{"id":23494,"date":"2023-02-03T04:26:58","date_gmt":"2023-02-03T04:26:58","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=23494"},"modified":"2024-02-05T09:07:18","modified_gmt":"2024-02-05T09:07:18","slug":"volume-of-a-pyramid","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-pyramid","title":{"rendered":"Volume of a Pyramid"},"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-64caedbd-9eed-4b25-9af5-7c82ecf2966f\" 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\/volume-of-pyramid#0-volume-of-a-pyramid-introduction>Volume of a Pyramid: Introduction<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-pyramid#2-volume-of-a-pyramid-definition>Volume of a Pyramid: Definition<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-pyramid#3-volume-of-a-pyramid-formula>Volume of a Pyramid Formula<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-pyramid#8-solved-examples>Solved Examples<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-pyramid#9-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-pyramid#10-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-volume-of-a-pyramid-introduction\">Volume of a Pyramid: Introduction<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The volume of a pyramid is the space enclosed between all its faces.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">A pyramid is a three-dimensional structure having a polygon as its base. All the side faces of a pyramid are triangles where one side of each triangle merges with a side of the base. Every corner of this structure is linked to a single point at the top, called apex, which makes it appear as a distinct shape.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"457\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/pyramids.png\" alt=\"Pyramids\" class=\"wp-image-33136\" title=\"Pyramids\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/pyramids.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/pyramids-300x221.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">A pyramid is a polyhedron since its faces are made up of polygons. We have different types of pyramids that are named after their base, such as:<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Triangular pyramid: the base of a pyramid is a triangle<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Square pyramid: the base of a pyramid is a square<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Rectangular pyramid: the base of a pyramid is a rectangle<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Pentagonal pyramid: the base of a pyramid is a pentagon<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Hexagonal pyramid: the base of a pyramid is a hexagon<\/li>\n<\/ul>\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\/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-what-is-the-volume-of-a-pyramid-in-math\">What Is the Volume of a Pyramid in Math?<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The volume of a pyramid means the space enclosed within the pyramid by its faces. Volume is measured in cubic units such as $\\text{ft}^{3}, \\text{cm}^{3}, \\text{m}^{3}, \\text{in}^{3}$, etc.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">If the base area of the pyramid is A and the height is h, then the volume is given by&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Volume of a pyramid $= \\frac{1}{3} \\times A \\times h$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">A rectangular pyramid with dimensions l, w, h is shown below.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"398\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/dimensions-of-a-rectangular-pyramid.png\" alt=\"Dimensions of a rectangular pyramid\" class=\"wp-image-33138\" title=\"Dimensions of a rectangular pyramid\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/dimensions-of-a-rectangular-pyramid.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/dimensions-of-a-rectangular-pyramid-300x193.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Its base is rectangular. So, the base area refers to the area of the rectangle.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Volume of the given rectangular pyramid $= \\frac{1}{3} \\times A \\times h = \\frac{1}{3} \\times \\text{lwh}$<\/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-volume-of-a-pyramid-definition\">Volume of a Pyramid: Definition<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The volume of the pyramid is simply just one-third of the product of the base area and its height. It can also be defined as the number of unit cubes that can be fit into a pyramid.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">To find the volume of a pyramid we need to know the base area and height. The perpendicular distance from the apex to the center of the base of the polygon is known as the height of the pyramid.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-volume-of-a-pyramid-formula\">Volume of a Pyramid Formula<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The volume of the pyramid with the area of the base \u201cA\u201d and the height \u201ch\u201d is given by<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Volume $V= \\frac{1}{3} Ah$&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-volume-formulas-of-different-types-of-pyramids\">Volume Formulas of Different Types of Pyramids<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Let\u2019s see the volume formula for different pyramids.&nbsp;<\/p>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Triangular pyramid<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"622\" height=\"369\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/triangular-pyramid.png\" alt=\"Triangular pyramid\" class=\"wp-image-33139\" title=\"Triangular pyramid\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/triangular-pyramid.png 622w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/triangular-pyramid-300x178.png 300w\" sizes=\"auto, (max-width: 622px) 100vw, 622px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$V = \\frac{1}{3} Ah$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">where, the base is a triangle and the base area is given by<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\text{A} = \\frac{1}{2} \\times base \\times height$<\/p>\n\n\n\n<ol start=\"2\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Square Pyramid<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"370\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/square-pyramid.png\" alt=\"Square pyramid\" class=\"wp-image-33140\" title=\"Square pyramid\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/square-pyramid.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/square-pyramid-300x179.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Let\u2019s learn the formula for the volume of a square pyramid. To find the volume of a pyramid with square base, we use the following formula:&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$V = \\frac{1}{3} Ah$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">where,&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$A = side^{2} = s^{2}$<\/p>\n\n\n\n<ol start=\"3\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Rectangular Pyramid<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"431\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/rectangular-pyramid.png\" alt=\"Rectangular pyramid\" class=\"wp-image-33141\" title=\"Rectangular pyramid\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/rectangular-pyramid.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/rectangular-pyramid-300x209.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$V = \\frac{1}{3} Ah$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Where,&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$A = length \\times width$<\/p>\n\n\n\n<ol start=\"4\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Pentagonal Pyramid<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"348\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/pentagonal-pyramid.png\" alt=\"Pentagonal pyramid\" class=\"wp-image-33142\" title=\"Pentagonal pyramid\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/pentagonal-pyramid.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/pentagonal-pyramid-300x168.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$V = \\frac{1}{3} Ah$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Where,&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$A = base area = \\frac{5}{2} \\times a \\times s$<\/p>\n\n\n\n<ol start=\"5\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Hexagonal Pyramid<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"418\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/hexagonal-pyramid.png\" alt=\"Hexagonal pyramid\" class=\"wp-image-33143\" title=\"Hexagonal pyramid\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/hexagonal-pyramid.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/hexagonal-pyramid-300x202.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$V = \\frac{1}{3} Ah$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">where, $A= \\frac{3\\sqrt{3s2}}{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">OR<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$V = a \\times s \\times h$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">where,&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">a $=$ apothem length<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">s $=$ length of a side of the base<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">h $=$ height of the prism.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-how-to-find-the-volume-of-a-pyramid\">How to Find the Volume of a Pyramid<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 1:<\/strong> Find the area of the base A. If the base is a rectangle, then we find the area as $(\\text{length} \\times \\text{width})$. If it is a square, then we find the area by the formula $(\\text{side}^{2})$.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 2:<\/strong> Note down the height h, the distance from the center of the base to the apex.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 3: <\/strong>Now we put the values in the formula. The formula shall be discussed later in the article.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example: Consider a square pyramid with given dimensions.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"405\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/how-to-find-volume-of-a-pyramid.webp\" alt=\"How to find volume of a pyramid\" class=\"wp-image-33144\" title=\"How to find volume of a pyramid\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/how-to-find-volume-of-a-pyramid.webp 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/how-to-find-volume-of-a-pyramid-300x196.webp 300w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Since the base is a square, we have&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Base area $= side^{2} = 5^{2} = 25$ sq. ft.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Height $= h = 3$ ft<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Volume $= V = \\frac{1}{3} Ah = \\frac{1}{3} \\times 25 \\times 3 = \\frac{75}{3} = 25$ cubic ft.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-fun-facts\">Fun Facts!<\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Pyramids are the 3D shapes that hold significance in Egyptian history.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"492\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/egyptian-pyramid.png\" alt=\"Egyptian pyramid\" class=\"wp-image-33145\" title=\"Egyptian pyramid\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/egyptian-pyramid.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/egyptian-pyramid-300x238.png 300w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">The triangle formed by the height $(h)$, half the side $(\\frac{s}{2})$ and the slant height (l) is the right triangle.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"489\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/pyramid-fact.png\" alt=\"Pyramid fact\" class=\"wp-image-33146\" title=\"Pyramid fact\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/pyramid-fact.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/pyramid-fact-300x236.png 300w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">In this article, we learned about the volume of a pyramid, and formulas for different types of pyramids. Let\u2019s solve some examples and practice problems for better understanding.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-solved-examples\">Solved Examples<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>1. A square pyramid has a base dimension $<\/strong>20 \\text{ft} \\times 20 \\text{ft}$<strong> and its height is around 30 ft. Calculate its volume.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The given pyramid is a square pyramid. Its base area is:<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\text{A} = 20 \\times 20 = 400$ square feet<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The height of the pyramid is, $h = 30$ ft<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Using the volume of pyramid formula,<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$V = \\frac{1}{3} \\times 400 \\times 30$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$V = 4000$ cubic feet<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The volume of the given square pyramid is 4000 cubic feet.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>2. A triangular pyramid has a base area of 200 sq. ft and height 6 ft. Find its volume.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Base area $= \\text{A} = 200$ sq. ft<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Height $= \\text{h} = 6$ ft<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Volume of given triangular pyramid $= \\frac{1}{3} \\times 200 \\times 6$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">&nbsp; &nbsp; $\\text{V} = 400$ cubic feet<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>3. Kelly built a tent that is of the shape of a rectangular pyramid. The base of the tent is a rectangle with dimensions 7 units <\/strong>$\\times$<strong> 10 units and the height is 9 units. What is the volume of the tent?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The base area of the tent is the area of the rectangle.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Area of the base $=$ area of rectangle $= 7 \\times 10 = 70$ square units.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The height of the tent is $\\text{h} = 9$ units<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The volume of the tent using the volume of pyramid formula is,<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$V = \\frac{1}{3} Ah$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$V = \\frac{1}{3} \\times 70 \\times 9$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$V = 210$ cubic units<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The volume of the tent $= 210$ cubic units<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>4. A pyramid has a square base with side 8 ft and a height of 12 ft. Find its volume.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The given pyramid is a square pyramid. Its base area is,<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$A = 8 \\times 8 = 64$ square feet.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The height of the pyramid is, $\\text{h} = 12$ ft<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Using the volume of pyramid formula,<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Volume of pyramid,&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$V = \\frac{1}{3} Ah$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$V = \\frac{1}{3} \\times&nbsp; 64 \\times 12$ cubic ft<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$V = 256$ cubic feet.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The volume of the given pyramid is 256 cubic feet.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>5. For the triangular pyramid, the area of the base is <\/strong>$49 \\text{cm}^{2}$<strong>. Find its volume if the height of the pyramid is 6 cm.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Given the area of the base of pyramid $= 49 \\text{cm}^{3}$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Volume of Pyramid,<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$V = \\frac{1}{3} Ah$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$V = \\frac{1}{3} \\times 49 \\times 6$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$V = 98$ $cm^{3}$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The volume of the given pyramid is $98$ $cm^{3}$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"9-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Volume of a Pyramid<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">A pyramid has a base measuring about $4 \\text{ft} \\times 4 \\text{ft}$ and its height is around 9 ft. What is its volume?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">20 cubic feet<\/div><div class=\"spq_answer_block\" data-value=\"1\">16 cubic feet<\/div><div class=\"spq_answer_block\" data-value=\"2\">48 cubic feet<\/div><div class=\"spq_answer_block\" data-value=\"3\">144 cubic feet<\/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: 48 cubic feet<br\/>The given Pyramid is a square pyramid. Its base area is,<br>\r\n$A = 4 \\times 4= 16$ square feet.<br>\r\nThe height of the pyramid is, $h = 9$ ft<br>\r\nUsing the volume of pyramid formula,<br>\r\nVolume of pyramid,<br>\r\n$V = \\frac{1}{3} Ah$<br>\r\n$V = \\frac{1}{3} \\times 16 \\times 9$<br>\r\n$V = 48$ cubic feet.<br>\r\nAnswer: The volume of the given pyramid is 20702500 cubic feet.\r\nOption a) is correct.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">The volume of a rectangular pyramid is given by<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$V = \\frac{1}{3} lwh$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$V = \\frac{1}{3} (side^{2}) h$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$V = \\frac{1}{3}(side)^{3}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$V = \\frac{1}{3}s^{3} h$<\/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: $V = \\frac{1}{3} lwh$<br\/>$V = \\frac{1}{3} Ah$<br> \r\nWhere<br>\r\n$\\text{A} =$ Base area $= lw$<br>\r\nThus,  $V = \\frac{1}{3} lwh$<\/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 base of a pyramid is a rectangle of $5$ units $\\times 15$ units and the height is $7$ units. What is the volume of the tent?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">155 cubic units<\/div><div class=\"spq_answer_block\" data-value=\"1\">185 cubic units<\/div><div class=\"spq_answer_block\" data-value=\"2\">175 cubic units<\/div><div class=\"spq_answer_block\" data-value=\"3\">165 cubic units<\/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: 175 cubic units<br\/>The base area  of the tent is, $\\text{A} = 5 \\times 15 = 75$ square units.<br>\r\nThe height of the tent is $h = 7$ units.<br>\r\nThe volume of the tent using the volume of pyramid formula is,<br>\r\n$V = \\frac{1}{3} Ah$ <br>\r\n$V = \\frac{1}{3} \\times 75 \\times 7$<br>\r\n$V = 175$  cubic units.<br>\r\nThe volume of the tent $= 175$ cubic units.<br>\r\nOption c) is correct.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">A pyramid has a square base of 16 ft and a height of 16 ft. What is its volume?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">500 cubic feet<\/div><div class=\"spq_answer_block\" data-value=\"1\">300 cubic feet<\/div><div class=\"spq_answer_block\" data-value=\"2\">400 cubic feet<\/div><div class=\"spq_answer_block\" data-value=\"3\">250 cubic feet<\/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: 500 cubic feet<br\/>The given Pyramid is a square pyramid. Its base area is,<br>\r\n$\\text{A} = 10 \\times 10 = 100$ square feet.<br>\r\nThe height of the pyramid is, $h = 15$ ft<br>\r\nUsing the volume of pyramid formula,<br>\r\nVolume of pyramid,<br>\r\n$V = \\frac{1}{3} Ah$<br>\r\n$V = \\frac{1}{3} \\times 100 \\times 15$<br>\r\n$V = 500$ cubic feet<br>\r\nThe volume of the given pyramid is 500 cubic feet.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">For the triangular pyramid, the area of the base is 144 cubic cm. What is its volume if the height of the pyramid is 12 cm?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">276 cubic cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">376 cubic cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">476 cubic cm<\/div><div class=\"spq_answer_block\" data-value=\"3\">576 cubic cm<\/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: 576 cubic cm<br\/>Given the area of the base of the pyramid $= 144$ cu. cm<br>\r\nVolume of pyramid,<br>\r\n$V = \\frac{1}{3} Ah$ <br>\r\n$V = \\frac{1}{3} \\times 144 \\times 12$<br>\r\n$V = 1728 \\times \\frac{1}{3}$<br>\r\n$V = 576$ $Cu$. $Cm$.<\/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 a Pyramid\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Volume of a Pyramid\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"A pyramid has a base measuring about $$4 \\\\text{ft} \\\\times 4 \\\\text{ft}$$ and its height is around 9 ft. What is its volume?\",\n                    \"text\": \"A pyramid has a base measuring about $$4 \\\\text{ft} \\\\times 4 \\\\text{ft}$$ and its height is around 9 ft. What is its volume?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The given Pyramid is a square pyramid. Its base area is,<br>\r\n$$A = 4 \\\\times 4= 16$$ square feet.<br>\r\nThe height of the pyramid is, $$h = 9$$ ft<br>\r\nUsing the volume of pyramid formula,<br>\r\nVolume of pyramid,<br>\r\n$$V = \\\\frac{1}{3} Ah$$<br>\r\n$$V = \\\\frac{1}{3} \\\\times 16 \\\\times 9$$<br>\r\n$$V = 48$$ cubic feet.<br>\r\nAnswer: The volume of the given pyramid is 20702500 cubic feet.\r\nOption a) is correct.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"20 cubic feet\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The given Pyramid is a square pyramid. Its base area is,<br>\r\n$$A = 4 \\\\times 4= 16$$ square feet.<br>\r\nThe height of the pyramid is, $$h = 9$$ ft<br>\r\nUsing the volume of pyramid formula,<br>\r\nVolume of pyramid,<br>\r\n$$V = \\\\frac{1}{3} Ah$$<br>\r\n$$V = \\\\frac{1}{3} \\\\times 16 \\\\times 9$$<br>\r\n$$V = 48$$ cubic feet.<br>\r\nAnswer: The volume of the given pyramid is 20702500 cubic feet.\r\nOption a) is correct.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"16 cubic feet\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The given Pyramid is a square pyramid. Its base area is,<br>\r\n$$A = 4 \\\\times 4= 16$$ square feet.<br>\r\nThe height of the pyramid is, $$h = 9$$ ft<br>\r\nUsing the volume of pyramid formula,<br>\r\nVolume of pyramid,<br>\r\n$$V = \\\\frac{1}{3} Ah$$<br>\r\n$$V = \\\\frac{1}{3} \\\\times 16 \\\\times 9$$<br>\r\n$$V = 48$$ cubic feet.<br>\r\nAnswer: The volume of the given pyramid is 20702500 cubic feet.\r\nOption a) is correct.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"144 cubic feet\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The given Pyramid is a square pyramid. Its base area is,<br>\r\n$$A = 4 \\\\times 4= 16$$ square feet.<br>\r\nThe height of the pyramid is, $$h = 9$$ ft<br>\r\nUsing the volume of pyramid formula,<br>\r\nVolume of pyramid,<br>\r\n$$V = \\\\frac{1}{3} Ah$$<br>\r\n$$V = \\\\frac{1}{3} \\\\times 16 \\\\times 9$$<br>\r\n$$V = 48$$ cubic feet.<br>\r\nAnswer: The volume of the given pyramid is 20702500 cubic feet.\r\nOption a) is correct.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"48 cubic feet\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The given Pyramid is a square pyramid. Its base area is,<br>\r\n$$A = 4 \\\\times 4= 16$$ square feet.<br>\r\nThe height of the pyramid is, $$h = 9$$ ft<br>\r\nUsing the volume of pyramid formula,<br>\r\nVolume of pyramid,<br>\r\n$$V = \\\\frac{1}{3} Ah$$<br>\r\n$$V = \\\\frac{1}{3} \\\\times 16 \\\\times 9$$<br>\r\n$$V = 48$$ cubic feet.<br>\r\nAnswer: The volume of the given pyramid is 20702500 cubic feet.\r\nOption a) is correct.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The given Pyramid is a square pyramid. Its base area is,<br>\r\n$$A = 4 \\\\times 4= 16$$ square feet.<br>\r\nThe height of the pyramid is, $$h = 9$$ ft<br>\r\nUsing the volume of pyramid formula,<br>\r\nVolume of pyramid,<br>\r\n$$V = \\\\frac{1}{3} Ah$$<br>\r\n$$V = \\\\frac{1}{3} \\\\times 16 \\\\times 9$$<br>\r\n$$V = 48$$ cubic feet.<br>\r\nAnswer: The volume of the given pyramid is 20702500 cubic feet.\r\nOption a) is correct.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The volume of a rectangular pyramid is given by\",\n                    \"text\": \"The volume of a rectangular pyramid is given by\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$V = \\\\frac{1}{3} Ah$$<br> \r\nWhere<br>\r\n$$\\\\text{A} =$$ Base area $$= lw$$<br>\r\nThus,  $$V = \\\\frac{1}{3} lwh$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$V = \\\\frac{1}{3} (side^{2}) h$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$V = \\\\frac{1}{3} Ah$$<br> \r\nWhere<br>\r\n$$\\\\text{A} =$$ Base area $$= lw$$<br>\r\nThus,  $$V = \\\\frac{1}{3} lwh$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$V = \\\\frac{1}{3}(side)^{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$V = \\\\frac{1}{3} Ah$$<br> \r\nWhere<br>\r\n$$\\\\text{A} =$$ Base area $$= lw$$<br>\r\nThus,  $$V = \\\\frac{1}{3} lwh$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$V = \\\\frac{1}{3}s^{3} h$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$V = \\\\frac{1}{3} Ah$$<br> \r\nWhere<br>\r\n$$\\\\text{A} =$$ Base area $$= lw$$<br>\r\nThus,  $$V = \\\\frac{1}{3} lwh$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$V = \\\\frac{1}{3} lwh$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$V = \\\\frac{1}{3} Ah$$<br> \r\nWhere<br>\r\n$$\\\\text{A} =$$ Base area $$= lw$$<br>\r\nThus,  $$V = \\\\frac{1}{3} lwh$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$V = \\\\frac{1}{3} Ah$$<br> \r\nWhere<br>\r\n$$\\\\text{A} =$$ Base area $$= lw$$<br>\r\nThus,  $$V = \\\\frac{1}{3} lwh$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The base of a pyramid is a rectangle of $$5$$ units $$\\\\times 15$$ units and the height is $$7$$ units. What is the volume of the tent?\",\n                    \"text\": \"The base of a pyramid is a rectangle of $$5$$ units $$\\\\times 15$$ units and the height is $$7$$ units. What is the volume of the tent?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The base area  of the tent is, $$\\\\text{A} = 5 \\\\times 15 = 75$$ square units.<br>\r\nThe height of the tent is $$h = 7$$ units.<br>\r\nThe volume of the tent using the volume of pyramid formula is,<br>\r\n$$V = \\\\frac{1}{3} Ah$$ <br>\r\n$$V = \\\\frac{1}{3} \\\\times 75 \\\\times 7$$<br>\r\n$$V = 175$$  cubic units.<br>\r\nThe volume of the tent $$= 175$$ cubic units.<br>\r\nOption c) is correct.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"155 cubic units\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The base area  of the tent is, $$\\\\text{A} = 5 \\\\times 15 = 75$$ square units.<br>\r\nThe height of the tent is $$h = 7$$ units.<br>\r\nThe volume of the tent using the volume of pyramid formula is,<br>\r\n$$V = \\\\frac{1}{3} Ah$$ <br>\r\n$$V = \\\\frac{1}{3} \\\\times 75 \\\\times 7$$<br>\r\n$$V = 175$$  cubic units.<br>\r\nThe volume of the tent $$= 175$$ cubic units.<br>\r\nOption c) is correct.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"185 cubic units\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The base area  of the tent is, $$\\\\text{A} = 5 \\\\times 15 = 75$$ square units.<br>\r\nThe height of the tent is $$h = 7$$ units.<br>\r\nThe volume of the tent using the volume of pyramid formula is,<br>\r\n$$V = \\\\frac{1}{3} Ah$$ <br>\r\n$$V = \\\\frac{1}{3} \\\\times 75 \\\\times 7$$<br>\r\n$$V = 175$$  cubic units.<br>\r\nThe volume of the tent $$= 175$$ cubic units.<br>\r\nOption c) is correct.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"165 cubic units\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The base area  of the tent is, $$\\\\text{A} = 5 \\\\times 15 = 75$$ square units.<br>\r\nThe height of the tent is $$h = 7$$ units.<br>\r\nThe volume of the tent using the volume of pyramid formula is,<br>\r\n$$V = \\\\frac{1}{3} Ah$$ <br>\r\n$$V = \\\\frac{1}{3} \\\\times 75 \\\\times 7$$<br>\r\n$$V = 175$$  cubic units.<br>\r\nThe volume of the tent $$= 175$$ cubic units.<br>\r\nOption c) is correct.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"175 cubic units\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The base area  of the tent is, $$\\\\text{A} = 5 \\\\times 15 = 75$$ square units.<br>\r\nThe height of the tent is $$h = 7$$ units.<br>\r\nThe volume of the tent using the volume of pyramid formula is,<br>\r\n$$V = \\\\frac{1}{3} Ah$$ <br>\r\n$$V = \\\\frac{1}{3} \\\\times 75 \\\\times 7$$<br>\r\n$$V = 175$$  cubic units.<br>\r\nThe volume of the tent $$= 175$$ cubic units.<br>\r\nOption c) is correct.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The base area  of the tent is, $$\\\\text{A} = 5 \\\\times 15 = 75$$ square units.<br>\r\nThe height of the tent is $$h = 7$$ units.<br>\r\nThe volume of the tent using the volume of pyramid formula is,<br>\r\n$$V = \\\\frac{1}{3} Ah$$ <br>\r\n$$V = \\\\frac{1}{3} \\\\times 75 \\\\times 7$$<br>\r\n$$V = 175$$  cubic units.<br>\r\nThe volume of the tent $$= 175$$ cubic units.<br>\r\nOption c) is correct.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"A pyramid has a square base of 16 ft and a height of 16 ft. What is its volume?\",\n                    \"text\": \"A pyramid has a square base of 16 ft and a height of 16 ft. What is its volume?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The given Pyramid is a square pyramid. Its base area is,<br>\r\n$$\\\\text{A} = 10 \\\\times 10 = 100$$ square feet.<br>\r\nThe height of the pyramid is, $$h = 15$$ ft<br>\r\nUsing the volume of pyramid formula,<br>\r\nVolume of pyramid,<br>\r\n$$V = \\\\frac{1}{3} Ah$$<br>\r\n$$V = \\\\frac{1}{3} \\\\times 100 \\\\times 15$$<br>\r\n$$V = 500$$ cubic feet<br>\r\nThe volume of the given pyramid is 500 cubic feet.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"300 cubic feet\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The given Pyramid is a square pyramid. Its base area is,<br>\r\n$$\\\\text{A} = 10 \\\\times 10 = 100$$ square feet.<br>\r\nThe height of the pyramid is, $$h = 15$$ ft<br>\r\nUsing the volume of pyramid formula,<br>\r\nVolume of pyramid,<br>\r\n$$V = \\\\frac{1}{3} Ah$$<br>\r\n$$V = \\\\frac{1}{3} \\\\times 100 \\\\times 15$$<br>\r\n$$V = 500$$ cubic feet<br>\r\nThe volume of the given pyramid is 500 cubic feet.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"400 cubic feet\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The given Pyramid is a square pyramid. Its base area is,<br>\r\n$$\\\\text{A} = 10 \\\\times 10 = 100$$ square feet.<br>\r\nThe height of the pyramid is, $$h = 15$$ ft<br>\r\nUsing the volume of pyramid formula,<br>\r\nVolume of pyramid,<br>\r\n$$V = \\\\frac{1}{3} Ah$$<br>\r\n$$V = \\\\frac{1}{3} \\\\times 100 \\\\times 15$$<br>\r\n$$V = 500$$ cubic feet<br>\r\nThe volume of the given pyramid is 500 cubic feet.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"250 cubic feet\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The given Pyramid is a square pyramid. Its base area is,<br>\r\n$$\\\\text{A} = 10 \\\\times 10 = 100$$ square feet.<br>\r\nThe height of the pyramid is, $$h = 15$$ ft<br>\r\nUsing the volume of pyramid formula,<br>\r\nVolume of pyramid,<br>\r\n$$V = \\\\frac{1}{3} Ah$$<br>\r\n$$V = \\\\frac{1}{3} \\\\times 100 \\\\times 15$$<br>\r\n$$V = 500$$ cubic feet<br>\r\nThe volume of the given pyramid is 500 cubic feet.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"500 cubic feet\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The given Pyramid is a square pyramid. Its base area is,<br>\r\n$$\\\\text{A} = 10 \\\\times 10 = 100$$ square feet.<br>\r\nThe height of the pyramid is, $$h = 15$$ ft<br>\r\nUsing the volume of pyramid formula,<br>\r\nVolume of pyramid,<br>\r\n$$V = \\\\frac{1}{3} Ah$$<br>\r\n$$V = \\\\frac{1}{3} \\\\times 100 \\\\times 15$$<br>\r\n$$V = 500$$ cubic feet<br>\r\nThe volume of the given pyramid is 500 cubic feet.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The given Pyramid is a square pyramid. Its base area is,<br>\r\n$$\\\\text{A} = 10 \\\\times 10 = 100$$ square feet.<br>\r\nThe height of the pyramid is, $$h = 15$$ ft<br>\r\nUsing the volume of pyramid formula,<br>\r\nVolume of pyramid,<br>\r\n$$V = \\\\frac{1}{3} Ah$$<br>\r\n$$V = \\\\frac{1}{3} \\\\times 100 \\\\times 15$$<br>\r\n$$V = 500$$ cubic feet<br>\r\nThe volume of the given pyramid is 500 cubic feet.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"For the triangular pyramid, the area of the base is 144 cubic cm. What is its volume if the height of the pyramid is 12 cm?\",\n                    \"text\": \"For the triangular pyramid, the area of the base is 144 cubic cm. What is its volume if the height of the pyramid is 12 cm?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Given the area of the base of the pyramid $$= 144$$ cu. cm<br>\r\nVolume of pyramid,<br>\r\n$$V = \\\\frac{1}{3} Ah$$ <br>\r\n$$V = \\\\frac{1}{3} \\\\times 144 \\\\times 12$$<br>\r\n$$V = 1728 \\\\times \\\\frac{1}{3}$$<br>\r\n$$V = 576$$ $$Cu$$. $$Cm$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"276 cubic cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Given the area of the base of the pyramid $$= 144$$ cu. cm<br>\r\nVolume of pyramid,<br>\r\n$$V = \\\\frac{1}{3} Ah$$ <br>\r\n$$V = \\\\frac{1}{3} \\\\times 144 \\\\times 12$$<br>\r\n$$V = 1728 \\\\times \\\\frac{1}{3}$$<br>\r\n$$V = 576$$ $$Cu$$. $$Cm$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"376 cubic cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Given the area of the base of the pyramid $$= 144$$ cu. cm<br>\r\nVolume of pyramid,<br>\r\n$$V = \\\\frac{1}{3} Ah$$ <br>\r\n$$V = \\\\frac{1}{3} \\\\times 144 \\\\times 12$$<br>\r\n$$V = 1728 \\\\times \\\\frac{1}{3}$$<br>\r\n$$V = 576$$ $$Cu$$. $$Cm$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"476 cubic cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Given the area of the base of the pyramid $$= 144$$ cu. cm<br>\r\nVolume of pyramid,<br>\r\n$$V = \\\\frac{1}{3} Ah$$ <br>\r\n$$V = \\\\frac{1}{3} \\\\times 144 \\\\times 12$$<br>\r\n$$V = 1728 \\\\times \\\\frac{1}{3}$$<br>\r\n$$V = 576$$ $$Cu$$. $$Cm$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"576 cubic cm\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Given the area of the base of the pyramid $$= 144$$ cu. cm<br>\r\nVolume of pyramid,<br>\r\n$$V = \\\\frac{1}{3} Ah$$ <br>\r\n$$V = \\\\frac{1}{3} \\\\times 144 \\\\times 12$$<br>\r\n$$V = 1728 \\\\times \\\\frac{1}{3}$$<br>\r\n$$V = 576$$ $$Cu$$. $$Cm$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Given the area of the base of the pyramid $$= 144$$ cu. cm<br>\r\nVolume of pyramid,<br>\r\n$$V = \\\\frac{1}{3} Ah$$ <br>\r\n$$V = \\\\frac{1}{3} \\\\times 144 \\\\times 12$$<br>\r\n$$V = 1728 \\\\times \\\\frac{1}{3}$$<br>\r\n$$V = 576$$ $$Cu$$. $$Cm$$.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"10-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-9760f147-0844-4a56-acf6-f5db877af3a6\" 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-0-9760f147-0844-4a56-acf6-f5db877af3a6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-9760f147-0844-4a56-acf6-f5db877af3a6\"><strong>What is a cuboid?<\/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-0-9760f147-0844-4a56-acf6-f5db877af3a6\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">A cuboid is a three-dimensional figure or solid which has six rectangular sides called faces.<\/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-1-9760f147-0844-4a56-acf6-f5db877af3a6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-9760f147-0844-4a56-acf6-f5db877af3a6\"><strong>What is a prism?<\/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-1-9760f147-0844-4a56-acf6-f5db877af3a6\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">A prism is a solid object with ends that are parallel and of the same size and shape, and with sides whose opposite edges are equal and parallel.<\/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-2-9760f147-0844-4a56-acf6-f5db877af3a6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-9760f147-0844-4a56-acf6-f5db877af3a6\"><strong>What is the volume of a prism?<\/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-2-9760f147-0844-4a56-acf6-f5db877af3a6\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The volume of a prism is given by \u201c$\\text{length} \\times \\text{width} \\times \\text{height}$.\u201d<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>Volume of a Pyramid: Introduction The volume of a pyramid is the space enclosed between all its faces. A pyramid is a three-dimensional structure having a polygon as its base. All the side faces of a pyramid are triangles where one side of each triangle merges with a side of the base. Every corner of &#8230; <a title=\"Volume of a Pyramid\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-pyramid\" aria-label=\"More on Volume of a Pyramid\">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-23494","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\/23494","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=23494"}],"version-history":[{"count":11,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/23494\/revisions"}],"predecessor-version":[{"id":39887,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/23494\/revisions\/39887"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=23494"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=23494"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=23494"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}