\n\n\n\n<p>A common mistake is using:<\/p>\n\n\n\n<p><strong>V = (1\/3) \u00d7 A \u00d7 h<\/strong><\/p>\n\n\n\n<p>That is the formula for a pyramid, not a prism.<\/p>\n\n\n\n<p>For a prism:<\/p>\n\n\n\n<p><strong>V = A \u00d7 h<\/strong><\/p>\n\n\n\n<ol start=\"4\" class=\"wp-block-list\">\n<li>Mixing Up the Two Heights in a Triangular Prism<\/li>\n<\/ol>\n\n\n\n<p>A triangular prism may involve a height for the triangular base and another height for the prism.<\/p>\n\n\n\n<p>For example, if a triangular base has a base of 12 cm and a triangle height of 5 cm, while the prism height is 9 cm:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>5 cm<\/strong> helps find the triangular base area.<\/li>\n\n\n\n<li><strong>9 cm<\/strong> is the perpendicular height of the prism.<\/li>\n<\/ul>\n\n\n\n<p>Do not automatically assume that every measurement labeled &#8220;height&#8221; refers to the same thing.<\/p>\n\n\n\n<ol start=\"5\" class=\"wp-block-list\">\n<li>Forgetting Cubic Units<\/li>\n<\/ol>\n\n\n\n<p>Volume is three-dimensional.<\/p>\n\n\n\n<p>If measurements are in centimeters, the answer should be in <strong>cm\u00b3<\/strong>.<\/p>\n\n\n\n<p>If measurements are in feet, the answer should be in <strong>ft\u00b3<\/strong>.<\/p>\n\n\n\n<ol start=\"6\" class=\"wp-block-list\">\n<li>Mixing Units Before Calculating<\/li>\n<\/ol>\n\n\n\n<p>If one measurement is in feet and another is in inches, convert them to the same unit before using the formula.<\/p>\n\n\n\n<p>For example, do not multiply 5 ft \u00d7 12 in without first converting the measurements to the same unit.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"practice-problems\"><\/span>Practice Problems<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<div class=\"wk-prism-practice\">\n  <style>\n    .wk-prism-practice {\n      --wk-blue: #4f7df3;\n      --wk-blue-light: #eef4ff;\n      --wk-blue-dark: #315fc9;\n      --wk-border: #dce5f7;\n      --wk-text: #26324a;\n      --wk-muted: #667085;\n      --wk-green: #2e9b67;\n      --wk-red: #d9534f;\n      max-width: 760px;\n      margin: 24px auto;\n      font-family: Arial, Helvetica, sans-serif;\n      color: var(--wk-text);\n    }\n\n    .wk-prism-card {\n      background: #ffffff;\n      border: 1px solid var(--wk-border);\n      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0;\n      color: var(--wk-muted);\n      font-size: 14px;\n      line-height: 1.5;\n    }\n\n    .wk-prism-buttons {\n      display: flex;\n      justify-content: space-between;\n      gap: 10px;\n      margin-top: 22px;\n    }\n\n    .wk-prism-btn {\n      border: none;\n      border-radius: 10px;\n      padding: 11px 18px;\n      font-size: 14px;\n      font-weight: 600;\n      cursor: pointer;\n      transition: all 0.2s ease;\n    }\n\n    .wk-prism-btn-primary {\n      background: var(--wk-blue);\n      color: #fff;\n    }\n\n    .wk-prism-btn-primary:hover {\n      background: var(--wk-blue-dark);\n    }\n\n    .wk-prism-btn-secondary {\n      background: #eef1f6;\n      color: #4b5565;\n    }\n\n    .wk-prism-btn-secondary:hover {\n      background: #e3e7ef;\n    }\n\n    .wk-prism-btn:disabled {\n      opacity: 0.5;\n      cursor: not-allowed;\n    }\n\n    .wk-prism-progress {\n      text-align: center;\n      margin-top: 20px;\n      color: var(--wk-muted);\n      font-size: 14px;\n    }\n\n    .wk-prism-result {\n      display: none;\n      text-align: center;\n      padding: 20px 10px 5px;\n    }\n\n    .wk-prism-score {\n      font-size: 34px;\n      font-weight: 700;\n      color: var(--wk-blue);\n      margin: 10px 0;\n    }\n\n    @media (max-width: 600px) {\n      .wk-prism-card {\n        padding: 20px;\n      }\n\n      .wk-prism-question {\n        font-size: 17px;\n      }\n\n      .wk-prism-buttons {\n        flex-direction: column;\n      }\n\n      .wk-prism-btn {\n        width: 100%;\n      }\n    }\n  <\/style>\n\n  <div class=\"wk-prism-card\">\n\n    <div class=\"wk-prism-intro\">\n      <p><strong>Try these quick questions and practice finding the volume of a prism.<\/strong><\/p>\n    <\/div>\n\n    <div class=\"wk-prism-reminder\">\n      Volume = base area \u00d7 perpendicular height\n    <\/div>\n\n    <div id=\"wkPrismQuiz\"><\/div>\n\n    <div class=\"wk-prism-result\" id=\"wkPrismResult\">\n      <div class=\"wk-prism-score\" id=\"wkPrismScore\"><\/div>\n      <button class=\"wk-prism-btn wk-prism-btn-primary\" onclick=\"wkPrismRestart()\">\n        Start Over\n      <\/button>\n    <\/div>\n\n  <\/div>\n\n  <script>\n    (function () {\n\n      const questions = [\n        {\n          question: \"A prism has a base area of 12 square units and a height of 6 units. What is its volume?\",\n          options: [\n            \"18 cubic units\",\n            \"72 cubic units\",\n            \"36 cubic units\",\n            \"2 cubic units\"\n          ],\n          answer: 1\n        },\n\n        {\n          question: \"A prism has a base area of 15 cm\u00b2 and a height of 4 cm. A student calculates 15 + 4 = 19 cm\u00b3. What did the student do incorrectly?\",\n          options: [\n            \"The student should multiply the base area by the height.\",\n            \"The student should divide the base area by the height.\",\n            \"The student should add the height twice.\",\n            \"The student should multiply the height by 2.\"\n          ],\n          answer: 0\n        },\n\n        {\n          question: \"A rectangular prism has a length of 6 meters, a width of 5 meters, and a height of 4 meters. 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What is the volume?\",\n          options: [\n            \"96 cm\u00b3\",\n            \"120 cm\u00b3\",\n            \"60 cm\u00b3\",\n            \"48 cm\u00b3\"\n          ],\n          answer: 3,\n          hint: \"First find the area of the triangular base.\"\n        }\n      ];\n\n      let current = 0;\n      let score = 0;\n      let answered = false;\n\n      const quiz = document.getElementById(\"wkPrismQuiz\");\n      const result = document.getElementById(\"wkPrismResult\");\n      const scoreBox = document.getElementById(\"wkPrismScore\");\n\n      function renderQuestion() {\n        answered = false;\n\n        const q = questions[current];\n\n        let html = `\n          <div class=\"wk-prism-question-number\">\n            Question ${current + 1} of ${questions.length}\n          <\/div>\n\n          <div class=\"wk-prism-question\">\n            ${q.question}\n          <\/div>\n        `;\n\n        if (q.hint) {\n          html += `\n            <div class=\"wk-prism-hint\">\n              \ud83d\udca1 ${q.hint}\n            <\/div>\n          `;\n        }\n\n        q.options.forEach((option, index) => {\n          html += `\n            <label class=\"wk-prism-option\" data-index=\"${index}\">\n              <input type=\"radio\" name=\"wkPrismAnswer\" value=\"${index}\">\n              ${String.fromCharCode(65 + index)}. ${option}\n            <\/label>\n          `;\n        });\n\n        html += `\n          <div class=\"wk-prism-feedback\" id=\"wkPrismFeedback\"><\/div>\n\n          <div class=\"wk-prism-buttons\">\n            <button\n              class=\"wk-prism-btn wk-prism-btn-secondary\"\n              onclick=\"wkPrismBack()\"\n              ${current === 0 ? \"disabled\" : \"\"}>\n              \u2190 Back\n            <\/button>\n\n            <button\n              class=\"wk-prism-btn wk-prism-btn-primary\"\n              id=\"wkPrismAction\"\n              onclick=\"wkPrismCheck()\">\n              ${current === questions.length - 1 ? \"Submit & See Results\" : \"Check Answer\"}\n            <\/button>\n          <\/div>\n\n          <div class=\"wk-prism-progress\">\n            ${current + 1} \/ ${questions.length}\n          <\/div>\n        `;\n\n        quiz.innerHTML = html;\n      }\n\n      window.wkPrismCheck = function () {\n\n        if (answered) {\n          if (current < questions.length - 1) {\n            current++;\n            renderQuestion();\n          } else {\n            showResult();\n          }\n          return;\n        }\n\n        const selected = document.querySelector(\n          'input[name=\"wkPrismAnswer\"]:checked'\n        );\n\n        const feedback = document.getElementById(\"wkPrismFeedback\");\n\n        if (!selected) {\n          feedback.textContent = \"Please select an answer.\";\n          feedback.className = \"wk-prism-feedback wrong\";\n          return;\n        }\n\n        const selectedIndex = Number(selected.value);\n        const correctIndex = questions[current].answer;\n\n        document.querySelectorAll(\".wk-prism-option\").forEach(function (option) {\n          const index = Number(option.dataset.index);\n\n          if (index === correctIndex) {\n            option.classList.add(\"wk-correct\");\n          }\n\n          if (index === selectedIndex &#038;&#038; index !== correctIndex) {\n            option.classList.add(\"wk-wrong\");\n          }\n        });\n\n        if (selectedIndex === correctIndex) {\n          score++;\n          feedback.textContent = \"Correct!\";\n          feedback.className = \"wk-prism-feedback correct\";\n        } else {\n          feedback.textContent =\n            \"Not quite. The correct answer is \" +\n            String.fromCharCode(65 + correctIndex) + \".\";\n          feedback.className = \"wk-prism-feedback wrong\";\n        }\n\n        document.querySelectorAll(\n          'input[name=\"wkPrismAnswer\"]'\n        ).forEach(function (input) {\n          input.disabled = true;\n        });\n\n        answered = true;\n\n        const action = document.getElementById(\"wkPrismAction\");\n\n        if (current < questions.length - 1) {\n          action.textContent = \"Next \u2192\";\n        } else {\n          action.textContent = \"See Results\";\n        }\n      };\n\n      window.wkPrismBack = function () {\n        if (current > 0) {\n          current--;\n          renderQuestion();\n        }\n      };\n\n      function showResult() {\n        quiz.style.display = \"none\";\n        result.style.display = \"block\";\n\n        scoreBox.textContent = score + \" \/ \" + questions.length;\n      }\n\n      window.wkPrismRestart = function () {\n        current = 0;\n        score = 0;\n        quiz.style.display = \"block\";\n        result.style.display = \"none\";\n        renderQuestion();\n      };\n\n      renderQuestion();\n\n    })();\n  <\/script>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"faqs\"><\/span>FAQs:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">What Is the Formula for the Volume of a Prism?<\/h3>\n\n\n\n<p>The general formula is:<\/p>\n\n\n\n<p><strong>V = A \u00d7 h<\/strong><\/p>\n\n\n\n<p><code>A<\/code> is the area of the base, and <code>h<\/code> is the perpendicular height of the prism.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">How Do You Find the Volume of a Prism?<\/h3>\n\n\n\n<p>First find the area of one of the prism&#8217;s bases. Then multiply the base area by the perpendicular height between the two bases.<\/p>\n\n\n\n<p>In short:<\/p>\n\n\n\n<p><strong>Volume = base area \u00d7 perpendicular height<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Is Slant Height Used to Find the Volume of a Prism?<\/h3>\n\n\n\n<p>The standard volume formula uses the <strong>perpendicular distance between the bases<\/strong>.<\/p>\n\n\n\n<p>If a diagram includes a slanted measurement, do not automatically use it as the prism&#8217;s height. The correct height is the distance between the bases measured perpendicular to them.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Why Does a Prism Formula Not Have 1\/3?<\/h3>\n\n\n\n<p>A prism has the same cross-sectional area throughout its height. Its volume is therefore the base area multiplied by the perpendicular height:<\/p>\n\n\n\n<p><strong>V = A \u00d7 h<\/strong><\/p>\n\n\n\n<p>The <code>1\/3<\/code> factor applies to pyramids, not prisms.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">What Units Should Be Used for Prism Volume?<\/h3>\n\n\n\n<p>Volume should always be expressed in <strong>cubic units<\/strong>, such as cm\u00b3, in\u00b3, or ft\u00b3. If the measurements are given in different units, convert them before calculating.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"key-takeaways\"><\/span>Key Takeaways<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The main <strong>volume of a prism<\/strong> formula is <strong>V = A \u00d7 h<\/strong>.<\/li>\n\n\n\n<li><code>A<\/code> represents the area of one of the prism&#8217;s bases.<\/li>\n\n\n\n<li><code>h<\/code> represents the <strong>perpendicular distance between the two bases<\/strong>.<\/li>\n\n\n\n<li>The base can be a rectangle, square, triangle, trapezoid, or another polygon.<\/li>\n\n\n\n<li>Unlike a pyramid, a prism does <strong>not<\/strong> use a <code>1\/3<\/code> factor.<\/li>\n\n\n\n<li>Always check your units and express volume in <strong>cubic units<\/strong>.<\/li>\n\n\n\n<li>For composite solids, calculate each part separately and then combine the volumes.<\/li>\n<\/ul>\n\n\n\n<p>To find the volume of a prism, first find the area of its base, then multiply it by the perpendicular height. If your child needs more practice with these ideas, an <a href=\"https:\/\/www.wukongsch.com\/learn-math\/\">online math class for kids<\/a> can provide extra support.<\/p>\n\n\n\n<p><\/p>\n<div class=\"retention-card-new\" data-lang=\"en\" data-subject=\"MATH\" data-btnName=\"Get started free!\" data-subTitle=\"Suitable for students worldwide, from grades K-12.\">\r\n    <div class=\"retention-card-l\">\r\n        <div class=\"trustpilot-image\">\r\n            <!-- TrustBox widget - Micro Star -->\r\n            <div class=\"trustpilot-widget\" data-locale=\"en-US\" data-template-id=\"5419b732fbfb950b10de65e5\" data-businessunit-id=\"60c847b7f033d300019ff3a1\" data-style-height=\"24px\" data-style-width=\"272px\" data-token=\"7dc9fdab-8926-4826-ad90-81ab38cc0953\">\r\n              <a href=\"https:\/\/www.trustpilot.com\/review\/wukongsch.com\" target=\"_blank\" rel=\"noopener\">Trustpilot<\/a>\r\n            <\/div>\r\n            <!-- End TrustBox widget -->\r\n        <\/div>\r\n        <h3><p>Discovering the maths whiz in every child,<br \/>\n<span>that&#8217;s what we do.<\/span><\/p>\n<\/h3>\r\n        <p>Suitable for students worldwide, from grades K-12.<\/p>\r\n        <a class=\"retention-card-button is-point\" href=\"https:\/\/www.wukongsch.com\/independent-appointment\/?subject=math&amp;l=eafd8b18-486b-4e0a-b93d-4105d41d2067&amp;booking_triggerevent=BLOG_DETAIL_MODEL_CTA_BUTTON\" data-buttonname=\"\u7acb\u5373\u9884\u7ea6\u6309\u94ae\u70b9\u51fb\" data-event=\"C_Blog_BLOG_DETAIL_MIDDLE_CTA_BUTTON\" data-expose-buttonname=\"\u7acb\u5373\u9884\u7ea6\u6309\u94ae\u66dd\u5149\" data-expose-event=\"D_Blog_BLOG_DETAIL_MIDDLE_CTA_BUTTON\" target=\"_blank\" title=\"Get started free!\">\r\n            Get started free!\r\n        <\/a>\r\n    <\/div>\r\n    <div class=\"retention-card-r\"><\/div>\r\n<\/div>","protected":false},"excerpt":{"rendered":"<p>Finding the volume of a prism is an important geometry skill, but many students get confused about which measurements to use or how to identify the base. The key idea is simple: multiply the area of the base by the perpendicular height of the prism. The prism volume formula is: V = A \u00d7 h where: In this guide, you will learn what the volume of a prism means, how the formula works, how to use it with different bases, how to solve for missing measurements, and how to avoid common mistakes. What Is the Volume of a Prism? The volume of a prism is the amount of three-dimensional space inside the prism. Every prism has two important parts: The&#46;&#46;&#46;<\/p>\n","protected":false},"author":211806825,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_coblocks_attr":"","_coblocks_dimensions":"","_coblocks_responsive_height":"","_coblocks_accordion_ie_support":"","footnotes":""},"categories":[134689],"tags":[137560],"class_list":["post-65374","post","type-post","status-publish","format-standard","hentry","category-math-learning","tag-geometry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v22.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Volume of a Prism: Formula, Examples, and Practice - WuKong Education<\/title>\n<meta name=\"description\" content=\"Learn how to find the volume of a prism with simple formulas, step-by-step examples, common mistakes, and practice problems for students.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Volume of a Prism: Formula, Examples, and Practice - WuKong Education\" \/>\n<meta property=\"og:description\" content=\"Learn how to find the volume of a prism with simple formulas, step-by-step examples, common mistakes, and practice problems for students.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.wukongsch.com\/blog\/volume-of-a-prism-post-65374\/\" \/>\n<meta property=\"og:site_name\" content=\"WuKong Education\" \/>\n<meta property=\"article:published_time\" content=\"2026-09-15T04:07:01+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-09-15T05:17:33+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/09\/Volume-of-a-Prism_1-1024x683.png\" \/>\n<meta name=\"author\" content=\"Demi | WuKong Math Teacher\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Demi | WuKong Math Teacher\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"10 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.wukongsch.com\/blog\/volume-of-a-prism-post-65374\/\",\"url\":\"https:\/\/www.wukongsch.com\/blog\/volume-of-a-prism-post-65374\/\",\"name\":\"Volume of a Prism: Formula, Examples, and Practice - WuKong Education\",\"isPartOf\":{\"@id\":\"https:\/\/www.wukongsch.com\/blog\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/www.wukongsch.com\/blog\/volume-of-a-prism-post-65374\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/www.wukongsch.com\/blog\/volume-of-a-prism-post-65374\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/09\/Volume-of-a-Prism_1-1024x683.png\",\"datePublished\":\"2026-09-15T04:07:01+00:00\",\"dateModified\":\"2026-09-15T05:17:33+00:00\",\"author\":{\"@id\":\"https:\/\/www.wukongsch.com\/blog\/#\/schema\/person\/d422681d9a86c4ba7477d990e45701d0\"},\"description\":\"Learn how to find the volume of a prism with simple formulas, step-by-step examples, common mistakes, and practice problems for students.\",\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.wukongsch.com\/blog\/volume-of-a-prism-post-65374\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www.wukongsch.com\/blog\/volume-of-a-prism-post-65374\/#primaryimage\",\"url\":\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/09\/Volume-of-a-Prism_1-1024x683.png\",\"contentUrl\":\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2026\/09\/Volume-of-a-Prism_1-1024x683.png\"},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.wukongsch.com\/blog\/#website\",\"url\":\"https:\/\/www.wukongsch.com\/blog\/\",\"name\":\"WuKong Edu Blog\",\"description\":\"The latest news and comprehensive content about K-12 and Pre-K12 education for Chinese learning &amp; International Math &amp; English reading, writing learning for 3-18 students.\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.wukongsch.com\/blog\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/www.wukongsch.com\/blog\/#\/schema\/person\/d422681d9a86c4ba7477d990e45701d0\",\"name\":\"Demi | WuKong Math Teacher\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www.wukongsch.com\/blog\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/litespeed\/avatar\/134c3d40a97878471e0c729db52351ea.jpg?ver=1789436830\",\"contentUrl\":\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/litespeed\/avatar\/134c3d40a97878471e0c729db52351ea.jpg?ver=1789436830\",\"caption\":\"Demi | WuKong Math Teacher\"},\"description\":\"I am an educator from Yale University with ten years of experience in mathematics education, including extensive hands-on experience preparing students for the SAT Math section. I believe that my professional expertise and refined teaching approach will allow me to make a meaningful contribution to the growth of Wukong Education. 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