{"id":25708,"date":"2023-03-02T12:58:32","date_gmt":"2023-03-02T12:58:32","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=25708"},"modified":"2024-03-15T06:16:43","modified_gmt":"2024-03-15T06:16:43","slug":"volume-of-rectangular-pyramid-formula-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/rectangular-pyramid-volume","title":{"rendered":"Volume of Rectangular Pyramid: Formula, Examples"},"content":{"rendered":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-b3ed0ebe-3d0f-49be-809d-7ff1d33127e1\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/rectangular-pyramid-volume#0-what-is-the-volume-of-a-rectangular-pyramid>What Is the Volume of a Rectangular Pyramid?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/rectangular-pyramid-volume#1-volume-of-rectangular-pyramid-formula>Volume of Rectangular Pyramid Formula<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/rectangular-pyramid-volume#2-how-to-find-the-volume-of-a-rectangular-pyramid->How to Find the Volume of a Rectangular Pyramid&nbsp;<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/rectangular-pyramid-volume#5-solved-examples>Solved Examples<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/rectangular-pyramid-volume#6-practice-problems-on-volume-of-rectangular-pyramid>Practice Problems on Volume of Rectangular Pyramid<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/rectangular-pyramid-volume#7-frequently-asked-questions-on-volume-of-rectangular-pyramid>Frequently Asked Questions on Volume of Rectangular Pyramid<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-the-volume-of-a-rectangular-pyramid\">What Is the Volume of a Rectangular Pyramid?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>A rectangular pyramid is a three dimensional object with a rectangle as its base and triangular lateral faces<\/strong>. A rectangular pyramid is crowned at the top at a point known as the apex. Except for the base, all the faces connect at a vertex at the top called the apex.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, a rectangular pyramid has these main parts: a rectangular base, four triangular faces, five vertices, and eight edges.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"324\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/features-of-a-rectangular-pyramid.png\" alt=\"Features of a rectangular pyramid\" class=\"wp-image-40958\" title=\"Features of a rectangular pyramid\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/features-of-a-rectangular-pyramid.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/features-of-a-rectangular-pyramid-300x157.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Depending on the position of the axis of the rectangular pyramid, it is classified into two types.&nbsp;<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Right rectangular pyramid:<\/strong> The apex is aligned with the center of the base.&nbsp;<\/li>\n\n\n\n<li class=\"eplus-wrapper\"><strong>Oblique rectangular pyramid:<\/strong> The apex is not aligned with the center of the base. The perpendicular line drawn from the apex to the base of the pyramid determines the height of the oblique rectangular pyramid.<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">The <strong>amount of unit cubes that can fit within a rectangular pyramid is called its volume<\/strong>. The volume is measured in cubic units. For example, it can be expressed as $in^{3},\\; ft^{3},\\; unit^{3}$, etc., depending upon the given units. The general formula to calculate the volume of a pyramid is equal to one-third the product of the area of the base and the height of the pyramid.<\/p>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/count-objects-in-rectangular-arrays\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/count_comp_hoppys_list_10_gm.png\" alt=\"Count Objects in Rectangular Arrays Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Count Objects in Rectangular Arrays Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/estimate-the-volume-of-a-given-shape\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_estimate_vol_1_pt.png\" alt=\"Estimate the Volume of a Given Shape Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Estimate the Volume of a Given Shape Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-the-volume-of-the-3d-shape-by-iterating\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_iterate_vol_1_pt.png\" alt=\"Find the Volume of the 3D Shape by Iterating Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find the Volume of the 3D Shape by Iterating Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-the-volume-using-unit-cubes\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_vol_unit_cubes_2_pt.png\" alt=\"Find the Volume using Unit Cubes Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find the Volume using Unit Cubes Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-volume-using-the-formula\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_vol_formula_pt.png\" alt=\"Find Volume using the Formula Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find Volume using the Formula Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/introduction-to-volume\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_vol_unit_cubes_1_pt.png\" alt=\"Introduction to Volume Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Introduction to Volume Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/iterate-and-find-the-total-volume\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_iterate_vol_2_pt.png\" alt=\"Iterate and Find the Total Volume Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Iterate and Find the Total Volume Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/solve-the-word-problems-related-to-volume\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_vol_word_prob_pt.png\" alt=\"Solve the Word Problems Related to Volume Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Solve the Word Problems Related to Volume Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/use-the-3d-shapes-to-estimate-the-volume\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_estimate_vol_2_pt.png\" alt=\"Use the 3D Shapes to Estimate the Volume Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Use the 3D Shapes to Estimate the Volume Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"1-volume-of-rectangular-pyramid-formula\">Volume of Rectangular Pyramid Formula<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The volume of a rectangular pyramid depends on the area of the base and its height. It is measured in cubic units. The formula for the volume of the rectangular pyramid is as follows:<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Volume <\/strong>$= \\frac{1}{3}\\times$<strong> Base Area<\/strong>$\\times$ <strong>Height<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"332\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/volume-of-a-rectangular-pyramid.png\" alt=\"Volume of a rectangular pyramid\" class=\"wp-image-40959\" title=\"Volume of a rectangular pyramid\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/volume-of-a-rectangular-pyramid.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/volume-of-a-rectangular-pyramid-300x161.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Here,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">l $=$ length of the rectangular base<\/p>\n\n\n\n<p class=\"eplus-wrapper\">w $=$ width of the rectangular&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">h $=$ perpendicular height of rectangular pyramid<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Base area of the rectangular pyramid $=$ Area of rectangle $=$ Length $\\times$ Width $= l \\times w$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Volume of rectangular pyramid $= \\frac{1}{3} \\times $length $\\times$width $\\times$ height $= \\frac{1}{3} \\times$ l $\\times$ w $\\times$ h<\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/complete-the-number-pyramid\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/complete-the-number-pyramid.jpeg\" alt=\"Complete the Number Pyramid Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/fill-the-number-pyramid\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/fill-the-number-pyramid.jpeg\" alt=\"Fill the Number Pyramid Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/subtract-to-complete-the-number-pyramid\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/subtract-to-complete-the-number-pyramid.jpeg\" alt=\"Subtract to Complete the Number Pyramid Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-how-to-find-the-volume-of-a-rectangular-pyramid-\">How to Find the Volume of a Rectangular Pyramid&nbsp;<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The volume of a rectangular pyramid is calculated using the formula:&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Volume $= \\frac{1}{3} \\times$ Base Area $\\times$ Height $= \\frac{1}{3} \\times$ l $\\times$ w $\\times$ h<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Let&#8217;s look at the steps to find the volume of a rectangular pyramid.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 1:<\/strong> Find the area of the base of the pyramid using the formula of area of rectangle.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Area of the base $=$ Length $\\times$ Breadth<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 2: <\/strong>Find the volume using the formula: Volume $= \\frac{1}{3} \\times $ Base Area $\\times$ Height&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 3: <\/strong>The volume is expressed in cubic units, like $in^{3},\\; ft^{3},\\; unit^{3}$, etc.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-fun-facts\">Fun Facts!<\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">The rectangular pyramid is one of the most common pyramids we encounter the first time we learn about three-dimensional figures.&nbsp;<\/li>\n<\/ul>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">A rectangular pyramid is a three-dimensional figure that has triangles as surfaces and a rectangle as its base.&nbsp;&nbsp;<\/li>\n<\/ul>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">The volume of a rectangular pyramid is simply equal to the amount of space that can be occupied within the rectangular pyramid.<\/li>\n<\/ul>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">The volume of a rectangular pyramid is a third of the corresponding rectangular prism.<\/li>\n<\/ul>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Three rectangular-based pyramids fill one rectangular cuboid (with the same size base and height).<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">In this article, we learned the definition, meaning, and formula of the volume of a rectangular pyramid. Let\u2019s solve some examples to understand it better.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-solved-examples\">Solved Examples<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>1. Determine the volume of a rectangular pyramid shaped tank whose base area and height are <\/strong>$60\\; ft^{2}$<strong> and 10 ft respectively.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Area of the rectangular base $= 60\\; ft^{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The height of the pyramid shaped tank $= 10\\; ft$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">We know that,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The volume of the rectangular pyramid (V) $= \\frac{1}{3} \\times$ Base Area $\\times$ Height<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= \\frac{1}{3} \\times60 \\times10$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= 20 \\times 10$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= 200\\; ft^{3}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Hence, the volume of the given rectangular pyramid shaped tank&nbsp; is $200\\; ft^{3}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>2. Find the volume of a rectangular pyramid if the base length is 10 inches and the base width is 6 inches, and the height of the pyramid is 14 inches.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Base length (l) $= 10$ inches<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Base width (w) $= 6$ inches<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The height of the pyramid (h) $= 14$ inches<\/p>\n\n\n\n<p class=\"eplus-wrapper\">We know that,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Base area of rectangular pyramid $=$ length $\\times$ width&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= 10 \\times 6$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= 60\\; in^{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Now, The volume of the rectangular pyramid (V) $= \\frac{1}{3} \\times$ Base Area $\\times$ Height<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= \\frac{1}{3} \\times 60 \\times 14$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= 13 \\times 840$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= 280\\; in^{3}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Hence, the volume of the given rectangular pyramid is $280\\; in^{3}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>3. Determine the height of a rectangular pyramid whose base area and volume are 120 <\/strong>$ft^{2}$<strong> and 360 <\/strong>$ft^{3}$<strong>, respectively.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Area of the rectangular base $= 120\\; ft^{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The volume of the rectangular pyramid $= 360\\; ft^{3}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">We know that,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The volume of the rectangular pyramid (V) $= \\frac{1}{3} \\times$ Base Area $\\times$ Height<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$360 = \\frac{1}{3} \\times 120 \\times$ Height<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$360 = 40 \\times$ h<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;h&nbsp; $= \\frac{360}{40}$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= 9$ ft.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Hence, the height of the given rectangular pyramid is 9 ft.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>4. The base of rectangular pyramid has a dimension of <\/strong>$8\\; ft \\times 10\\;ft$<strong> and its height is 12 ft. What is the volume of the rectangular pyramid?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">h $= 12$ inches.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The base area $= 8 \\times 10 = 80\\; ft^{2}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The volume of the rectangular pyramid (V) $= \\frac{1}{3} \\times$ Base Area $\\times$ Height<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= \\frac{1}{3} \\times (80) \\times 12$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= \\frac{960}{3}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= 320\\; ft^{3}$<br>Volume of the given rectangular pyramid $=&nbsp; 320\\; ft^{3}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-practice-problems-on-volume-of-rectangular-pyramid\">Practice Problems on Volume of Rectangular Pyramid<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Volume of Rectangular Pyramid: Formula, Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">When the peak or the apex of a rectangular pyramid is not directly above the center of the base, the pyramid is said to be  ___________ .<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">oblique<\/div><div class=\"spq_answer_block\" data-value=\"1\">right<\/div><div class=\"spq_answer_block\" data-value=\"2\">Both a and b<\/div><div class=\"spq_answer_block\" data-value=\"3\">None of these<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: oblique<br\/>In the right rectangular pyramid, the apex is directly above the center of the base and in the oblique pyramid the apex is not directly above the center.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Which of the following is NOT the unit of measurement of volume?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$ft^{3}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$In^{3}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$yard^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">None of the above.<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $yard^{2}$<br\/>Volume is expressed in cubic units (3), because it is measured in three dimensions (e.g. length$\\times$width$\\times$depth) and is expressed as  $ft^{3},in^{3},yard^{3}$, etc.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">The volume of a rectangular pyramid is found using the formula  ___________ .<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Volume $= \\frac{1}{3} \\times$ Base Area $\\times$ Height<\/div><div class=\"spq_answer_block\" data-value=\"1\">Volume $= \\frac{1}{3} \\times$ Length $\\times$ Width $\\times$ Height<\/div><div class=\"spq_answer_block\" data-value=\"2\">Both a and b<\/div><div class=\"spq_answer_block\" data-value=\"3\">None of the above.<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: Both a and b<br\/>The formula for the volume of the rectangular pyramid is,<br>\r\nVolume $= \\frac{1}{3} \\times$ Base Area $\\times$ Height<br>\r\nHere, base area of the rectangular pyramid $=$ Length $\\times$ Width (as the base is a rectangle)<br>\r\nThus,<br>\r\nVolume of rectangular pyramid $= \\frac{1}{3} \\times$ length $\\times$ width $\\times$ height.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">What is the volume of a rectangular pyramid that has a base area of 18 square units and height 4 units?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$12\\;unit^{3}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$4.5\\;unit^{3}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$72\\;unit^{3}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$24\\;unit^{3}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $24\\;unit^{3}$<br\/>Volume of rectangular pyramid $= \\frac{1}{3} \\times$ Base Area $\\times$ Height<br>\r\n$= \\frac{1}{3}\\times18\\times4$<br>\r\n$= 24\\;unit^{3}$<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Volume of Rectangular Pyramid: Formula, Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Volume of Rectangular Pyramid\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"When the peak or the apex of a rectangular pyramid is not directly above the center of the base, the pyramid is said to be  ___________ .\",\n                    \"text\": \"When the peak or the apex of a rectangular pyramid is not directly above the center of the base, the pyramid is said to be  ___________ .\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"In the right rectangular pyramid, the apex is directly above the center of the base and in the oblique pyramid the apex is not directly above the center.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"right\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"In the right rectangular pyramid, the apex is directly above the center of the base and in the oblique pyramid the apex is not directly above the center.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Both a and b\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"In the right rectangular pyramid, the apex is directly above the center of the base and in the oblique pyramid the apex is not directly above the center.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"None of these\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"In the right rectangular pyramid, the apex is directly above the center of the base and in the oblique pyramid the apex is not directly above the center.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"oblique\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"In the right rectangular pyramid, the apex is directly above the center of the base and in the oblique pyramid the apex is not directly above the center.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"In the right rectangular pyramid, the apex is directly above the center of the base and in the oblique pyramid the apex is not directly above the center.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following is NOT the unit of measurement of volume?\",\n                    \"text\": \"Which of the following is NOT the unit of measurement of volume?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Volume is expressed in cubic units (3), because it is measured in three dimensions (e.g. length$$\\\\times$$width$$\\\\times$$depth) and is expressed as  $$ft^{3},in^{3},yard^{3}$$, etc.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$ft^{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Volume is expressed in cubic units (3), because it is measured in three dimensions (e.g. length$$\\\\times$$width$$\\\\times$$depth) and is expressed as  $$ft^{3},in^{3},yard^{3}$$, etc.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$In^{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Volume is expressed in cubic units (3), because it is measured in three dimensions (e.g. length$$\\\\times$$width$$\\\\times$$depth) and is expressed as  $$ft^{3},in^{3},yard^{3}$$, etc.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"None of the above.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Volume is expressed in cubic units (3), because it is measured in three dimensions (e.g. length$$\\\\times$$width$$\\\\times$$depth) and is expressed as  $$ft^{3},in^{3},yard^{3}$$, etc.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$yard^{2}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Volume is expressed in cubic units (3), because it is measured in three dimensions (e.g. length$$\\\\times$$width$$\\\\times$$depth) and is expressed as  $$ft^{3},in^{3},yard^{3}$$, etc.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Volume is expressed in cubic units (3), because it is measured in three dimensions (e.g. length$$\\\\times$$width$$\\\\times$$depth) and is expressed as  $$ft^{3},in^{3},yard^{3}$$, etc.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The volume of a rectangular pyramid is found using the formula  ___________ .\",\n                    \"text\": \"The volume of a rectangular pyramid is found using the formula  ___________ .\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The formula for the volume of the rectangular pyramid is,<br>\r\nVolume $$= \\\\frac{1}{3} \\\\times$$ Base Area $$\\\\times$$ Height<br>\r\nHere, base area of the rectangular pyramid $$=$$ Length $$\\\\times$$ Width (as the base is a rectangle)<br>\r\nThus,<br>\r\nVolume of rectangular pyramid $$= \\\\frac{1}{3} \\\\times$$ length $$\\\\times$$ width $$\\\\times$$ height.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Volume $$= \\\\frac{1}{3} \\\\times$$ Base Area $$\\\\times$$ Height\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The formula for the volume of the rectangular pyramid is,<br>\r\nVolume $$= \\\\frac{1}{3} \\\\times$$ Base Area $$\\\\times$$ Height<br>\r\nHere, base area of the rectangular pyramid $$=$$ Length $$\\\\times$$ Width (as the base is a rectangle)<br>\r\nThus,<br>\r\nVolume of rectangular pyramid $$= \\\\frac{1}{3} \\\\times$$ length $$\\\\times$$ width $$\\\\times$$ height.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Volume $$= \\\\frac{1}{3} \\\\times$$ Length $$\\\\times$$ Width $$\\\\times$$ Height\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The formula for the volume of the rectangular pyramid is,<br>\r\nVolume $$= \\\\frac{1}{3} \\\\times$$ Base Area $$\\\\times$$ Height<br>\r\nHere, base area of the rectangular pyramid $$=$$ Length $$\\\\times$$ Width (as the base is a rectangle)<br>\r\nThus,<br>\r\nVolume of rectangular pyramid $$= \\\\frac{1}{3} \\\\times$$ length $$\\\\times$$ width $$\\\\times$$ height.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"None of the above.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The formula for the volume of the rectangular pyramid is,<br>\r\nVolume $$= \\\\frac{1}{3} \\\\times$$ Base Area $$\\\\times$$ Height<br>\r\nHere, base area of the rectangular pyramid $$=$$ Length $$\\\\times$$ Width (as the base is a rectangle)<br>\r\nThus,<br>\r\nVolume of rectangular pyramid $$= \\\\frac{1}{3} \\\\times$$ length $$\\\\times$$ width $$\\\\times$$ height.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Both a and b\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The formula for the volume of the rectangular pyramid is,<br>\r\nVolume $$= \\\\frac{1}{3} \\\\times$$ Base Area $$\\\\times$$ Height<br>\r\nHere, base area of the rectangular pyramid $$=$$ Length $$\\\\times$$ Width (as the base is a rectangle)<br>\r\nThus,<br>\r\nVolume of rectangular pyramid $$= \\\\frac{1}{3} \\\\times$$ length $$\\\\times$$ width $$\\\\times$$ height.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The formula for the volume of the rectangular pyramid is,<br>\r\nVolume $$= \\\\frac{1}{3} \\\\times$$ Base Area $$\\\\times$$ Height<br>\r\nHere, base area of the rectangular pyramid $$=$$ Length $$\\\\times$$ Width (as the base is a rectangle)<br>\r\nThus,<br>\r\nVolume of rectangular pyramid $$= \\\\frac{1}{3} \\\\times$$ length $$\\\\times$$ width $$\\\\times$$ height.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the volume of a rectangular pyramid that has a base area of 18 square units and height 4 units?\",\n                    \"text\": \"What is the volume of a rectangular pyramid that has a base area of 18 square units and height 4 units?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Volume of rectangular pyramid $$= \\\\frac{1}{3} \\\\times$$ Base Area $$\\\\times$$ Height<br>\r\n$$= \\\\frac{1}{3}\\\\times18\\\\times4$$<br>\r\n$$= 24\\\\;unit^{3}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$12\\\\;unit^{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Volume of rectangular pyramid $$= \\\\frac{1}{3} \\\\times$$ Base Area $$\\\\times$$ Height<br>\r\n$$= \\\\frac{1}{3}\\\\times18\\\\times4$$<br>\r\n$$= 24\\\\;unit^{3}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$4.5\\\\;unit^{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Volume of rectangular pyramid $$= \\\\frac{1}{3} \\\\times$$ Base Area $$\\\\times$$ Height<br>\r\n$$= \\\\frac{1}{3}\\\\times18\\\\times4$$<br>\r\n$$= 24\\\\;unit^{3}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$72\\\\;unit^{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Volume of rectangular pyramid $$= \\\\frac{1}{3} \\\\times$$ Base Area $$\\\\times$$ Height<br>\r\n$$= \\\\frac{1}{3}\\\\times18\\\\times4$$<br>\r\n$$= 24\\\\;unit^{3}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$24\\\\;unit^{3}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Volume of rectangular pyramid $$= \\\\frac{1}{3} \\\\times$$ Base Area $$\\\\times$$ Height<br>\r\n$$= \\\\frac{1}{3}\\\\times18\\\\times4$$<br>\r\n$$= 24\\\\;unit^{3}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Volume of rectangular pyramid $$= \\\\frac{1}{3} \\\\times$$ Base Area $$\\\\times$$ Height<br>\r\n$$= \\\\frac{1}{3}\\\\times18\\\\times4$$<br>\r\n$$= 24\\\\;unit^{3}$$\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-frequently-asked-questions-on-volume-of-rectangular-pyramid\">Frequently Asked Questions on Volume of Rectangular Pyramid<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-7ebbb1f3-939d-4835-8e04-7e75ac2a5623\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-7ebbb1f3-939d-4835-8e04-7e75ac2a5623\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-7ebbb1f3-939d-4835-8e04-7e75ac2a5623\"><strong>Does the volume of the pyramid change if the type of pyramid changes?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-7ebbb1f3-939d-4835-8e04-7e75ac2a5623\">\n\n<p class=\"eplus-wrapper\">The volume of the pyramid depends on the base area and the height of the pyramid. As the type of pyramid changes, the base of the pyramid changes, thereby changing the base area of the pyramid. Thus, change in the base area of the pyramid changes the volume of the pyramid.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-7ebbb1f3-939d-4835-8e04-7e75ac2a5623\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-7ebbb1f3-939d-4835-8e04-7e75ac2a5623\"><strong>What is the surface area of a rectangular pyramid?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-7ebbb1f3-939d-4835-8e04-7e75ac2a5623\">\n\n<p class=\"eplus-wrapper\">A rectangular pyramid has two types of surface areas, i.e., the lateral surface area and the total surface area.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">The lateral surface area of a rectangular pyramid is equal to the sum of the areas of its four lateral faces, i.e., triangular faces. In a rectangular pyramid, the areas of the opposite triangular faces are the same.<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The formula for the lateral surface area of the rectangular pyramid is<\/p>\n\n\n\n<p class=\"eplus-wrapper\">LSA $= l\\; \\sqrt{(\\frac{w}{2})^{2} + h^{2}}\\;+w\\;\\sqrt{(\\frac{l}{2})^{2} + h^{2}}$<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Total Surface Area of a Rectangular Pyramid $=$ (Area of base) $+$ ( Area of 4 lateral faces)<br>Here, Area of base $=$ length $\\times$ width&nbsp; $= ( l \\times w )$, as it is a rectangle. Thus, the formula for total surface area of a rectangular pyramid is as follows:<br>TSA $= (lw) + l&nbsp;\\sqrt{ [(\\frac{w}{2})^{2} + h^{2}]} + w\\sqrt{[(\\frac{l}{2})^{2} + h^{2}]}$&nbsp; square units.<\/li>\n<\/ul>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-7ebbb1f3-939d-4835-8e04-7e75ac2a5623\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-7ebbb1f3-939d-4835-8e04-7e75ac2a5623\"><strong>Why is there a term <\/strong>$\\frac{1}{3}$<strong> in the formula for the volume of a pyramid?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-7ebbb1f3-939d-4835-8e04-7e75ac2a5623\">\n\n<p class=\"eplus-wrapper\">A cube of unit length can be divided into three congruent pyramids. Also, it is possible to divide the cuboid into three pyramids of equal volume. It follows that the volume of each pyramid is one-third the volume of the cube\/cuboid. Hence, in general, we have the term <strong>13<\/strong> in the volume of the pyramid.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"411\" height=\"307\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Frequently-Asked-Questions-4.png\" alt=\"Three congruent pyramids meet along a diagonal of a cube\" class=\"wp-image-25720\" title=\"Three congruent pyramids meet along a diagonal of a cube\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Frequently-Asked-Questions-4.png 411w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Frequently-Asked-Questions-4-300x224.png 300w\" sizes=\"auto, (max-width: 411px) 100vw, 411px\" \/><\/figure>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-7ebbb1f3-939d-4835-8e04-7e75ac2a5623\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-7ebbb1f3-939d-4835-8e04-7e75ac2a5623\"><strong>Do all pyramids have the same volume formula?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-7ebbb1f3-939d-4835-8e04-7e75ac2a5623\">\n\n<p class=\"eplus-wrapper\">The volume of a pyramid depends upon its base.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">We know that, volume of a pyramid $=&nbsp;\\frac{1}{3} \\times$ Base Area $\\times$ Height.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">In case of a rectangular pyramid, base area $=$&nbsp; Length $\\times$ Width&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, Volume $= \\frac{1}{3}$ length $\\times$ width $\\times$ height.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">In case of a square pyramid,&nbsp; base area $=$ side&nbsp;$\\times$ side or $side^{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, Volume $= \\frac{1}{3} \\times side^{2}\\; \\times$ height.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Similar formulas can be derived for all the other pyramids.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is the Volume of a Rectangular Pyramid? A rectangular pyramid is a three dimensional object with a rectangle as its base and triangular lateral faces. A rectangular pyramid is crowned at the top at a point known as the apex. Except for the base, all the faces connect at a vertex at the top &#8230; <a title=\"Volume of Rectangular Pyramid: Formula, Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/rectangular-pyramid-volume\" aria-label=\"More on Volume of Rectangular Pyramid: Formula, Examples\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-25708","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/25708","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=25708"}],"version-history":[{"count":10,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/25708\/revisions"}],"predecessor-version":[{"id":40961,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/25708\/revisions\/40961"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=25708"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=25708"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=25708"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}