{"id":30726,"date":"2023-06-18T07:36:24","date_gmt":"2023-06-18T07:36:24","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=30726"},"modified":"2024-02-05T15:28:00","modified_gmt":"2024-02-05T15:28:00","slug":"square-prism-definition-types-properties-formulas-facts-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/square-prism","title":{"rendered":"Square Prism &#8211; Definition, Types, Properties, Formulas, Facts, 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-d674e675-f687-4c08-9d54-67b8e7c3e76d\" 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\/square-prism#0-what-is-a-square-prism>What Is a Square Prism?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/square-prism#3-types-of-a-square-prism>Types of a Square Prism<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/square-prism#4-surface-area-of-a-square-prism>Surface Area of a Square Prism<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/square-prism#10-solved-examples-on-a-square-prism>Solved Examples on a Square Prism<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/square-prism#11-practice-problems-on-a-square-prism>Practice Problems on a Square Prism<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/square-prism#12-frequently-asked-questions-on-square-prism>Frequently Asked Questions on Square Prism<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-a-square-prism\">What Is a Square Prism?<\/h2>\n\n\n\n<p><strong>A square prism is a special type of a cuboid (<\/strong><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/rectangular-prism\"><strong>a rectangular prism<\/strong><\/a><strong>) in which the bases are squares.<\/strong>&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"346\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/bases-of-a-square-prism-are-squares.png\" alt=\"Bases of a square prism are squares\" class=\"wp-image-35911\" title=\"Bases of a square prism are squares\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/bases-of-a-square-prism-are-squares.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/bases-of-a-square-prism-are-squares-300x167.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/prism\">prism<\/a> is a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/polyhedron\">polyhedron<\/a> or a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/solid\">solid shape<\/a> that is formed with flat faces. The top and bottom faces are identical and are called <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/base\">bases<\/a>. A prism is named after the shape of these bases.&nbsp;<\/p>\n\n\n\n<p>For example, if a prism has a triangular base, it is called a triangular prism. If the base is a rectangle, it is called a rectangular prism. So, in a square prism, the base is a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/square\">square<\/a>.&nbsp;<\/p>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/area-with-unit-squares-and-side-lengths\" 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_area_unit_sq_side_length_pt.png\" alt=\"Area with Unit Squares and Side Lengths 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\">Area with Unit Squares and Side Lengths 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\/classify-squares-and-trapezoids-as-closed-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\/geometry_square_trapezoid_2_pt.png\" alt=\"Classify Squares and Trapezoids as Closed 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\">Classify Squares and Trapezoids as Closed 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-area-in-square-units\" 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_grannys_rescue_1_2_gm.png\" alt=\"Find Area in Square Units 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 Area in Square Units 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-area-with-unit-squares\" 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_area_unit_square_2_pt.png\" alt=\"Find the Area with Unit Squares 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 Area with Unit Squares 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-perimeter-of-the-squared-and-the-rectangles\" 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_peri_rectangle_2_pt.png\" alt=\"Find the Perimeter of the Squared and the Rectangles 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 Perimeter of the Squared and the Rectangles 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\/identify-kite-squares-and-rectangles\" 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\/geometry_square_rectangle_pt.png\" alt=\"Identify Kite, Squares and Rectangles 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\">Identify Kite, Squares and Rectangles 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\/identify-squares-and-trapezoids\" 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\/geometry_amusement_park_19_21_gm.png\" alt=\"Identify Squares and Trapezoids 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\">Identify Squares and Trapezoids 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\/identify-the-area-with-unit-squares\" 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_area_unit_square_1_pt.png\" alt=\"Identify the Area with Unit Squares 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\">Identify the Area with Unit Squares 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\/identify-the-perimeter-with-unit-squares\" 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_peri_unit_square_2_pt.png\" alt=\"Identify the Perimeter with Unit Squares 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\">Identify the Perimeter with Unit Squares 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\/identify-triangles-and-squares\" 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\/geometry_triangles_squares_pt.png\" alt=\"Identify Triangles and Squares 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\">Identify Triangles and Squares 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-square-prism-definition\">Square Prism: Definition<\/h2>\n\n\n\n<p><strong>A square prism is a<\/strong><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/3-dimensional\"><strong> three-dimensional shape<\/strong><\/a><strong> whose bases are squares and the four lateral faces are rectangular in shape.<\/strong>&nbsp;&nbsp;<\/p>\n\n\n\n<p>Opposite faces of a square prism are congruent.&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\/square-prism.png\" alt=\"Square prism\" class=\"wp-image-35913\" title=\"Square prism\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/square-prism.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/square-prism-300x169.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\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\/squares-and-circles\" 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\/squares-and-circles.jpeg\" alt=\"Squares and Circles 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-square-prism\">Properties of Square Prism<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A square prism has 6 faces, 12 edges, and 8 vertices.<\/li>\n\n\n\n<li>Opposite sides of a square prism are parallel and congruent to each other.<\/li>\n\n\n\n<li>Opposite angles of a square prism are congruent to each other.<\/li>\n\n\n\n<li>Diagonals of a square prism bisect each other.<\/li>\n\n\n\n<li>Consecutive angles of square prisms are supplementary.<\/li>\n<\/ul>\n\n\n\n<p>(<strong>Note:<\/strong> A face or a flat surface of a solid is also called its side. So, here, \u201cside\u201d of a square prism refers to its faces.)<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"460\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/parts-of-a-square-prism.png\" alt=\"Parts of a square prism\" class=\"wp-image-35914\" title=\"Parts of a square prism\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/parts-of-a-square-prism.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/parts-of-a-square-prism-300x223.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-types-of-a-square-prism\">Types of a Square Prism<\/h2>\n\n\n\n<p>Square prisms are of two types based on the position of the lateral faces with respect to the base.&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Right Square Prism<\/li>\n\n\n\n<li>Oblique Square Prism&nbsp;<\/li>\n<\/ul>\n\n\n\n<p><strong>Right Square Prism<\/strong><\/p>\n\n\n\n<p>In a right square prism, the lateral faces (the rectangular faces) are perpendicular to its bases. This means that the two bases line up or get aligned with one directly above the other.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"364\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/right-square-prism.png\" alt=\"Right square prism\" class=\"wp-image-35915\" title=\"Right square prism\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/right-square-prism.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/right-square-prism-300x176.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p><strong>Oblique Square Prism<\/strong><\/p>\n\n\n\n<p>In an oblique square prism, the rectangular faces are not perpendicular to the prism&#8217;s bases. Although the two bases will be congruent and parallel, one is not placed directly over the other.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"466\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/oblique-square-prism.png\" alt=\"Oblique square prism\" class=\"wp-image-35916\" title=\"Oblique square prism\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/oblique-square-prism.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/oblique-square-prism-300x225.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-surface-area-of-a-square-prism\">Surface Area of a Square Prism<\/h2>\n\n\n\n<p>The surface area (or total surface area) of a square prism is the total area of all its faces (two square bases and four rectangular lateral faces).<\/p>\n\n\n\n<p>It can be defined as the sum of the lateral surface area and the area of two square bases.<\/p>\n\n\n\n<p>Surface area of a prism is measured in <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/square-unit\">square units<\/a> such as $ft^{2},\\; in^{2}$, etc.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"384\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/surface-area-of-a-square-prism.png\" alt=\"Surface area of a square prism\" class=\"wp-image-35917\" title=\"Surface area of a square prism\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/surface-area-of-a-square-prism.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/surface-area-of-a-square-prism-300x186.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>In the image above, we have a square prism where<\/p>\n\n\n\n<p>\u201ca\u201d&nbsp; is the side length of the square at the base<\/p>\n\n\n\n<p>\u201ch\u201d is the height of the square prism.<\/p>\n\n\n\n<p><strong>Lateral surface area of a square prism <\/strong>$=$<strong> Area of 4 rectangular faces&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>LSA <\/strong>$= 4(ah)$<\/p>\n\n\n\n<p>Area of the base $= a^{2}$<\/p>\n\n\n\n<p>The formula for the surface area of the square prism is given by<\/p>\n\n\n\n<p><strong>Total surface area of the square prism <\/strong>$= (2 \\times \\text{Base area}) + \\text{Lateral surface area}$<\/p>\n\n\n\n<p>$TSA = 2a^{2} +&nbsp; 4ah$ square units.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-volume-of-a-square-prism\">Volume of a Square Prism<\/h2>\n\n\n\n<p>Every 3D shape occupies some space. This space is measured in terms of its volume. <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/volume\">Volume<\/a> is defined as the space occupied within the boundaries of an object in three-dimensional space.&nbsp;<\/p>\n\n\n\n<p>Volume is measured in <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/cubic-unit\">cubic units<\/a> such as $ft^{3},\\;&nbsp; inch^{3}$, etc.&nbsp;<\/p>\n\n\n\n<p>Volume of a square prism is given by the product of the base area and its height.<\/p>\n\n\n\n<p>$\\text{Volume of a Square Prism} = \\text{Base area}$<\/p>\n\n\n\n<p>$\\text{Base area} = \\text{Area of a square with side \u201ca\u201d} = a^{2}$<\/p>\n\n\n\n<p>Height $=$ h&nbsp;<\/p>\n\n\n\n<p><strong>Volume of a Square Prism <\/strong>$= V = a^{2}h$<strong> cubic units.<\/strong><\/p>\n\n\n\n<p>where,&nbsp;<\/p>\n\n\n\n<p>\u201ca\u201d&nbsp; is the base-edge (side of the square at the base).<\/p>\n\n\n\n<p>\u201ch\u201d is the height of the square prism.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"468\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/volume-of-a-square-prism.png\" alt=\"Volume of a square prism\" class=\"wp-image-35918\" title=\"Volume of a square prism\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/volume-of-a-square-prism.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/volume-of-a-square-prism-300x226.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-square-prism-formulas\">Square Prism Formulas<\/h2>\n\n\n\n<p>Let a be the base-edge of the square prism (side-length of the square at the base) and h be the height of the square prism.<\/p>\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>Lateral Surface Area of a Square Prism $=&nbsp; 4ah$<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Total Surface Area of a Square Prism $=&nbsp;2a^{2} +&nbsp; 4ah$<\/li>\n\n\n\n<li>Volume of a Square Prism $=&nbsp;a^{2}h$<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-square-prism-net\">Square Prism Net<\/h2>\n\n\n\n<p>When the square prism is flattened by opening it along the edges, the 2D structure formed as a result is known as the net of the square prism. It has 2 square faces and 4 rectangular faces.&nbsp;<\/p>\n\n\n\n<p>When all flattened ends are joined back, we get the shape of a square prism. The image below shows the net of the square prism.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"438\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/square-prism-net.png\" alt=\"Square prism net\" class=\"wp-image-35919\" title=\"Square prism net\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/square-prism-net.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/square-prism-net-300x212.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-facts-about-square-prism\">Facts about Square Prism<\/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>A square prism is a cuboid (a convex polyhedron), which has 6 faces, out of which two end-faces are square, 4 lateral faces are rectangles.<\/li>\n\n\n\n<li>It has 12 edges, out of which 4 are lateral edges and 8 edges are of end faces.<\/li>\n\n\n\n<li>It has 8 vertices (4 vertices of the square face at the top and 4 vertices of the other square at the base).<\/li>\n\n\n\n<li>All square prisms are not cubes, but all cubes are square prisms. This is because every cube fulfills the properties of a square prism.<\/li>\n\n\n\n<li>As a Rubik\u2019s cube has six congruent faces that are all perpendicular to each other, a Rubik\u2019s cube is a well-known example of a square prism.<\/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 have learned about the definition, types, properties, and formulas of the square prism. Let&#8217;s solve some examples based on those formulas to understand the concept better.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-solved-examples-on-a-square-prism\">Solved Examples on a Square Prism<\/h2>\n\n\n\n<p><strong>1: Find the total surface area of the given square prism.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"313\" height=\"275\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/a-square-prism-with-height-30-ft-and-side-of-the-base-15-ft.png\" alt=\"A square prism with height 30 ft and side of the base 15 ft\" class=\"wp-image-35920\" title=\"A square prism with height 30 ft and side of the base 15 ft\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/a-square-prism-with-height-30-ft-and-side-of-the-base-15-ft.png 313w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/a-square-prism-with-height-30-ft-and-side-of-the-base-15-ft-300x264.png 300w\" sizes=\"auto, (max-width: 313px) 100vw, 313px\" \/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Height of the square prism $(h) = 30$ ft<\/p>\n\n\n\n<p>The side length of the square in square prism $(a) = 15$ ft<\/p>\n\n\n\n<p>Base area of a square prism $= a^{2}$&nbsp;<\/p>\n\n\n\n<p>The lateral surface area of square prism $= 4ah$<\/p>\n\n\n\n<p>where \u201ca\u201d is the side length of the base square and \u201ch\u201d is the height of the square prism<\/p>\n\n\n\n<p>Total surface area of the given square prism $= (2\\times \\text{Base area}) + \\text{Lateral surface area}$<\/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;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= (2 \\times 15^{2}) + (4 \\times 15 \\times 30)$<\/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;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= (2 \\times 225) + 1800$<\/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;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= 450 + 1800$<\/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;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= 2250$ square ft<\/p>\n\n\n\n<p>Total surface area of the given square prism $= 2250$ square feet.<\/p>\n\n\n\n<p><strong>2. Find the volume of a square prism if the length of the side of the square face of a square prism is 10 in and height is 12 in.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Height of the square prism $(h) = 12$ in<\/p>\n\n\n\n<p>The side length of the square in square prism $(a) = 10$ in<\/p>\n\n\n\n<p>Volume of a Square Prism is calculated using the formula:<\/p>\n\n\n\n<p>$V = a^{2}h$ cubic units.<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;$V = 10^{2} \\times 12$<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= 100 \\times 12$<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= 1200\\; in^{3}$<\/p>\n\n\n\n<p>Volume of the given square prism is $1200\\; in^{3}$.<\/p>\n\n\n\n<p><strong>3. Find the side length of the square prism if the volume of the square prism is 1078 cu. units and the height is 22 units.&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>The height of a square prism $(h) = 22$ units<\/p>\n\n\n\n<p>The volume of a square prism $= 1694$ cu. cm<\/p>\n\n\n\n<p>We have,<\/p>\n\n\n\n<p>The Volume of a square prism $= a^{2}h$ cubic units.<\/p>\n\n\n\n<p>By substituting the values in the formula, we get<\/p>\n\n\n\n<p>$1078 = (a^{2}) \\times (22)$<\/p>\n\n\n\n<p>$a^{2} = 1078 \\div 22$<\/p>\n\n\n\n<p>$a^{2} =&nbsp; 49$<\/p>\n\n\n\n<p>$a =&nbsp; \\sqrt{49}$<\/p>\n\n\n\n<p>$a =&nbsp; 7$ units<\/p>\n\n\n\n<p>The side length of the square prism is 7 units.<\/p>\n\n\n\n<p><strong>4. Find the height of the square prism shaped box if the side length of the base is 10 ft and volume is 1500 <\/strong>$ft^{3}$<strong>.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Volume of the box $= 1500\\; ft^{3}$<\/p>\n\n\n\n<p>Side of the base$ = 10\\; ft$<\/p>\n\n\n\n<p>Volume of a square prism $= a^{2}h$ cubic units.<\/p>\n\n\n\n<p>By substituting the values in the formula, we get<\/p>\n\n\n\n<p>$1500 = (10^{2}) \\times h$<\/p>\n\n\n\n<p>$1500 = 100 \\times h$<\/p>\n\n\n\n<p>$h&nbsp; = \\frac{1500}{100}$<\/p>\n\n\n\n<p>$h&nbsp; =&nbsp; 15$ ft.<\/p>\n\n\n\n<p>The height of the square prism shaped box is 15 ft.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"11-practice-problems-on-a-square-prism\">Practice Problems on a Square Prism<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Square Prism - Definition, Types, Properties, Formulas, Facts, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">A square prism is a special case of a ________.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">square<\/div><div class=\"spq_answer_block\" data-value=\"1\">pyramid<\/div><div class=\"spq_answer_block\" data-value=\"2\">cylinder<\/div><div class=\"spq_answer_block\" data-value=\"3\">cuboid<\/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: cuboid<br\/>A square prism is a special case of a cuboid where the two bases are squares.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">A square prism has<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">four rectangular lateral faces<\/div><div class=\"spq_answer_block\" data-value=\"1\">two square bases<\/div><div class=\"spq_answer_block\" data-value=\"2\">six faces in total<\/div><div class=\"spq_answer_block\" data-value=\"3\">All of the above<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: All of the above<br\/>A square prism has 6 faces out of which two bases (top and bottom) are square, 4 lateral faces are rectangles.<\/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\">Volume of a square prism is calculated using the formula: $V =$ ________.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">ah<\/div><div class=\"spq_answer_block\" data-value=\"1\">$a^{2}\\;h^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$a^{2}\\;h$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$a^{3}\\;h$<\/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: $a^{2}\\;h$<br\/>Volume of a Square Prism is calculated using the formula: $V = \\text{Base area}\\times \\text{height}$<br>\r\n$V = a^{2}h$ cubic units.<br>\r\nwhere,<br>\r\n\u201ca\u201d  is the side length of the square prism<br>\r\n\u201ch\u201d is the height of the square prism.<\/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\">Total surface area of the square prism (TSA) is given by<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$2a^{2} +  4ah$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$2a + 4ah$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$2a^{3} + 2ah$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$2a^{2} + 2ah$<\/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: $2a^{2} +  4ah$<br\/>The surface area can be defined as the sum of the lateral surface area (LSA) and the area of the 2 square bases of the prism. It is calculated using the formula $TSA = 2a^{2} +  4ah$  square units.<\/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\": \"Square Prism - Definition, Types, Properties, Formulas, Facts, FAQs\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Square Prism\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"A square prism is a special case of a ________.\",\n                    \"text\": \"A square prism is a special case of a ________.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"A square prism is a special case of a cuboid where the two bases are squares.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"square\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A square prism is a special case of a cuboid where the two bases are squares.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"pyramid\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A square prism is a special case of a cuboid where the two bases are squares.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"cylinder\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A square prism is a special case of a cuboid where the two bases are squares.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"cuboid\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"A square prism is a special case of a cuboid where the two bases are squares.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"A square prism is a special case of a cuboid where the two bases are squares.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"A square prism has\",\n                    \"text\": \"A square prism has\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"A square prism has 6 faces out of which two bases (top and bottom) are square, 4 lateral faces are rectangles.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"four rectangular lateral faces\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A square prism has 6 faces out of which two bases (top and bottom) are square, 4 lateral faces are rectangles.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"two square bases\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A square prism has 6 faces out of which two bases (top and bottom) are square, 4 lateral faces are rectangles.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"six faces in total\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A square prism has 6 faces out of which two bases (top and bottom) are square, 4 lateral faces are rectangles.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"All of the above\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"A square prism has 6 faces out of which two bases (top and bottom) are square, 4 lateral faces are rectangles.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"A square prism has 6 faces out of which two bases (top and bottom) are square, 4 lateral faces are rectangles.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Volume of a square prism is calculated using the formula: $$V =$$ ________.\",\n                    \"text\": \"Volume of a square prism is calculated using the formula: $$V =$$ ________.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Volume of a Square Prism is calculated using the formula: $$V = \\\\text{Base area}\\\\times \\\\text{height}$$<br>\r\n$$V = a^{2}h$$ cubic units.<br>\r\nwhere,<br>\r\n\u201ca\u201d  is the side length of the square prism<br>\r\n\u201ch\u201d is the height of the square prism.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"ah\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Volume of a Square Prism is calculated using the formula: $$V = \\\\text{Base area}\\\\times \\\\text{height}$$<br>\r\n$$V = a^{2}h$$ cubic units.<br>\r\nwhere,<br>\r\n\u201ca\u201d  is the side length of the square prism<br>\r\n\u201ch\u201d is the height of the square prism.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$a^{2}\\\\;h^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Volume of a Square Prism is calculated using the formula: $$V = \\\\text{Base area}\\\\times \\\\text{height}$$<br>\r\n$$V = a^{2}h$$ cubic units.<br>\r\nwhere,<br>\r\n\u201ca\u201d  is the side length of the square prism<br>\r\n\u201ch\u201d is the height of the square prism.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$a^{3}\\\\;h$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Volume of a Square Prism is calculated using the formula: $$V = \\\\text{Base area}\\\\times \\\\text{height}$$<br>\r\n$$V = a^{2}h$$ cubic units.<br>\r\nwhere,<br>\r\n\u201ca\u201d  is the side length of the square prism<br>\r\n\u201ch\u201d is the height of the square prism.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$a^{2}\\\\;h$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Volume of a Square Prism is calculated using the formula: $$V = \\\\text{Base area}\\\\times \\\\text{height}$$<br>\r\n$$V = a^{2}h$$ cubic units.<br>\r\nwhere,<br>\r\n\u201ca\u201d  is the side length of the square prism<br>\r\n\u201ch\u201d is the height of the square prism.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Volume of a Square Prism is calculated using the formula: $$V = \\\\text{Base area}\\\\times \\\\text{height}$$<br>\r\n$$V = a^{2}h$$ cubic units.<br>\r\nwhere,<br>\r\n\u201ca\u201d  is the side length of the square prism<br>\r\n\u201ch\u201d is the height of the square prism.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Total surface area of the square prism (TSA) is given by\",\n                    \"text\": \"Total surface area of the square prism (TSA) is given by\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The surface area can be defined as the sum of the lateral surface area (LSA) and the area of the 2 square bases of the prism. It is calculated using the formula $$TSA = 2a^{2} +  4ah$$  square units.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$2a + 4ah$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The surface area can be defined as the sum of the lateral surface area (LSA) and the area of the 2 square bases of the prism. It is calculated using the formula $$TSA = 2a^{2} +  4ah$$  square units.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$2a^{3} + 2ah$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The surface area can be defined as the sum of the lateral surface area (LSA) and the area of the 2 square bases of the prism. It is calculated using the formula $$TSA = 2a^{2} +  4ah$$  square units.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$2a^{2} + 2ah$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The surface area can be defined as the sum of the lateral surface area (LSA) and the area of the 2 square bases of the prism. It is calculated using the formula $$TSA = 2a^{2} +  4ah$$  square units.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$2a^{2} +  4ah$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The surface area can be defined as the sum of the lateral surface area (LSA) and the area of the 2 square bases of the prism. It is calculated using the formula $$TSA = 2a^{2} +  4ah$$  square units.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The surface area can be defined as the sum of the lateral surface area (LSA) and the area of the 2 square bases of the prism. It is calculated using the formula $$TSA = 2a^{2} +  4ah$$  square units.\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"12-frequently-asked-questions-on-square-prism\">Frequently Asked Questions on Square Prism<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-5ffe9bcf-94e4-425d-9cd6-2fc49f37a6b6\" 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-0-5ffe9bcf-94e4-425d-9cd6-2fc49f37a6b6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-5ffe9bcf-94e4-425d-9cd6-2fc49f37a6b6\"><strong>What is the difference between a square prism and a rectangular 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-0-5ffe9bcf-94e4-425d-9cd6-2fc49f37a6b6\">\n\n<p>A rectangular prism has six faces, and all the faces are <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/rectangle\">rectangles<\/a>. A square prism has two square bases and four rectangular lateral faces.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"221\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/06\/square-prism-FAQ1.png\" alt=\"Square prism and rectangular prism\" class=\"wp-image-30739\" title=\"Square prism and rectangular prism\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/06\/square-prism-FAQ1.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/06\/square-prism-FAQ1-300x107.png 300w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-5ffe9bcf-94e4-425d-9cd6-2fc49f37a6b6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-5ffe9bcf-94e4-425d-9cd6-2fc49f37a6b6\"><strong>Are cube and square prisms the same? Is a square prism always a cube?<\/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-1-5ffe9bcf-94e4-425d-9cd6-2fc49f37a6b6\">\n\n<p>A cube is a 3D shape in which all edges have the same length. A square prism is a cuboid with a square base. However, it is not necessary that the height will be the same as the side of the square. Thus, every square prism is not a cube. So, a square prism becomes a cube when all the edges are equal in length. Every cube is a square prism as it satisfies the properties of a square prism.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"504\" height=\"243\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/06\/square-prism-FAQ2.png\" alt=\"Cube and square prism comparison\" class=\"wp-image-30740\" title=\"Cube and square prism comparison\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/06\/square-prism-FAQ2.png 504w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/06\/square-prism-FAQ2-300x145.png 300w\" sizes=\"auto, (max-width: 504px) 100vw, 504px\" \/><\/figure>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-5ffe9bcf-94e4-425d-9cd6-2fc49f37a6b6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-5ffe9bcf-94e4-425d-9cd6-2fc49f37a6b6\"><strong>What is a truncated square 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-2-5ffe9bcf-94e4-425d-9cd6-2fc49f37a6b6\">\n\n<p>A truncated square prism is a portion of a prism formed by the intersection of a plane not parallel to the base such that the plane is intersecting all the lateral edges. Since the truncating plane is not parallel to the base, the solid formed has two nonparallel bases, which are both polygons of the same number of edges. In a truncated square prism, the lateral edges are non-congruent and the lateral faces are <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/quadrilateral\">quadrilaterals<\/a>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"358\" height=\"225\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/06\/square-prism-FAQ3.png\" alt=\"Truncated square prism\" class=\"wp-image-30741\" title=\"Truncated square prism\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/06\/square-prism-FAQ3.png 358w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/06\/square-prism-FAQ3-300x189.png 300w\" sizes=\"auto, (max-width: 358px) 100vw, 358px\" \/><\/figure>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-5ffe9bcf-94e4-425d-9cd6-2fc49f37a6b6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-5ffe9bcf-94e4-425d-9cd6-2fc49f37a6b6\"><strong>What is the difference between a square pyramid and a square 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-3-5ffe9bcf-94e4-425d-9cd6-2fc49f37a6b6\">\n\n<p>Both the square pyramid and square prism have a square base, but the four lateral faces of a square pyramid are triangular in shape, which join together at the apex, whereas the four lateral faces of a square prism are rectangular in shape such that the top and base are parallel and congruent.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"369\" height=\"218\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/06\/square-prism-FAQ4.png\" alt=\"Square prism and square pyramid\" class=\"wp-image-30742\" title=\"Square prism and square pyramid\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/06\/square-prism-FAQ4.png 369w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/06\/square-prism-FAQ4-300x177.png 300w\" sizes=\"auto, (max-width: 369px) 100vw, 369px\" \/><\/figure>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is a Square Prism? A square prism is a special type of a cuboid (a rectangular prism) in which the bases are squares.&nbsp; A prism is a polyhedron or a solid shape that is formed with flat faces. The top and bottom faces are identical and are called bases. A prism is named after &#8230; <a title=\"Square Prism &#8211; Definition, Types, Properties, Formulas, Facts, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/square-prism\" aria-label=\"More on Square Prism &#8211; Definition, Types, Properties, Formulas, Facts, 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-30726","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\/30726","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=30726"}],"version-history":[{"count":14,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/30726\/revisions"}],"predecessor-version":[{"id":39920,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/30726\/revisions\/39920"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=30726"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=30726"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=30726"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}