{"id":1776,"date":"2022-04-22T10:28:49","date_gmt":"2022-04-22T10:28:49","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1776"},"modified":"2024-01-23T12:27:21","modified_gmt":"2024-01-23T12:27:21","slug":"right-rectangular-prism-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/right-rectangular-prism","title":{"rendered":"What is a Right Rectangular Prism? Definition With Examples"},"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-b86baf63-e1e9-4406-b6d6-ffee4f408324\" 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\/right-rectangular-prism#0-what-is-a-right-rectangular-prism>What Is a Right Rectangular Prism?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/right-rectangular-prism#1-properties-of-a-right-rectangular-prism->Properties of a Right Rectangular Prism:<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/right-rectangular-prism#2-surface-area-and-volume-of-a-right-rectangular-prism->Surface Area and Volume of a Right Rectangular Prism<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/right-rectangular-prism#4-solved-examples>Solved Examples<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/right-rectangular-prism#5-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/right-rectangular-prism#6-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-a-right-rectangular-prism\">What Is a Right Rectangular Prism?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">In geometry, a rectangular prism can be defined as a&nbsp;<a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/3-dimensional\">3-dimensional<\/a>&nbsp;solid shape that has 6 faces with its base as rectangles. Rectangular prisms can be of two types, namely right rectangular prisms and non-right (oblique) rectangular prisms.<\/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\/01\/right-and-non-right-rectangular-prisms.png\" alt=\"Right and non-right rectangular prisms\" class=\"wp-image-37683\" title=\"Right and non-right rectangular prisms\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/right-and-non-right-rectangular-prisms.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/right-and-non-right-rectangular-prisms-300x151.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">The right rectangular prism has two parallel end faces and four lateral faces, each one of which is a rectangle; the faces are perpendicular to each of its bases. The faces of a non-right rectangular prism (oblique prism) are parallelograms.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">A right rectangular prism is also called a cuboid.<\/p>\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\/01\/a-solid-cuboid.png\" alt=\"A solid cuboid\" class=\"wp-image-37685\" title=\"A solid cuboid\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/a-solid-cuboid.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/a-solid-cuboid-300x152.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">We can find the&nbsp;<a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/shape\">shape<\/a>&nbsp;of a right rectangular prism all around us\u2014in a truck, a chest of drawers, and an aquarium.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"285\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/real-life-examples-of-right-rectangular-prisms.png\" alt=\"Real life examples of right rectangular prisms\" class=\"wp-image-37686\" title=\"Real life examples of right rectangular prisms\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/real-life-examples-of-right-rectangular-prisms.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/real-life-examples-of-right-rectangular-prisms-300x138.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/count-objects-in-rectangular-arrays\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/count_comp_hoppys_list_10_gm.png\" alt=\"Count Objects in Rectangular Arrays Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Count Objects in Rectangular Arrays Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-right-angles\" 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_identify_right_angle_1_pt.png\" alt=\"Find Right Angles 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 Right Angles 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-if-the-given-angle-is-right-acute-or-obtuse\" 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_identify_type_of_angle_pt.png\" alt=\"Identify if the Given Angle is Right, Acute or Obtuse 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 if the Given Angle is Right, Acute or Obtuse 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-right-angles\" 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_identify_right_angle_2_pt.png\" alt=\"Identify Right Angles 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 Right Angles 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\/select-the-right-unit\" 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\/measurement_choose_right_unit_pt.png\" alt=\"Select the Right Unit 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\">Select the Right Unit 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-right-rectangular-prism-\"><strong><br><\/strong><strong>Properties of a Right Rectangular Prism:<\/strong><\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">It has 8 vertices, 12 sides, and 6 rectangular faces.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">All its opposite faces are congruent.&nbsp;<\/li>\n\n\n\n<li class=\"eplus-wrapper\">The angle between its base and sides is 90 degrees or right angle.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">All its faces are rectangles and parallel.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-surface-area-and-volume-of-a-right-rectangular-prism-\"><strong>Surface Area and Volume of a Right Rectangular Prism<\/strong><\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Let\u2019s consider this right rectangular prism with the marked length, width, and height.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"317\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/a-cuboid-with-marked-length-width-and-height.png\" alt=\"A cuboid with marked length, width, and height\" class=\"wp-image-37687\" title=\"A cuboid with marked length, width, and height\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/a-cuboid-with-marked-length-width-and-height.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/a-cuboid-with-marked-length-width-and-height-300x153.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Since all its faces are rectangles and opposite faces are equal, the surface area of a right rectangular prism can be calculated using the following formula:<\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes eplus-wrapper\"><table class=\"wj-table-class\"><tbody><tr><td>Lateral Surface Area = 2 \u00d7 height (length + width)<br><br><br>Total Surface Area = 2&nbsp;{( width \u00d7 length )+( length \u00d7 height ) + (width \u00d7 height )}<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/volume\">Volume<\/a>&nbsp;of a right rectangular prism is obtained by multiplying all three dimensions\u2014length, height, and width\u2014or by multiplying the base area with its height.<\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes eplus-wrapper\"><table class=\"wj-table-class\"><tbody><tr><td>Volume = length \u00d7&nbsp; width \u00d7 height<br><br>OR <br><br>Volume = Area of base \u00d7 height<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-fun-facts\">Fun Facts<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Rectangular prisms are the most commonly used prisms in real life, especially in packaging\u2014from cereal boxes to cartons and parcels delivered by mail.&nbsp;&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-solved-examples\">Solved Examples<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 1: <\/strong>Find the volume of the given cuboid.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"295\" height=\"195\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/a-cuboid-with-length-width-and-height-marked-as-15-cm-3-cm-and-7cm.png\" alt=\"A cuboid with length, width, and height marked as 15 cm, 3 cm, and 7cm\" class=\"wp-image-37688\" title=\"A cuboid with length, width, and height marked as 15 cm, 3 cm, and 7cm\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><em>length<\/em> = 15 cm; <em>width<\/em> = 3 cm; <em>height<\/em> = 7 cm<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Volume = <em>length<\/em> \u00d7 <em>width<\/em> \u00d7 <em>height<\/em><\/p>\n\n\n\n<p class=\"eplus-wrapper\">= 15 \u00d7 3 \u00d7 7 cm<sup>3<\/sup><\/p>\n\n\n\n<p class=\"eplus-wrapper\">= 315 cm<sup>3<\/sup><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 2: <\/strong>Find the volume of the rectangular prism with a base area of 105 square meters and a height of 4 meters.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Volume = Area of base \u00d7 height<\/p>\n\n\n\n<p class=\"eplus-wrapper\">= 105 \u00d7 4 m<sup>3<\/sup><\/p>\n\n\n\n<p class=\"eplus-wrapper\">= 420 m<sup>3<\/sup><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 3: <\/strong>A foam company manufactures mattresses. Their king-sized mattress is approximately 183 cm by 183 cm, with a thickness of 12.5 cm. Find the total surface area of the mattress.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;<strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><em>length<\/em> = 183 cm<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><em>width<\/em> = 183 cm<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><em>height<\/em> = 12.5 cm<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Total surface area = 2&nbsp;{(width \u00d7 length) + (length \u00d7 height) + (width \u00d7 height)}<\/p>\n\n\n\n<p class=\"eplus-wrapper\">= 2&nbsp;{(183 \u00d7 183) + (183 \u00d7 12.5) + (183 \u00d7 12.5)} cm<sup>2<\/sup><\/p>\n\n\n\n<p class=\"eplus-wrapper\">= 2 {33,489 + 2,287.5 + 2,287.5} cm<sup>2<\/sup><\/p>\n\n\n\n<p class=\"eplus-wrapper\">= 2 {38,064} cm<sup>2<\/sup><\/p>\n\n\n\n<p class=\"eplus-wrapper\">= 76,128 cm<sup>2<\/sup><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 4: <\/strong>Find the area of an iron sheet required to construct a closed container of length 5 m, height 6.5 m and width 2.3 m.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">To find the iron sheet required, we need to find the total surface area of a cuboid with the given dimension.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Total surface area = 2&nbsp;{(width \u00d7 length) + (length \u00d7 height) + (width \u00d7 height)}<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong><\/strong><strong> <\/strong>= 2&nbsp;{(2.3 \u00d7 5) + (5 \u00d7 6.5) + (2.3 \u00d7 6.5)} m<sup>2<\/sup><\/p>\n\n\n\n<p class=\"eplus-wrapper\">= 2&nbsp;{(11.5) + (32.5) + (14.95)} m<sup>2<\/sup><\/p>\n\n\n\n<p class=\"eplus-wrapper\">= 2 {58.95} m<sup>2<\/sup><\/p>\n\n\n\n<p class=\"eplus-wrapper\">= 117.9 m<sup>2<\/sup>So, a 117.9 m<sup>2<\/sup> iron sheet is required to construct the container.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><span style=\"color: rgb(9, 10, 74); font-family: inherit; font-size: 24px; font-style: inherit; font-weight: 700; background-color: var(--base-3);\">Practice Problems<\/span><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Lateral surface area = 2 { (L $\\times$ H) + (W $\\times$ H)}<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Lateral surface area = 2 { (4 $\\times$ 9) + (4 $\\times$ 9)}<\/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=\"5-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">What is a Right Rectangular Prism? Meaning, Definition, Examples<\/h2><p style=\"display:none;\">Attend this Quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">A right rectangular prism has ______ edges.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">6<\/div><div class=\"spq_answer_block\" data-value=\"1\">8<\/div><div class=\"spq_answer_block\" data-value=\"2\">12<\/div><div class=\"spq_answer_block\" data-value=\"3\">20<\/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: 12<br\/>A right rectangular prism has 12 edges.<\/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\">What is the horizontal cross-section of a right rectangular prism?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Circle<\/div><div class=\"spq_answer_block\" data-value=\"1\">Parallelogram<\/div><div class=\"spq_answer_block\" data-value=\"2\">Triangle<\/div><div class=\"spq_answer_block\" data-value=\"3\">Rectangle<\/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: Rectangle<br\/>A horizontal cross section of a right rectangular prism is a rectangle in shape.<\/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\">How many small cuboidal boxes, with length 5 cm, width 4 cm, and height 2 cm, can be kept in the cuboidal container of length 35 cm, width 24 cm and height 18 cm?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">378<\/div><div class=\"spq_answer_block\" data-value=\"1\">1,512<\/div><div class=\"spq_answer_block\" data-value=\"2\">756<\/div><div class=\"spq_answer_block\" data-value=\"3\">1,890<\/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: 378<br\/>Number of small cuboidal boxes = $\\frac{35 \u00d7 24 \u00d7 18}{5 \u00d7 4 \u00d7 2}$ = 378<\/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\">Which box will need the least amount of paint? The length, width, and height of boxes are<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Box 1: 7 cm, 14 cm, 9 cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">Box 2: 5 cm, 18 cm, 10 cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">Box 3: 8 cm, 7 cm, 15 cm<\/div><div class=\"spq_answer_block\" data-value=\"3\">Box 4: 4 cm, 9 cm, 20 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: Box 1: 7 cm, 14 cm, 9 cm<br\/>The box that has the least total surface area needs the least amount of paint. So, we need to find the total surface area of each box. Box 1: 574 cm2; Box 2: 640 cm2; Box 3: 562 cm2; Box 4: 592 cm2.<\/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 Right Rectangular Prism? Meaning, Definition, Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Rectangular Prism\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"A right rectangular prism has ______ edges.\",\n                    \"text\": \"A right rectangular prism has ______ edges.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"A right rectangular prism has 12 edges.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n       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},{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the horizontal cross-section of a right rectangular prism?\",\n                    \"text\": \"What is the horizontal cross-section of a right rectangular prism?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"A horizontal cross section of a right rectangular prism is a rectangle in shape.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Circle\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A horizontal cross section of a right rectangular prism is a rectangle in shape.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Parallelogram\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A horizontal cross section of a right rectangular prism is a rectangle in shape.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Triangle\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A horizontal cross section of a right rectangular prism is a rectangle in shape.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Rectangle\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"A horizontal cross section of a right rectangular prism is a rectangle in shape.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"A horizontal cross section of a right rectangular prism is a rectangle in shape.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"How many small cuboidal boxes, with length 5 cm, width 4 cm, and height 2 cm, can be kept in the cuboidal container of length 35 cm, width 24 cm and height 18 cm?\",\n                    \"text\": \"How many small cuboidal boxes, with length 5 cm, width 4 cm, and height 2 cm, can be kept in the cuboidal container of length 35 cm, width 24 cm and height 18 cm?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Number of small cuboidal boxes = $$\\\\frac{35 \u00d7 24 \u00d7 18}{5 \u00d7 4 \u00d7 2}$$ = 378\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1,512\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Number of small cuboidal boxes = $$\\\\frac{35 \u00d7 24 \u00d7 18}{5 \u00d7 4 \u00d7 2}$$ = 378\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"756\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Number of small cuboidal boxes = $$\\\\frac{35 \u00d7 24 \u00d7 18}{5 \u00d7 4 \u00d7 2}$$ = 378\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1,890\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Number of small cuboidal boxes = $$\\\\frac{35 \u00d7 24 \u00d7 18}{5 \u00d7 4 \u00d7 2}$$ = 378\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"378\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Number of small cuboidal boxes = $$\\\\frac{35 \u00d7 24 \u00d7 18}{5 \u00d7 4 \u00d7 2}$$ = 378\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Number of small cuboidal boxes = $$\\\\frac{35 \u00d7 24 \u00d7 18}{5 \u00d7 4 \u00d7 2}$$ = 378\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which box will need the least amount of paint? The length, width, and height of boxes are\",\n                    \"text\": \"Which box will need the least amount of paint? The length, width, and height of boxes are\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The box that has the least total surface area needs the least amount of paint. So, we need to find the total surface area of each box. Box 1: 574 cm2; Box 2: 640 cm2; Box 3: 562 cm2; Box 4: 592 cm2.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Box 2: 5 cm, 18 cm, 10 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The box that has the least total surface area needs the least amount of paint. So, we need to find the total surface area of each box. Box 1: 574 cm2; Box 2: 640 cm2; Box 3: 562 cm2; Box 4: 592 cm2.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Box 3: 8 cm, 7 cm, 15 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The box that has the least total surface area needs the least amount of paint. So, we need to find the total surface area of each box. Box 1: 574 cm2; Box 2: 640 cm2; Box 3: 562 cm2; Box 4: 592 cm2.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Box 4: 4 cm, 9 cm, 20 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The box that has the least total surface area needs the least amount of paint. So, we need to find the total surface area of each box. Box 1: 574 cm2; Box 2: 640 cm2; Box 3: 562 cm2; Box 4: 592 cm2.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Box 1: 7 cm, 14 cm, 9 cm\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The box that has the least total surface area needs the least amount of paint. So, we need to find the total surface area of each box. Box 1: 574 cm2; Box 2: 640 cm2; Box 3: 562 cm2; Box 4: 592 cm2.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The box that has the least total surface area needs the least amount of paint. So, we need to find the total surface area of each box. Box 1: 574 cm2; Box 2: 640 cm2; Box 3: 562 cm2; Box 4: 592 cm2.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-6a533ddd-0d3a-46a7-ae0a-b23189d4fb30\" 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-0-6a533ddd-0d3a-46a7-ae0a-b23189d4fb30\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6a533ddd-0d3a-46a7-ae0a-b23189d4fb30\"><strong><strong>What are the attributes of the right rectangular prism?<\/strong><\/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-0-6a533ddd-0d3a-46a7-ae0a-b23189d4fb30\">\n\n<p>The right rectangular prism has 6 faces, 8 vertices (corners), and 12 edges, and its faces are perpendicular to each of its 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-1-6a533ddd-0d3a-46a7-ae0a-b23189d4fb30\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6a533ddd-0d3a-46a7-ae0a-b23189d4fb30\"><strong><strong>Is the formula for the volume of a right rectangular prism and oblique rectangular prism the same?<\/strong><\/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-1-6a533ddd-0d3a-46a7-ae0a-b23189d4fb30\">\n\n<p>Yes, the formula for volume is the same. Volume = <em>length of base<\/em> \u00d7 <em>width of base<\/em> \u00d7 <em>height<\/em>.<\/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-2-6a533ddd-0d3a-46a7-ae0a-b23189d4fb30\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6a533ddd-0d3a-46a7-ae0a-b23189d4fb30\"><strong><strong>What is the difference between a right rectangular prism and an oblique rectangular prism?<\/strong><\/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-2-6a533ddd-0d3a-46a7-ae0a-b23189d4fb30\">\n\n<p>The right rectangular prism has two parallel end faces and four lateral faces, each one of which is a rectangle; the faces are perpendicular to each of its bases. The faces of a non-right rectangular prism (oblique prism) are parallelograms.<\/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-3-6a533ddd-0d3a-46a7-ae0a-b23189d4fb30\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6a533ddd-0d3a-46a7-ae0a-b23189d4fb30\"><strong><strong>What is the right rectangular prism commonly called?<\/strong><\/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-3-6a533ddd-0d3a-46a7-ae0a-b23189d4fb30\">\n\n<p>The right rectangular prism is commonly called a cuboid.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-4-6a533ddd-0d3a-46a7-ae0a-b23189d4fb30\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6a533ddd-0d3a-46a7-ae0a-b23189d4fb30\"><strong>Are cube and cuboid the same?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-4-6a533ddd-0d3a-46a7-ae0a-b23189d4fb30\">\n\n<p>No, cube and cuboid are not the same. For cubes, all its faces are square while cuboid faces are rectangles in shape.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>What Is a Right Rectangular Prism? In geometry, a rectangular prism can be defined as a&nbsp;3-dimensional&nbsp;solid shape that has 6 faces with its base as rectangles. Rectangular prisms can be of two types, namely right rectangular prisms and non-right (oblique) rectangular prisms. The right rectangular prism has two parallel end faces and four lateral faces, &#8230; <a title=\"What is a Right Rectangular Prism? Definition With Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/right-rectangular-prism\" aria-label=\"More on What is a Right Rectangular Prism? Definition With Examples\">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-1776","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\/1776","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=1776"}],"version-history":[{"count":10,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1776\/revisions"}],"predecessor-version":[{"id":37689,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1776\/revisions\/37689"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1776"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1776"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1776"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}