{"id":30332,"date":"2023-06-09T11:41:01","date_gmt":"2023-06-09T11:41:01","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=30332"},"modified":"2023-11-15T15:50:18","modified_gmt":"2023-11-15T15:50:18","slug":"rectangular-pyramid-definition-formula-properties-examples-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/rectangular-pyramid","title":{"rendered":"Rectangular Pyramid: Definition, Formula, Properties, Examples, FAQs"},"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-c24d0d10-a006-436f-97e2-ebd92463f60e\" 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#0-what-is-a-rectangular-pyramid>What Is a Rectangular Pyramid?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/rectangular-pyramid#4-rectangular-pyramid-types>Rectangular Pyramid Types<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/rectangular-pyramid#6-surface-area-of-a-rectangular-pyramid>Surface Area of a Rectangular Pyramid<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/rectangular-pyramid#10-solved-examples-on-rectangular-pyramid>Solved Examples on Rectangular Pyramid<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/rectangular-pyramid#11-practice-problems-on-rectangular-pyramid>Practice Problems on Rectangular Pyramid<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/rectangular-pyramid#12-frequently-asked-questions-about-rectangular-pyramids>Frequently Asked Questions about Rectangular Pyramids<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-a-rectangular-pyramid\">What Is a Rectangular Pyramid?<\/h2>\n\n\n\n<p><strong>A <\/strong><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/pyramid\" target=\"_blank\" rel=\"noopener\" title=\"\"><strong>pyramid<\/strong><\/a><strong> whose base is in the shape of a rectangle and sides in the shape of a triangle is called a rectangular pyramid.<\/strong>&nbsp;<\/p>\n\n\n\n<p>When we think of pyramids, we think of the Great Pyramids of Egypt, don\u2019t we? Every time we view different pyramids, we can observe how each of its sides are triangular, but the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/base\" target=\"_blank\" rel=\"noopener\" title=\"\">base<\/a> is different.&nbsp;<\/p>\n\n\n\n<p>So, what does a rectangular pyramid look like? Take a look at the image given below. If the base of a pyramid is a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/rectangle\" target=\"_blank\" rel=\"noopener\" title=\"\">rectangle<\/a>, it is a rectangular pyramid.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"433\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/comparing-an-Egyptian-pyramid-to-a-rectangular-pyramid.png\" alt=\"Comparing an Egyptian pyramid to a rectangular pyramid.\" class=\"wp-image-35742\" title=\"Comparing an Egyptian pyramid to a rectangular pyramid.\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/comparing-an-Egyptian-pyramid-to-a-rectangular-pyramid.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/comparing-an-Egyptian-pyramid-to-a-rectangular-pyramid-300x210.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\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><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\" id=\"1-rectangular-pyramid-definition\">Rectangular Pyramid: Definition<\/h2>\n\n\n\n<p>A rectangular pyramid is a three dimensional solid with its base in the shape of a rectangle and <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/side\" target=\"_blank\" rel=\"noopener\" title=\"\">sides<\/a> in the shape of a triangle.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"393\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/features-of-a-rectangular-pyramid.png\" alt=\"Features of a rectangular pyramid\" class=\"wp-image-35744\" title=\"Features of a rectangular pyramid\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/features-of-a-rectangular-pyramid.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/features-of-a-rectangular-pyramid-300x190.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>The <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/lateral-face\" target=\"_blank\" rel=\"noopener\" title=\"\">lateral faces<\/a> are triangular in shape. 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<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\" id=\"2-properties-of-a-rectangular-pyramid-faces-edges-vertices\">Properties of a Rectangular Pyramid: Faces, Edges, Vertices<\/h2>\n\n\n\n<p>Let&#8217;s briefly discuss the following three features of a rectangular pyramid.<\/p>\n\n\n\n<p><strong>Faces<\/strong><\/p>\n\n\n\n<p>The flat surfaces that are created at the edges of a rectangular pyramid are its faces.<\/p>\n\n\n\n<p>The lateral faces of a rectangular pyramid are triangular.&nbsp;<\/p>\n\n\n\n<p>The base is rectangular.<\/p>\n\n\n\n<p>So, how many faces does a rectangular pyramid have? Let&#8217;s find out.<\/p>\n\n\n\n<p>Number of lateral triangular faces $= 4$<\/p>\n\n\n\n<p>Number of bases $= 1$<\/p>\n\n\n\n<p>Total number of faces $= 5$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"285\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/faces-of-a-rectangular-pyramid.png\" alt=\"Faces of a rectangular pyramid\" class=\"wp-image-35745\" title=\"Faces of a rectangular pyramid\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/faces-of-a-rectangular-pyramid.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/faces-of-a-rectangular-pyramid-300x138.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>Note that not every triangular face is of the same shape because the base is a rectangle. The opposite faces do, however, have the same shape since the opposite sides of a rectangle are equal in length.<\/p>\n\n\n\n<p><strong>Vertices<\/strong><\/p>\n\n\n\n<p>A vertex is a point where two or more edges meet. A rectangular pyramid has 5 vertices. 4 vertices are located at the corner of base and the top vertex is formed by the intersection of the four edges.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"315\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/vertices-of-a-rectangular-pyramid.png\" alt=\"Vertices of a rectangular pyramid\" class=\"wp-image-35746\" title=\"Vertices of a rectangular pyramid\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/vertices-of-a-rectangular-pyramid.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/vertices-of-a-rectangular-pyramid-300x152.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p><strong>Edges<\/strong><\/p>\n\n\n\n<p>The line segments created by connecting two vertices are referred to as edges. A rectangular pyramid has 8 edges. Of these, 4 edges are the sides of the rectangle located at the base while the other 4 form the sides of the triangles.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"350\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/edges-of-a-rectangular-pyramid.png\" alt=\"Edges of a rectangular pyramid\" class=\"wp-image-35747\" title=\"Edges of a rectangular pyramid\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/edges-of-a-rectangular-pyramid.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/edges-of-a-rectangular-pyramid-300x169.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-net-of-a-rectangular-pyramid\">Net of a Rectangular Pyramid<\/h2>\n\n\n\n<p>The net of a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/3-dimensional\" target=\"_blank\" rel=\"noopener\" title=\"\">3D shape<\/a> is <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/2-dimensional\" target=\"_blank\" rel=\"noopener\" title=\"\">2D shape<\/a> formed when it is opened out flat. A net can be folded up to make a 3D shape. The net of a rectangular pyramid has four triangles and one rectangle. The image given below shows the net of the rectangular pyramid.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"395\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/net-of-a-rectangular-pyramid.png\" alt=\"Net of a rectangular pyramid\" class=\"wp-image-35748\" title=\"Net of a rectangular pyramid\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/net-of-a-rectangular-pyramid.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/net-of-a-rectangular-pyramid-300x191.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-rectangular-pyramid-types\">Rectangular Pyramid Types<\/h2>\n\n\n\n<p>Depending on the shape of the rectangular pyramid, it is classified into two types. They are as follows:<\/p>\n\n\n\n<p><strong>Right Rectangular Pyramid<\/strong><\/p>\n\n\n\n<p>In the right rectangular pyramid, the apex is directly above the center of the base. It forms a perpendicular to the base, indicating the height of the pyramid.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"440\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/right-rectangular-pyramid.png\" alt=\"Right rectangular pyramid\" class=\"wp-image-35749\" title=\"Right rectangular pyramid\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/right-rectangular-pyramid.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/right-rectangular-pyramid-300x213.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p><strong>Oblique Rectangular Pyramid<\/strong><\/p>\n\n\n\n<p>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 oblique.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"404\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/oblique-rectangular-pyramid.png\" alt=\"Oblique rectangular pyramid\" class=\"wp-image-35750\" title=\"Oblique rectangular pyramid\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/oblique-rectangular-pyramid.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/oblique-rectangular-pyramid-300x195.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-volume-of-rectangular-pyramid\">Volume of Rectangular Pyramid<\/h2>\n\n\n\n<p>The volume of a 3D figure refers to the space occupied by it. It is measured in cubic units. The formula for the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/rectangular-pyramid-volume\" target=\"_blank\" rel=\"noopener\" title=\"\">volume of the rectangular pyramid<\/a> is as follows:<\/p>\n\n\n\n<p><strong>Volume <\/strong>$= \\frac{1}{3}\\times$<strong> Base Area <\/strong>$\\times$ <strong>Height<\/strong><\/p>\n\n\n\n<p>Here,<\/p>\n\n\n\n<p>Base area of the rectangular pyramid $=$ Length$\\times$Width&nbsp;<\/p>\n\n\n\n<p>Height is the perpendicular height of the pyramid.<\/p>\n\n\n\n<p><strong>Volume <\/strong>$= \\frac{1}{3}\\times$<strong> length<\/strong>$\\times$<strong>width<\/strong>$\\times$<strong>height<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"513\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/volume-of-a-rectangular-pyramid.png\" alt=\"Volume of a rectangular pyramid\" class=\"wp-image-35751\" title=\"Volume of a rectangular pyramid\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/volume-of-a-rectangular-pyramid.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/volume-of-a-rectangular-pyramid-300x248.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-surface-area-of-a-rectangular-pyramid\">Surface Area of a Rectangular Pyramid<\/h2>\n\n\n\n<p>A rectangular pyramid has two types of surface areas: the lateral surface area and the total surface area.<\/p>\n\n\n\n<p><strong>Lateral Surface Area<\/strong><\/p>\n\n\n\n<p>The lateral surface area of a rectangular pyramid is equal to the sum of the areas of its four lateral faces. In a rectangular pyramid, the areas of the opposite triangular faces are the same.<\/p>\n\n\n\n<p><strong>Area of front and back triangles&nbsp;<\/strong><\/p>\n\n\n\n<p>Area of a triangle $= \\frac{1}{2} \\;base \\times height = \\frac{1}{2} b \\times h$<\/p>\n\n\n\n<p>Area of front triangle $= \\frac{1}{2} l&nbsp;\\sqrt{(\\frac{w}{2})^{2} + h^{2}}$<\/p>\n\n\n\n<p>Area of front triangle $+$ Area of back triangle $=&nbsp; l&nbsp;\\sqrt{(\\frac{w}{2})^{2} + h^{2}}$<\/p>\n\n\n\n<p><strong>Area of side triangles<\/strong><\/p>\n\n\n\n<p>The side triangles&#8217; area can be found in a way very similar to that of the front and back triangles, except for that their slant height is $\\sqrt{(\\frac{l}{2})^{2} + h^{2}}$.<\/p>\n\n\n\n<p>Area of one of the triangles $= \\frac{1}{2}w \\sqrt{(\\frac{l}{2})^{2} + h^{2}}$<\/p>\n\n\n\n<p>Area of two side triangles $= w \\sqrt{(\\frac{l}{2})^{2} + h^{2}}$<\/p>\n\n\n\n<p>Thus, the lateral surface area of the rectangular pyramid is&nbsp;<\/p>\n\n\n\n<p>LSA $= l \\sqrt{(\\frac{w}{2})^{2} + h^{2}} + w\\sqrt{(\\frac{l}{2})^{2} + h^{2}}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-total-surface-area\">Total Surface Area<\/h2>\n\n\n\n<p>To find the total surface area of a rectangular pyramid, we add the area of all the faces (the base and the four lateral faces.<\/p>\n\n\n\n<p><strong>Formula for the Total Surface Area of a Rectangular Pyramid:<\/strong><\/p>\n\n\n\n<p><strong>TSA <\/strong>$=$<strong> (Area of base) <\/strong>$+$<strong> (Lateral Surface Area)<\/strong><\/p>\n\n\n\n<p>Area of base $= length \\times width = l \\times w$<\/p>\n\n\n\n<p>Total Surface Area $=$ (Area of base) $+$ (Lateral Surface Area)<\/p>\n\n\n\n<p>TSA $= (l\\times w) + l \\sqrt{(\\frac{w}{2})^{2} + h^{2}} + w\\sqrt{(\\frac{l}{2})^{2} + h2}$<\/p>\n\n\n\n<p>TSA $= lw + l \\sqrt{(\\frac{w}{2})^{2} + h^{2}} + w \\sqrt{(\\frac{l}{2})^{2} + h^{2}}$&nbsp; square units.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-facts-about-rectangular-pyramid\">Facts about Rectangular Pyramid<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>The pyramid shape or design is used in different forms of architecture and is observed in industrial scenarios.<\/li>\n\n\n\n<li>A rectangular pyramid has 5 faces, 5 vertices, and 8 edges.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we learned in detail about the rectangular pyramid, properties, and different formulas for the rectangular pyramid. Let\u2019s solve some examples and practice problems to understand the concept better.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-solved-examples-on-rectangular-pyramid\">Solved Examples on Rectangular Pyramid<\/h2>\n\n\n\n<p><strong>1. Find the volume of the given pyramid.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"267\" height=\"245\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/rectangular-pyramid.png\" alt=\"Rectangular pyramid\" class=\"wp-image-35752\" title=\"Rectangular pyramid\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p>Base length $(l ) = 10$ inches<\/p>\n\n\n\n<p>Base width $(w) = 8$ inches<\/p>\n\n\n\n<p>The height of the pyramid $(h) = 6$ inches<\/p>\n\n\n\n<p>The volume of the rectangular pyramid $(V)= (\\frac{1}{3}) \\times( l \\times w \\times h)$<\/p>\n\n\n\n<p>$V = (\\frac{1}{3}) \\times 10 \\times 8 \\times 6$<\/p>\n\n\n\n<p>$V = (\\frac{1}{3}) \\times 480$<\/p>\n\n\n\n<p>$V = 160\\;&nbsp;in^{3}$<\/p>\n\n\n\n<p>Hence, the volume of the given rectangular pyramid is $160\\;&nbsp; in^{3}$.<\/p>\n\n\n\n<p><strong>2. Find the total surface area of a rectangular pyramid if the base length is 12 inches, the base width is 10 inches, and the height of the pyramid is 15 inches.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Base length $(l) = 12$ in<\/p>\n\n\n\n<p>Base width $(w) = 10$ in<\/p>\n\n\n\n<p>The height of the pyramid $(h) = 15$ in<\/p>\n\n\n\n<p>Total surface area of a rectangular pyramid TSA $= w\\sqrt{h^{2} + (\\frac{l}{2})^{2}} + l\\;\\sqrt{h^{2} + (\\frac{w}{2})^{2}} + (l \\times w)$<\/p>\n\n\n\n<p>TSA $= (10 \\times \\sqrt{15^{2} +(\\frac{12}{2})^{2}} + 12 \\times \\sqrt{(15)^{2} +(\\frac{10}{2})^{2}} + (12 \\times 10)$<\/p>\n\n\n\n<p>TSA $= 10 \\times \\sqrt{(225 + 36)} + 12 \\times \\sqrt{(225 + 25)} + 120$<\/p>\n\n\n\n<p>TSA $= 10 \\times \\sqrt{261} +12 \\times \\sqrt{250} + 120$<\/p>\n\n\n\n<p>TSA $= 10 \\times 16.155 + 12 \\times 15.811 + 120$<\/p>\n\n\n\n<p>TSA $= 161.554 + 189.732 + 120$<\/p>\n\n\n\n<p>TSA $= 471.28$ sq. in<\/p>\n\n\n\n<p>Hence, the surface area of the given rectangular pyramid is 471.28 sq. in<\/p>\n\n\n\n<p><strong>3. A rectangular pyramid has a base area of <\/strong>$180\\; ft^{2}$<sup>&nbsp; <\/sup><strong>and height of 40 ft. Find the volume.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Base Area $=&nbsp; 180\\; ft^{2}$<\/p>\n\n\n\n<p>Height $= 40$ ft<\/p>\n\n\n\n<p>We know that,<\/p>\n\n\n\n<p>The volume of the rectangular pyramid $(V)= \\frac{1}{3} \\times base \\; area \\times h$<\/p>\n\n\n\n<p>&nbsp;&nbsp;$V = (\\frac{1}{3}) \\times 180 \\times 40$<\/p>\n\n\n\n<p>&nbsp;&nbsp;$V = (\\frac{1}{3}) \\times 7200$<\/p>\n\n\n\n<p>&nbsp;$V = 2400$ cubic ft.<\/p>\n\n\n\n<p>Hence, the volume of the given rectangular pyramid is 2400 cubic ft.<\/p>\n\n\n\n<p><strong>4. Determine the lateral surface area of a rectangular pyramid if <\/strong>$l = 12$<strong> inches and <\/strong>$w = 8$<strong> inches, and <\/strong>$h= 16$<strong> inches.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Base length $(l ) = 12$ inches<\/p>\n\n\n\n<p>Base width $(w) = 8$ inches&nbsp;<\/p>\n\n\n\n<p>The height of the pyramid $(h) = 16$ inches<\/p>\n\n\n\n<p>Lateral surface area of a rectangular pyramid $= l&nbsp; \\sqrt{h^{2} +&nbsp; (\\frac{w}{2})^{2}} + w\\sqrt{h^{2} +(\\frac{l}{2})^{2}}$<\/p>\n\n\n\n<p>$= 12 \\times \\sqrt{16^{2} + (\\frac{8}{2})^{2}} + 8 \\times \\sqrt{16^{2} + (\\frac{12}{2})^{2}}$<\/p>\n\n\n\n<p>$= 12 \\times \\sqrt{256 + 16} + 8 \\times \\sqrt{256 + 36}$<\/p>\n\n\n\n<p>$= 12 \\times \\sqrt{272} + 8 \\times \\sqrt{292}$<\/p>\n\n\n\n<p>$= 12 \\times 16.49 + 8 \\times 17.08$<\/p>\n\n\n\n<p>$= 197.88 + 136.64$<\/p>\n\n\n\n<p>$=&nbsp; 334.52$ square inches&nbsp;<\/p>\n\n\n\n<p>Hence, the lateral surface area of the given rectangular pyramid is 334.52 sq.in<\/p>\n\n\n\n<p><strong>5. What is the length of the base of a rectangular pyramid if volume <\/strong>$= 144\\; yard^{3}$<strong>, width <\/strong>$= 6\\;<strong> <\/strong>yards$<strong>, and height <\/strong>$= 9\\; yards$<strong>?<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/volume\" target=\"_blank\" rel=\"noopener\" title=\"\">Volume<\/a> (V) $= 144\\; yard^{3}$<\/p>\n\n\n\n<p><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/width\" target=\"_blank\" rel=\"noopener\" title=\"\">Width<\/a> (w) $= 6\\; yards$<\/p>\n\n\n\n<p><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/height\" target=\"_blank\" rel=\"noopener\" title=\"\">Height<\/a> (h) $= 9\\; yards$<\/p>\n\n\n\n<p>We know that,<\/p>\n\n\n\n<p>The volume of the rectangular pyramid $(V) = (\\frac{1}{3}) \\times (l \\times w \\times h)$ cubic units<\/p>\n\n\n\n<p>&nbsp; $144 = (\\frac{1}{3}) \\times (l \\times 6 \\times 9)$<\/p>\n\n\n\n<p>&nbsp; $432 = (l \\times 6 \\times 9)$<\/p>\n\n\n\n<p>&nbsp;&nbsp;$432 =(l \\times 54)$<\/p>\n\n\n\n<p>&nbsp;&nbsp; $l = \\frac{432}{54}$<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;$l = 8$ yards.<\/p>\n\n\n\n<p>&nbsp;&nbsp;Thus, the length of the base of a rectangular pyramid shaped game room is 8 yards.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"11-practice-problems-on-rectangular-pyramid\">Practice Problems on Rectangular Pyramid<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Rectangular Pyramid: Definition, Formula, Properties, Examples, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">How many edges does a rectangular pyramid have ?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">6<\/div><div class=\"spq_answer_block\" data-value=\"1\">8<\/div><div class=\"spq_answer_block\" data-value=\"2\">4<\/div><div class=\"spq_answer_block\" data-value=\"3\">10<\/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: 8<br\/>Rectangular pyramids have 8 edges.<\/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\">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=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">A rectangular pyramid has   _____  vertices.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">four<\/div><div class=\"spq_answer_block\" data-value=\"1\">three<\/div><div class=\"spq_answer_block\" data-value=\"2\">two<\/div><div class=\"spq_answer_block\" data-value=\"3\">five<\/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: five<br\/>Rectangular pyramids have 5 vertices. Of these, 4 vertices are located at the corner of the rectangular base and the top vertex is formed by the intersection of the four edges.<\/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\": \"Rectangular Pyramid: Definition, Formula, Properties, Examples, FAQs\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Rectangular Pyramid\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    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               \"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       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Of these, 4 vertices are located at the corner of the rectangular base and the top vertex is formed by the intersection of the four edges.\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"12-frequently-asked-questions-about-rectangular-pyramids\">Frequently Asked Questions about Rectangular Pyramids<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-fc754c37-36e1-44f3-a620-2e9de9c598cd\" 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-fc754c37-36e1-44f3-a620-2e9de9c598cd\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-fc754c37-36e1-44f3-a620-2e9de9c598cd\"><strong>What is the difference between a pyramid and 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-0-fc754c37-36e1-44f3-a620-2e9de9c598cd\">\n\n<p>a) Prisms have two congruent or identical bases. Pyramids have only one base.<\/p>\n\n\n\n<p>b) Prisms have rectangular lateral faces. Pyramids have triangular lateral faces.<\/p>\n\n\n\n<p>c) Pyramids have one central vertex, often referred to as an apex or a point where the lateral faces meet, while prisms don&#8217;t have a vertex because there are multiple meeting points where the faces connect.<\/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-fc754c37-36e1-44f3-a620-2e9de9c598cd\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-fc754c37-36e1-44f3-a620-2e9de9c598cd\"><strong>How 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-1-fc754c37-36e1-44f3-a620-2e9de9c598cd\">\n\n<p>The volume of the pyramid depends on the base area of the pyramid. As the type of pyramid changes, the base of the pyramid changes, thereby changing the base area of the pyramid. This 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-2-fc754c37-36e1-44f3-a620-2e9de9c598cd\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-fc754c37-36e1-44f3-a620-2e9de9c598cd\"><strong>How can we find the surface area of rectangular pyramid with slant height \u201cs\u201d?<\/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-fc754c37-36e1-44f3-a620-2e9de9c598cd\">\n\n<p>Total Surface Area (TSA) $= B + \\frac{1}{2}$ Ps<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= (l \\times w ) + \\frac{1}{2} \\times Ps$<\/p>\n\n\n\n<p>Where, $B =$ Base area of the rectangle<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$P =$ Base Perimeter<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$s =$ Slant height<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$l =$ length of the rectangular base<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$w =$ width of the rectangular base<\/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-3-fc754c37-36e1-44f3-a620-2e9de9c598cd\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-fc754c37-36e1-44f3-a620-2e9de9c598cd\"><strong>How can we find the height 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-3-fc754c37-36e1-44f3-a620-2e9de9c598cd\">\n\n<p>We know that the volume of a rectangular pyramid (v) $= \\frac{1}{3} \\times (l \\times w \\times h)$<\/p>\n\n\n\n<p>Thus, we can extract the formula for the height of a rectangular-based pyramid using our knowledge of algebra.<\/p>\n\n\n\n<p>Thus, $3V = l \\times w \\times h$<\/p>\n\n\n\n<p>and&nbsp; $h = \\frac{3v}{l \\times w}$<\/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-4-fc754c37-36e1-44f3-a620-2e9de9c598cd\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-fc754c37-36e1-44f3-a620-2e9de9c598cd\"><strong>How many vertices does a rectangular pyramid have?<\/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-4-fc754c37-36e1-44f3-a620-2e9de9c598cd\">\n\n<p>A rectangular pyramid has 5 vertices.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is a Rectangular Pyramid? A pyramid whose base is in the shape of a rectangle and sides in the shape of a triangle is called a rectangular pyramid.&nbsp; When we think of pyramids, we think of the Great Pyramids of Egypt, don\u2019t we? Every time we view different pyramids, we can observe how each &#8230; <a title=\"Rectangular Pyramid: Definition, Formula, Properties, Examples, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/rectangular-pyramid\" aria-label=\"More on Rectangular Pyramid: Definition, Formula, Properties, Examples, FAQs\">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-30332","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\/30332","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=30332"}],"version-history":[{"count":14,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/30332\/revisions"}],"predecessor-version":[{"id":35753,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/30332\/revisions\/35753"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=30332"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=30332"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=30332"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}