{"id":1759,"date":"2022-04-22T09:42:08","date_gmt":"2022-04-22T09:42:08","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1759"},"modified":"2023-06-08T08:15:53","modified_gmt":"2023-06-08T08:15:53","slug":"rectangular-prism-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/rectangular-prism","title":{"rendered":"Rectangular Prism &#8211; Definition, Types, Properties, 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<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-30eb4cfd-de84-417e-901c-5cda72a39ceb\" 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\/rectangular-prism#0-real-life-examples>Real-Life Examples<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/rectangular-prism#1-properties-of-a-rectangular-prism>Properties of a Rectangular Prism:<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/rectangular-prism#2-types-of-rectangular-prisms>Types of Rectangular Prisms<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/rectangular-prism#5-solved-examples-on-rectangular-prism>Solved Examples on Rectangular Prism<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/rectangular-prism#6-practice-problems-on-rectangular-prism>Practice Problems on Rectangular Prism<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/rectangular-prism#7-frequently-asked-questions-on-rectangular-prism>Frequently Asked Questions on Rectangular Prism<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<p class=\"eplus-wrapper\"><strong>A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Rectangular-Prism-Cuboid-Box.png\" alt=\"cuboid\" class=\"wp-image-12972\" width=\"680\" height=\"300\" title=\"cuboid\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Rectangular-Prism-Cuboid-Box.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Rectangular-Prism-Cuboid-Box-300x132.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">A cuboid is also called a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-real-life-examples\">Real-Life Examples<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">A pencil box and a book are rectangular prisms. It may surprise you, but your room is also a cuboid or a rectangular prism.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"243\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Rectangular-Prisms-Real-life-Examples-Things-around-us2.png\" alt=\"Rectangular prisms around us\" class=\"wp-image-12974\" title=\"Rectangular prisms around us\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Rectangular-Prisms-Real-life-Examples-Things-around-us2.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Rectangular-Prisms-Real-life-Examples-Things-around-us2-300x107.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/count-objects-in-rectangular-arrays\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/count_comp_hoppys_list_10_gm.png\" alt=\"Count Objects in Rectangular Arrays Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Count Objects in Rectangular Arrays Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"1-properties-of-a-rectangular-prism\">Properties of a Rectangular Prism:<\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">A rectangular prism has 8 vertices, 12 sides and 6 rectangular faces.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">All the opposite faces of a rectangular prism are congruent.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">A rectangular prism has a rectangular cross section.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-types-of-rectangular-prisms\">Types of Rectangular Prisms<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">There are two types of rectangular prisms:&nbsp;<\/p>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/right-rectangular-prism\" target=\"_blank\" rel=\"noopener\" title=\"\">Right Rectangular Prism<\/a>: <\/strong>The angle formed by the faces with any of its bases is 90\u00b0 or a right angle. All the faces, including the lateral ones, are rectangular.<br><\/li>\n\n\n\n<li class=\"eplus-wrapper\"><strong>Non-Right (Oblique) Rectangular Prism: <\/strong>The faces of such a prism are not at <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/right-angle\" target=\"_blank\" rel=\"noopener\" title=\"\">right angles<\/a> to the bases. The shape of each face is more like a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/parallelogram\" target=\"_blank\" rel=\"noopener\" title=\"\">parallelogram<\/a> than a perfect <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/rectangle\" target=\"_blank\" rel=\"noopener\" title=\"\">rectangle<\/a>.<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-surface-area-and-volume-of-a-rectangular-prism\">Surface Area and Volume of a Rectangular Prism:<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The rectangular prism has three dimensions. It means that it has a surface area and volume.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"300\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/rectangular3.png\" alt=\"The rectangular prism has three dimensions\" class=\"wp-image-12975\" title=\"The rectangular prism has three dimensions\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/rectangular3.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/rectangular3-300x132.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Since all the faces of a rectangular prism are rectangles and opposite faces are equal, the surface area of a rectangular prism can be calculated using the following formula:<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Total Surface Area<\/strong> $= 2 {(\\text{width} \\times \\text{length} ) + (\\text{length} \\times \\text{height}) + (\\text{width} \\times \\text{height})}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Lateral Surface Area<\/strong> $= 2 {( \\text{length} \\times \\text{height} ) + (\\text{width} \\times \\text{height} )}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Volume of a rectangular prism is simply obtained by multiplying all three dimensions $\u2013$ length, height and width.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Volume<\/strong> $= \\text{length} \\times \\text{width} \\times \\text{height}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-fun-facts\">Fun Facts<\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><tbody><tr><td>\u2013 Rectangular prisms are the most commonly used prisms in real life, especially in packaging, from cereal boxes to cartons and parcels delivered by mail.\u00a0<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-solved-examples-on-rectangular-prism\">Solved Examples on Rectangular Prism<\/h2>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Find the volume of a right rectangular prism whose length <\/strong>$= 8$<strong> cm, width <\/strong>$= 5$<strong> cm, and height <\/strong>$= 16$<strong> cm.<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper\">Volume $=$ (LWH)<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= 8516$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= 640$ cm<sup>3<\/sup><\/p>\n\n\n\n<ol start=\"2\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>What is the total surface area of a right rectangular prism with length <\/strong>$= 5$<strong> feet, width <\/strong>$= 4$<strong> feet, and height <\/strong>$= 6$<strong> feet.&nbsp;<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper\">Total surface area $= 2 { (\\text{WL})+(\\text{LH})+(\\text{WH})}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Total surface area $= 2 {(45)+(56)+(46)}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= 2(20+30+24)$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= 148$ ft<sup>2<\/sup><\/p>\n\n\n\n<ol start=\"3\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>The dimensions of a rectangular prism are length = 2.5 cm, width = 4.5 cm, and height = 1.5 cm. Find the volume.<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper\">Volume $=$ LWH<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= 2.5 4.5 1.5$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$=&nbsp; 16.875$ cm<sup>3<\/sup><\/p>\n\n\n\n<ol start=\"4\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>For a rectangular prism, length <\/strong>$= 4$<strong> feet, width <\/strong>$= 4$<strong> feet and height <\/strong>$= 9$<strong> feet. Find the lateral surface area.<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper\">Lateral surface area $= 2 { (\\text{LH})+(\\text{WH})}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Lateral surface area $= 2 { (49)+(49)}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= 2 ( 36+36 ) = 144$ ft<sup>2<\/sup><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-practice-problems-on-rectangular-prism\">Practice Problems on Rectangular Prism<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">What is a Rectangular Prism? Definition With Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">What is the volume of a rectangular prism whose dimensions are length $= 2$ cm, width $= 2$ cm, and height $= 4$ cm?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$16 \\text{cm}^3$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$12 \\text{cm}^3$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$44 \\text{cm}^3$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$10 \\text{cm}^3$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $16 \\text{cm}^3$<br\/>Volume $= 2 \\times 2 \\times 4 = 16 \\text{cm}^3$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">The volume of a rectangular prism is $50 \\text{cm}^3$. Also, length $= 2$ cm and width $= 5$ cm. What is its height?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">45 cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">3 cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">5 cm<\/div><div class=\"spq_answer_block\" data-value=\"3\">9 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: 5 cm<br\/>$h$ $= \\frac{V}{(l \\times w)} =\\frac{50}{(2\\times5)}=5$ cm <\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">The dimensions of a rectangular prism are length $= 4$ cm, width $= 6$ cm and height $= 10$ cm. What is the total surface area?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$248 \\text{cm}^2$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$124 \\text{cm}^2$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$100 \\text{cm}^2$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$50 \\text{cm}^2$<\/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: $248 \\text{cm}^2$<br\/>Total Surface Area $=$ $2{(4\\times6)+(6\\times10)+(10\\times4)} =248 \\text{cm}^2$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">The dimensions of a rectangular prism are length $= 5$ cm, width $= 6$ cm and height $= 7$ cm. What is the lateral surface area?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$248 \\text{cm}^2$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$154 \\text{cm}^2$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$100 \\text{cm}^2$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$50 \\text{cm}^2$<\/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: $154 \\text{cm}^2$<br\/>Lateral Surface Area $=$ $2\\times{ (5\\times7)+(6\\times7) } = 154 \\text{cm}^2$<\/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 a Rectangular Prism? 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What is its height?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$h$$ $$= \\\\frac{V}{(l \\\\times w)} =\\\\frac{50}{(2\\\\times5)}=5$$ cm \"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"45 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$h$$ $$= \\\\frac{V}{(l \\\\times w)} =\\\\frac{50}{(2\\\\times5)}=5$$ cm \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"3 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$h$$ $$= \\\\frac{V}{(l \\\\times w)} =\\\\frac{50}{(2\\\\times5)}=5$$ cm \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"9 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$h$$ $$= \\\\frac{V}{(l \\\\times w)} =\\\\frac{50}{(2\\\\times5)}=5$$ cm \"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"5 cm\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$h$$ $$= \\\\frac{V}{(l \\\\times w)} =\\\\frac{50}{(2\\\\times5)}=5$$ cm\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$h$$ $$= \\\\frac{V}{(l \\\\times w)} =\\\\frac{50}{(2\\\\times5)}=5$$ cm\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The dimensions of a rectangular prism are length $$= 4$$ cm, width $$= 6$$ cm and height $$= 10$$ cm. What is the total surface area?\",\n                    \"text\": \"The dimensions of a rectangular prism are length $$= 4$$ cm, width $$= 6$$ cm and height $$= 10$$ cm. What is the total surface area?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Total Surface Area $$=$$ $$2{(4\\\\times6)+(6\\\\times10)+(10\\\\times4)} =248 \\\\text{cm}^2$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$124 \\\\text{cm}^2$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Total Surface Area $$=$$ $$2{(4\\\\times6)+(6\\\\times10)+(10\\\\times4)} =248 \\\\text{cm}^2$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$100 \\\\text{cm}^2$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Total Surface Area $$=$$ $$2{(4\\\\times6)+(6\\\\times10)+(10\\\\times4)} =248 \\\\text{cm}^2$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$50 \\\\text{cm}^2$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Total Surface Area $$=$$ $$2{(4\\\\times6)+(6\\\\times10)+(10\\\\times4)} =248 \\\\text{cm}^2$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$248 \\\\text{cm}^2$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Total Surface Area $$=$$ $$2{(4\\\\times6)+(6\\\\times10)+(10\\\\times4)} =248 \\\\text{cm}^2$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Total Surface Area $$=$$ $$2{(4\\\\times6)+(6\\\\times10)+(10\\\\times4)} =248 \\\\text{cm}^2$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The dimensions of a rectangular prism are length $$= 5$$ cm, width $$= 6$$ cm and height $$= 7$$ cm. What is the lateral surface area?\",\n                    \"text\": \"The dimensions of a rectangular prism are length $$= 5$$ cm, width $$= 6$$ cm and height $$= 7$$ cm. What is the lateral surface area?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Lateral Surface Area $$=$$ $$2\\\\times{ (5\\\\times7)+(6\\\\times7) } = 154 \\\\text{cm}^2$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$248 \\\\text{cm}^2$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Lateral Surface Area $$=$$ $$2\\\\times{ (5\\\\times7)+(6\\\\times7) } = 154 \\\\text{cm}^2$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$100 \\\\text{cm}^2$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Lateral Surface Area $$=$$ $$2\\\\times{ (5\\\\times7)+(6\\\\times7) } = 154 \\\\text{cm}^2$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$50 \\\\text{cm}^2$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Lateral Surface Area $$=$$ $$2\\\\times{ (5\\\\times7)+(6\\\\times7) } = 154 \\\\text{cm}^2$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$154 \\\\text{cm}^2$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Lateral Surface Area $$=$$ $$2\\\\times{ (5\\\\times7)+(6\\\\times7) } = 154 \\\\text{cm}^2$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Lateral Surface Area $$=$$ $$2\\\\times{ (5\\\\times7)+(6\\\\times7) } = 154 \\\\text{cm}^2$$\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-frequently-asked-questions-on-rectangular-prism\">Frequently Asked Questions on Rectangular Prism<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-6455163c-13f7-4daf-bc3f-70bc4e06a7ef\" 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-0-6455163c-13f7-4daf-bc3f-70bc4e06a7ef\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6455163c-13f7-4daf-bc3f-70bc4e06a7ef\"><strong>How many bases does a rectangular prism have?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-6455163c-13f7-4daf-bc3f-70bc4e06a7ef\">\n\n<p>A rectangular prism has two congruent and parallel rectangular bases.<\/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-1-6455163c-13f7-4daf-bc3f-70bc4e06a7ef\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6455163c-13f7-4daf-bc3f-70bc4e06a7ef\"><strong>What is the net of a rectangular prism used for?<\/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-1-6455163c-13f7-4daf-bc3f-70bc4e06a7ef\">\n\n<p>The net of the rectangular prism is used to find the total surface area.<\/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-2-6455163c-13f7-4daf-bc3f-70bc4e06a7ef\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6455163c-13f7-4daf-bc3f-70bc4e06a7ef\"><strong>Can a right rectangular prism have a square face?<\/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-2-6455163c-13f7-4daf-bc3f-70bc4e06a7ef\">\n\n<p>Yes. Some prisms are named according to special properties. A right rectangular prism with a square base is called a right square prism.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-6455163c-13f7-4daf-bc3f-70bc4e06a7ef\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6455163c-13f7-4daf-bc3f-70bc4e06a7ef\"><strong>What makes a right rectangular prism different from an oblique 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-3-6455163c-13f7-4daf-bc3f-70bc4e06a7ef\">\n\n<p>The bases of the right rectangular prism are perpendicular to each other. Whereas the bases of the oblique rectangular prism are not perpendicular.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also called a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same. Real-Life Examples A pencil box and a book are rectangular prisms. It may surprise you, but your room is also &#8230; <a title=\"Rectangular Prism &#8211; Definition, Types, Properties, Examples, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/rectangular-prism\" aria-label=\"More on Rectangular Prism &#8211; Definition, Types, Properties, Examples, FAQs\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-1759","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\/1759","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=1759"}],"version-history":[{"count":39,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1759\/revisions"}],"predecessor-version":[{"id":30237,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1759\/revisions\/30237"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1759"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1759"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1759"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}