{"id":1739,"date":"2022-04-22T08:52:05","date_gmt":"2022-04-22T08:52:05","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1739"},"modified":"2024-02-20T18:06:38","modified_gmt":"2024-02-20T18:06:38","slug":"1739-2","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/prism","title":{"rendered":"Prism &#8211; Definition, Examples, Examples, FAQs"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-cb34a546-c4e4-4424-a552-a4913590806a\" 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\/geometry\/prism#0-what-is-a-prism>What is a Prism?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/prism#1-elements-of-a-prism>Elements of a Prism<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/prism#2-cross-sections-of-a-prism>Cross Sections of a Prism<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/prism#6-solved-examples-on-prism>Solved Examples On Prism<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/prism#7-practice-problems-on-prism>Practice Problems On Prism<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/prism#8-frequently-asked-questions-on-prism>Frequently Asked Questions On Prism<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-a-prism\">What is a Prism?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>A prism is a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/solid\" target=\"_blank\" rel=\"noopener\" title=\"\">solid shape<\/a> that is bound on all its sides by plane faces.<\/strong> There are two types of faces in a prism. The top and bottom faces are identical and are called bases. A prism is named after the shape of these bases. For example, if a prism has a triangular base it is called a triangular prism.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"312\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/examples-of-prism.png\" alt=\"Examples of prism\" class=\"wp-image-40643\" title=\"Examples of prism\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/examples-of-prism.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/examples-of-prism-300x151.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>The faces other than the top and bottom of a prism are called its <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/lateral-face\" target=\"_blank\" rel=\"noopener\" title=\"\">lateral faces<\/a>.<\/strong> All the lateral faces are also identical to each other and belong to the class of parallelograms. This means that the lateral faces can either be parallelograms, rectangles, or even squares since all of them have their opposite sides parallel to each other. One of the most common examples of a prism is a cuboid. It has a rectangular base and is called a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/rectangular-prism\" target=\"_blank\" rel=\"noopener\" title=\"\">rectangular prism<\/a>.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"1-elements-of-a-prism\">Elements of a Prism<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">A prism can be labeled with its features, which helps characterize them.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Edge: A straight line that connects any two adjacent vertices of a prism is called its edge.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Vertex: The corners of a prism where any two edges meet are called vertices.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Face: It is a closed, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/flat-surface\" target=\"_blank\" rel=\"noopener\" title=\"\">flat surface<\/a> surrounded by vertices and edges.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-cross-sections-of-a-prism\">Cross Sections of a Prism<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The cross section of a prism is the shape obtained when a plane intersects a prism along its axis. Based on the shape of the base, prisms can be categorized into the following:<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Triangular prism<\/strong>: The base of the prism is triangular in shape.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"407\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/triangular-prism.png\" alt=\"Triangular prism\" class=\"wp-image-40644\" title=\"Triangular prism\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/triangular-prism.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/triangular-prism-300x197.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Hexagonal prism<\/strong>: It is a prism with a base in the shape of a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/hexagon\" target=\"_blank\" rel=\"noopener\" title=\"\">hexagon<\/a>.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"315\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/hexagonal-prism.png\" alt=\"Hexagonal prism\" class=\"wp-image-40645\" title=\"Hexagonal prism\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/hexagonal-prism.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/hexagonal-prism-300x152.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Square prism<\/strong>: A prism that has a base in the shape of a square. You may have seen a square prism with a different name, it is also called a cube.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"352\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/square-prism.png\" alt=\"Square prism\" class=\"wp-image-40646\" title=\"Square prism\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/square-prism.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/square-prism-300x170.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Pentagonal prism<\/strong>: The base of the prism is shaped like a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/pentagon\" target=\"_blank\" rel=\"noopener\" title=\"\">pentagon<\/a>.&nbsp;<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"356\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/04\/pentagonal-prism.png\" alt=\"Pentagonal prism\" class=\"wp-image-40647\" title=\"Pentagonal prism\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/04\/pentagonal-prism.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/04\/pentagonal-prism-300x172.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Rectangular prism<\/strong>: A prism that has bases in the shape of a rectangle. A<a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/rectangular-prism\" target=\"_blank\" rel=\"noopener\" title=\"\"> rectangular prism<\/a> is also known as a cuboid.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"349\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/rectangular-prism.png\" alt=\"Rectangular prism\" class=\"wp-image-40648\" title=\"Rectangular prism\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/rectangular-prism.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/rectangular-prism-300x169.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Did you know that an ordinary triangular prism can separate white light into several constituent colors that constitute the spectrum?<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"280\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/beam-of-light-pasing-through-prism.png\" alt=\"Beam of light pasing through prism\" class=\"wp-image-40649\" title=\"Beam of light pasing through prism\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/beam-of-light-pasing-through-prism.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/beam-of-light-pasing-through-prism-300x135.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-regular-and-irregular-prisms\">Regular and Irregular Prisms<\/h2>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"313\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/regular-and-irregular-prisms.png\" alt=\"Regular and irregular prisms\" class=\"wp-image-40650\" title=\"Regular and irregular prisms\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/regular-and-irregular-prisms.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/regular-and-irregular-prisms-300x151.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">The shape of the base of a prism is used to segregate them into regular and irregular polygons. A regular prism is a base with a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/regular-polygon\" target=\"_blank\" rel=\"noopener\" title=\"\">regular polygon<\/a>, whereas a prism whose base is an irregular polygon is called an irregular prism.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-right-prism-and-oblique-prism\">Right Prism and Oblique Prism<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">A right prism will have two flat ends and they are perfectly aligned with every side face. An oblique prism, on the other hand, will appear to be somewhat tilted with two bases that are not aligned. The side faces of such a prism are parallelograms.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"404\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/right-and-oblique-prisms.png\" alt=\"Right and oblique prisms\" class=\"wp-image-40651\" title=\"Right and oblique prisms\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/right-and-oblique-prisms.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/right-and-oblique-prisms-300x195.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-surface-area-of-a-prism\">Surface Area of a Prism<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">For any prism, the surface area of the same can be calculated using the following formula:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Surface Area = (2 \u2715 Base Area) + (Base perimeter \u2715 Height)<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The surface area of a prism is the total area on all of its bases and faces.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Volume of a Prism<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">The available space within a prism depicts the volume of a prism. To arrive at the volume of a prism, we will need to estimate the area of the cross-sections and then multiply them with the depth of the prism. The volume of a prism can be denoted in cubic units.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The formula to calculate the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-prism\" target=\"_blank\" rel=\"noopener\" title=\"\">volume of a prism<\/a> is as follows:<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Volume = Area of base \u2715 Height<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-solved-examples-on-prism\">Solved Examples On Prism<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 1. Calculate the volume of a prism with a height of 7 cm and an area of the base of 60 cm\u00b2.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>: We know that <strong>Volume of prism = Area of base \u2715 Height<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">For the given prism,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Height = 7 cm and Area of base = 60 cm\u00b2<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Therefore, the volume of the given prism:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Volume = 60 \u2715 7 = 420 cm\u00b3<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 2. Calculate the surface area of a prism with a base area of 25 cm\u00b2, a base perimeter of 24 cm, and a height of 10 cm.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Solution: We know that for a prism,&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Surface Area = (2 \u2715 Base Area) + (Base perimeter \u2715 Height)<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For the given prism,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Height = 10 cm and Area of base = 25 cm\u00b2 and Perimeter of base = 24 cm,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Therefore, the surface area of the given prism:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Surface Area = (2 \u2715 25) + (24 \u2715 10) = 50 + 240 = 290 cm\u00b2<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 3. Find out the volume of a prism with a base area of 25 cm\u00b2 and <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/length\" title=\"\">length<\/a> of 12 cm.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>:&nbsp; We know that Volume of prism = Area of base \u2715 Height<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For the given prism,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Height = 12 cm and Area of base = 25 cm\u00b2<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Therefore, the volume of the given prism:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Volume = 25 \u2715 12 = 300 cm\u00b3<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-practice-problems-on-prism\">Practice Problems On Prism<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">What is Prism? Meaning, Definition, Shape, Types, Area<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">For a pentagonal prism with a length of 12.5 cm, what will be the prism\u2019s volume if the base area is 30 cm\u00b2.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">125 cm\u00b3<\/div><div class=\"spq_answer_block\" data-value=\"1\">5 cm\u00b3<\/div><div class=\"spq_answer_block\" data-value=\"2\">375 cm\u00b3<\/div><div class=\"spq_answer_block\" data-value=\"3\">25 cm\u00b3<\/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: 375 cm\u00b3<br\/>We know that \tVolume of prism = Area of base \u2715 Height<br>\r\nFor the given prism,<br>\r\nHeight = 12.5 cm and Area of base = 30 cm\u00b2<br>\r\nTherefore, Volume of the given prism:<br>\r\nVolume = 30 \u2715 12.5 = 375 cm\u00b3<\/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\">Which of the following is an example of a prism shape?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Cube<\/div><div class=\"spq_answer_block\" data-value=\"1\">Cone<\/div><div class=\"spq_answer_block\" data-value=\"2\">Sphere<\/div><div class=\"spq_answer_block\" data-value=\"3\">Cylinder<\/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: Cube<br\/>A cube is a prism that has square bases and square faces.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">If the volume of a rectangular prism is 40 cm\u00b3 and the base area is 10 cm\u00b2, calculate the height of the prism.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">6 cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">4 cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">7 cm<\/div><div class=\"spq_answer_block\" data-value=\"3\">10 cm<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 4 cm<br\/>We know that Volume of prism = Area of base \u2715 Height<br>\r\nFor the given prism,<br>\r\nVolume = 12 cm and area of base = 25 cm\u00b2<br>\r\nTherefore,<br>\r\n40 = 10 \u2715 height<br>\r\nHeight = $\\frac{40}{10}$ = 4 cm.<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"What is Prism? 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                           \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5 cm\u00b3\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We know that \tVolume of prism = Area of base \u2715 Height<br>\r\nFor the given prism,<br>\r\nHeight = 12.5 cm and Area of base = 30 cm\u00b2<br>\r\nTherefore, Volume of the given prism:<br>\r\nVolume = 30 \u2715 12.5 = 375 cm\u00b3\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"25 cm\u00b3\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We know that \tVolume of prism = Area of base \u2715 Height<br>\r\nFor the given prism,<br>\r\nHeight = 12.5 cm and Area of base = 30 cm\u00b2<br>\r\nTherefore, Volume of the given prism:<br>\r\nVolume = 30 \u2715 12.5 = 375 cm\u00b3\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"375 cm\u00b3\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"We know that \tVolume of prism = Area of base \u2715 Height<br>\r\nFor the given prism,<br>\r\nHeight = 12.5 cm and Area of base = 30 cm\u00b2<br>\r\nTherefore, Volume of the given prism:<br>\r\nVolume = 30 \u2715 12.5 = 375 cm\u00b3\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"We know that \tVolume of prism = Area of base \u2715 Height<br>\r\nFor the given prism,<br>\r\nHeight = 12.5 cm and Area of base = 30 cm\u00b2<br>\r\nTherefore, Volume of the given prism:<br>\r\nVolume = 30 \u2715 12.5 = 375 cm\u00b3\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following is an example of a prism shape?\",\n                    \"text\": \"Which of the following is an example of a prism shape?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"A cube is a prism that has square bases and square faces.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Cone\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A cube is a prism that has square bases and square faces.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Sphere\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A cube is a prism that has square bases and square faces.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Cylinder\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A cube is a prism that has square bases and square faces.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Cube\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"A cube is a prism that has square bases and square faces.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"A cube is a prism that has square bases and square faces.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"If the volume of a rectangular prism is 40 cm\u00b3 and the base area is 10 cm\u00b2, calculate the height of the prism.\",\n                    \"text\": \"If the volume of a rectangular prism is 40 cm\u00b3 and the base area is 10 cm\u00b2, calculate the height of the prism.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"We know that Volume of prism = Area of base \u2715 Height<br>\r\nFor the given prism,<br>\r\nVolume = 12 cm and area of base = 25 cm\u00b2<br>\r\nTherefore,<br>\r\n40 = 10 \u2715 height<br>\r\nHeight = $$\\\\frac{40}{10}$$ = 4 cm.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"6 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We know that Volume of prism = Area of base \u2715 Height<br>\r\nFor the given prism,<br>\r\nVolume = 12 cm and area of base = 25 cm\u00b2<br>\r\nTherefore,<br>\r\n40 = 10 \u2715 height<br>\r\nHeight = $$\\\\frac{40}{10}$$ = 4 cm.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"7 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We know that Volume of prism = Area of base \u2715 Height<br>\r\nFor the given prism,<br>\r\nVolume = 12 cm and area of base = 25 cm\u00b2<br>\r\nTherefore,<br>\r\n40 = 10 \u2715 height<br>\r\nHeight = $$\\\\frac{40}{10}$$ = 4 cm.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"10 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We know that Volume of prism = Area of base \u2715 Height<br>\r\nFor the given prism,<br>\r\nVolume = 12 cm and area of base = 25 cm\u00b2<br>\r\nTherefore,<br>\r\n40 = 10 \u2715 height<br>\r\nHeight = $$\\\\frac{40}{10}$$ = 4 cm.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"4 cm\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"We know that Volume of prism = Area of base \u2715 Height<br>\r\nFor the given prism,<br>\r\nVolume = 12 cm and area of base = 25 cm\u00b2<br>\r\nTherefore,<br>\r\n40 = 10 \u2715 height<br>\r\nHeight = $$\\\\frac{40}{10}$$ = 4 cm.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"We know that Volume of prism = Area of base \u2715 Height<br>\r\nFor the given prism,<br>\r\nVolume = 12 cm and area of base = 25 cm\u00b2<br>\r\nTherefore,<br>\r\n40 = 10 \u2715 height<br>\r\nHeight = $$\\\\frac{40}{10}$$ = 4 cm.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-frequently-asked-questions-on-prism\">Frequently Asked Questions On Prism<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-005b413b-c0fe-4962-88af-6480f3eb8cc0\" 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-0-005b413b-c0fe-4962-88af-6480f3eb8cc0\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-005b413b-c0fe-4962-88af-6480f3eb8cc0\"><strong>How is a prism different from a pyramid?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-005b413b-c0fe-4962-88af-6480f3eb8cc0\">\n\n<p class=\"eplus-wrapper\">Although both the prism and <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/pyramid\" target=\"_blank\" rel=\"noopener\" title=\"\">pyramid<\/a> are three-dimensional, a prism has two identical bases whereas a pyramid has only one 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-1-005b413b-c0fe-4962-88af-6480f3eb8cc0\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-005b413b-c0fe-4962-88af-6480f3eb8cc0\"><strong>Can we regard a cylinder as a prism?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-005b413b-c0fe-4962-88af-6480f3eb8cc0\">\n\n<p class=\"eplus-wrapper\">Since a prism is a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/polyhedron\" target=\"_blank\" rel=\"noopener\" title=\"\">polyhedron <\/a>with all flat faces, a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/cylinder\" target=\"_blank\" rel=\"noopener\" title=\"\">cylinder<\/a> is not a prism\u2014it has <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/curved-surface\" target=\"_blank\" rel=\"noopener\" title=\"\">curved surface<\/a>.<\/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-2-005b413b-c0fe-4962-88af-6480f3eb8cc0\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-005b413b-c0fe-4962-88af-6480f3eb8cc0\"><strong>If the side faces of a prism are rectangles, then what is such a prism called?<\/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-2-005b413b-c0fe-4962-88af-6480f3eb8cc0\">\n\n<p class=\"eplus-wrapper\">In this case, we will call a prism a right prism.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>What is a Prism? A prism is a solid shape that is bound on all its sides by plane faces. There are two types of faces in a prism. The top and bottom faces are identical and are called bases. A prism is named after the shape of these bases. For example, if a prism &#8230; <a title=\"Prism &#8211; Definition, Examples, Examples, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/prism\" aria-label=\"More on Prism &#8211; Definition, Examples, 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-1739","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\/1739","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=1739"}],"version-history":[{"count":17,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1739\/revisions"}],"predecessor-version":[{"id":40652,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1739\/revisions\/40652"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1739"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1739"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1739"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}