{"id":33863,"date":"2023-12-26T12:15:06","date_gmt":"2023-12-26T12:15:06","guid":{"rendered":"https:\/\/www.greatassignmenthelp.com\/questions\/?p=33863"},"modified":"2023-12-26T12:15:12","modified_gmt":"2023-12-26T12:15:12","slug":"rectangular-prism","status":"publish","type":"post","link":"https:\/\/www.greatassignmenthelp.com\/questions\/rectangular-prism\/","title":{"rendered":"Rectangular Prism: Definition and Example"},"content":{"rendered":"

Answer: Rectangular Prism<\/b><\/span><\/span><\/span><\/h2>\n

Rectangular prisms are three-dimensional shapes with six faces. The top, bottom, and lateral faces of a prism are all rectangles, and all pairs of opposing faces of the prism are congruent. Rectangular prism have surface area and volume, just like any other three-dimensional form. The term “cuboid” also applies to rectangular prisms. <\/span><\/span><\/p>\n

Rectangular prism specifications include:<\/b><\/span><\/span><\/h2>\n
    \n
  • Have three dimensions: height, width, and depth.<\/span><\/span><\/li>\n
  • Exhibit parallel, polygonal faces<\/span><\/span><\/li>\n
  • Take the shape of a hexahedron.<\/span><\/span><\/li>\n
  • Possess sides that are structured like a parallelogram; this is significant since it sets a rectangular prism apart from a triangular prism.<\/span><\/span><\/li>\n
  • Consist of 8 vertices and 12 edges. <\/span><\/span><\/li>\n<\/ul>\n

    Characteristics of a Rectangular Prism:<\/b><\/span><\/span><\/span><\/h2>\n
      \n
    • Six rectangular faces, twelve sides, and eight vertices form a rectangular prism.<\/span><\/span><\/li>\n
    • A rectangular prism has congruent opposite sides on all of them.<\/span><\/span><\/li>\n
    • There is a rectangular cross-section\u00a0in a rectangular prism.<\/span><\/span><\/li>\n
    • A straight line joining two sides defines a 3D shape’s edge.<\/span><\/span><\/li>\n
    • To make it easier for us to recognize particular edges or faces, you can label the vertices, or corners, of a rectangular prism.<\/span><\/span><\/li>\n<\/ul>\n

      Different Types of Rectangular Prism <\/b><\/span><\/span><\/span><\/h2>\n

      Oblique and cuboid are the two types of rectangular prisms. Let\u2019s know about them in brief.<\/span><\/span><\/p>\n

        \n
      • Oblique:<\/b> The faces of an oblique rectangular prism are not parallel to the bases. To put it another way, this prism’s faces are parallelograms. <\/span><\/span><\/li>\n
      • Cuboid: <\/b>A cuboid has equal and parallel opposing faces, and all of its angles are right angles. An alternative name for this three-dimensional structure is a right rectangular prism. It should be noted that not all cuboids are cubes, but cubes are cuboids. Refrigerators and aquariums are two real-world instances of right rectangular prisms\/cuboids. <\/span><\/span><\/li>\n<\/ul>\n

        Volume and Surface Area of a Rectangular Prism<\/b><\/span><\/span><\/h2>\n

        There are three dimensions to the rectangular prism. It indicates that it has a volume and a surface area.<\/span><\/span><\/p>\n

        The following formula can be used to determine a rectangular prism’s surface area as all of its sides are rectangles and its opposite faces are equal:<\/span><\/span><\/p>\n

        Total Surface Area: <\/b><\/span><\/span>2 (width x length) + (length x height) + (width x height)<\/span><\/span><\/p>\n

        Lateral Surface Area: <\/b><\/span><\/span>2 (length x height) + (width x height)<\/span><\/span><\/p>\n

        Multiplying each of the three dimensions gives the volume of a rectangular prism.<\/span><\/span><\/p>\n

        Formulas for Rectangular Prisms<\/b><\/span><\/span><\/h2>\n

        We will now get the formulas for a rectangular prism’s surface area and volume. Let us assume a rectangular prism with dimensions of length ‘l’, width ‘w’, and height ‘h’ for each of these. Let’s assume that ‘l’ and ‘w’ represent the base’s measurements along these lines. The following are the formulas for a rectangular prism’s surface area and volume.<\/span><\/span><\/p>\n

        Volume, V = lwh<\/span><\/span><\/p>\n

        Total surface area = 2 (l+wh+hl)<\/span><\/span><\/p>\n

        Lateral surface area = 2 (wh+hl)<\/span><\/span><\/p>\n

        Rectangular Prism: Solved Examples<\/b><\/u><\/span><\/span><\/h2>\n

        Example 1<\/b><\/u><\/span><\/span><\/p>\n

        Ques:<\/b><\/span><\/span> Given a right rectangular prism with dimensions of 5 feet by 4 feet for width, 6 feet for height, and 4 feet for length, what is the total area?<\/span><\/span><\/p>\n

        Sol: Total surface area = 2 (WL) + (LH) + (WH)<\/b><\/span><\/span><\/p>\n

        2 (45) + (56) + (46)<\/span><\/span><\/p>\n

        2 (20) + (30) + (24)<\/span><\/span><\/p>\n

        148 ft2<\/span><\/span><\/p>\n

        Example 2<\/b><\/u><\/span><\/span><\/p>\n

        Ques:<\/b><\/span><\/span> Find the lateral and total surface area of a rectangular prism with length 16 cm, width 12.5 cm, and height 10 cm.<\/span><\/span><\/p>\n

        Sol:<\/b><\/span><\/span> Given what is known,<\/span><\/span><\/p>\n

        Lateral Surface Area (LSA) is equal to 2(wh + hl), where w = 12.5 cm, h = 10 cm, and l = 16 cm. <\/span><\/span><\/p>\n

        Therefore, LSA is equal to 2(12.5 \u00d7 10 + 10 \u00d7 16).<\/span><\/span><\/p>\n

        = 570 square centimeters.<\/span><\/span><\/p>\n

        The formula for Total Surface Area (TSA) is 2(lw + wh + hl), where l is 16 cm, w is 12.5 cm, and h is 10 cm.<\/span><\/span><\/p>\n

        \u2228 TSA = 2(16 \u00d7 12.5 + 12.5 \u00d7 10 + 10 \u00d7 16)<\/span><\/span><\/p>\n

        = 970 cm2<\/span><\/span><\/p>\n

        Example 3<\/b><\/u><\/span><\/span><\/p>\n

        Ques:<\/b><\/span><\/span> Determine the volume of a rectangular prism using the following measurements: 7 cm for length, 6 cm for width, and 4 cm for height.<\/span><\/span><\/p>\n

        Sol:<\/b><\/span><\/span> Given, <\/span><\/span><\/p>\n

        length, l = 7 cm.<\/span><\/span><\/p>\n

        breadth, w = 6 cm<\/span><\/span><\/p>\n

        Height: h = 4 cm<\/span><\/span><\/p>\n

        According to l.w.h., the volume of a rectangular prism<\/span><\/span><\/p>\n

        L x W x H is the cubic unit of V.<\/span><\/span><\/p>\n

        Enter the values for l, w, and h in the formula.<\/span><\/span><\/p>\n

        V is equivalent to 7 x 6 x 4 cm^.<\/span><\/span><\/p>\n

        Consequently, 168 cm\u00b3 is the volume of a rectangular prism.<\/span><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

        Answer: Rectangular Prism Rectangular prisms are three-dimensional shapes with six faces. The top, bottom, and lateral faces of a prism are all rectangles, and all […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"yoast_head":"\nRectangular Prism: Definition and Example<\/title>\n<meta name=\"description\" content=\"Rectangular prisms are three-dimensional shapes with six faces. The top, bottom, and lateral faces of a prism are all rectangles, and all pairs of opposing faces of the prism are congruent.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.greatassignmenthelp.com\/questions\/rectangular-prism\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Rectangular Prism: Definition and Example\" \/>\n<meta property=\"og:description\" content=\"Rectangular prisms are three-dimensional shapes with six faces. The top, bottom, and lateral faces of a prism are all rectangles, and all pairs of opposing faces of the prism are congruent.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.greatassignmenthelp.com\/questions\/rectangular-prism\/\" \/>\n<meta property=\"og:site_name\" content=\"Questions - Greatassignmenthelp.com\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/Greatassignmenthelpus\" \/>\n<meta property=\"article:published_time\" content=\"2023-12-26T12:15:06+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2023-12-26T12:15:12+00:00\" \/>\n<meta name=\"author\" content=\"Jay Cooper\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@assignmentgreat\" \/>\n<meta name=\"twitter:site\" content=\"@assignmentgreat\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Jay Cooper\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/rectangular-prism\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/rectangular-prism\/\"},\"author\":{\"name\":\"Jay Cooper\",\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#\/schema\/person\/3a1b105fd8c3db97e016fb16652b9b3e\"},\"headline\":\"Rectangular Prism: Definition and Example\",\"datePublished\":\"2023-12-26T12:15:06+00:00\",\"dateModified\":\"2023-12-26T12:15:12+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/rectangular-prism\/\"},\"wordCount\":641,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#organization\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/www.greatassignmenthelp.com\/questions\/rectangular-prism\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/rectangular-prism\/\",\"url\":\"https:\/\/www.greatassignmenthelp.com\/questions\/rectangular-prism\/\",\"name\":\"Rectangular Prism: Definition and Example\",\"isPartOf\":{\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#website\"},\"datePublished\":\"2023-12-26T12:15:06+00:00\",\"dateModified\":\"2023-12-26T12:15:12+00:00\",\"description\":\"Rectangular prisms are three-dimensional shapes with six faces. The top, bottom, and lateral faces of a prism are all rectangles, and all pairs of opposing faces of the prism are congruent.\",\"breadcrumb\":{\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/rectangular-prism\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.greatassignmenthelp.com\/questions\/rectangular-prism\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/rectangular-prism\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/www.greatassignmenthelp.com\/questions\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Rectangular Prism: Definition and Example\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#website\",\"url\":\"https:\/\/www.greatassignmenthelp.com\/questions\/\",\"name\":\"Questions - Greatassignmenthelp.com\",\"description\":\"\",\"publisher\":{\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.greatassignmenthelp.com\/questions\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#organization\",\"name\":\"greatassignmenthelp\",\"url\":\"https:\/\/www.greatassignmenthelp.com\/questions\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/www.greatassignmenthelp.com\/questions\/wp-content\/uploads\/2022\/06\/logo-footer.png\",\"contentUrl\":\"https:\/\/www.greatassignmenthelp.com\/questions\/wp-content\/uploads\/2022\/06\/logo-footer.png\",\"width\":159,\"height\":52,\"caption\":\"greatassignmenthelp\"},\"image\":{\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#\/schema\/logo\/image\/\"},\"sameAs\":[\"https:\/\/www.facebook.com\/Greatassignmenthelpus\",\"https:\/\/x.com\/assignmentgreat\",\"https:\/\/www.pinterest.com\/greatassignment\/\",\"https:\/\/www.linkedin.com\/company\/great-assignment-help\/\",\"https:\/\/www.instagram.com\/greatassignmenthelp\"]},{\"@type\":\"Person\",\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#\/schema\/person\/3a1b105fd8c3db97e016fb16652b9b3e\",\"name\":\"Jay Cooper\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/90b1a211fe4bf64a5776d70d26f75d0f?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/90b1a211fe4bf64a5776d70d26f75d0f?s=96&d=mm&r=g\",\"caption\":\"Jay Cooper\"},\"sameAs\":[\"https:\/\/www.greatassignmenthelp.com\/questions\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Rectangular Prism: Definition and Example","description":"Rectangular prisms are three-dimensional shapes with six faces. The top, bottom, and lateral faces of a prism are all rectangles, and all pairs of opposing faces of the prism are congruent.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.greatassignmenthelp.com\/questions\/rectangular-prism\/","og_locale":"en_US","og_type":"article","og_title":"Rectangular Prism: Definition and Example","og_description":"Rectangular prisms are three-dimensional shapes with six faces. The top, bottom, and lateral faces of a prism are all rectangles, and all pairs of opposing faces of the prism are congruent.","og_url":"https:\/\/www.greatassignmenthelp.com\/questions\/rectangular-prism\/","og_site_name":"Questions - Greatassignmenthelp.com","article_publisher":"https:\/\/www.facebook.com\/Greatassignmenthelpus","article_published_time":"2023-12-26T12:15:06+00:00","article_modified_time":"2023-12-26T12:15:12+00:00","author":"Jay Cooper","twitter_card":"summary_large_image","twitter_creator":"@assignmentgreat","twitter_site":"@assignmentgreat","twitter_misc":{"Written by":"Jay Cooper","Est. reading time":"4 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/www.greatassignmenthelp.com\/questions\/rectangular-prism\/#article","isPartOf":{"@id":"https:\/\/www.greatassignmenthelp.com\/questions\/rectangular-prism\/"},"author":{"name":"Jay Cooper","@id":"https:\/\/www.greatassignmenthelp.com\/questions\/#\/schema\/person\/3a1b105fd8c3db97e016fb16652b9b3e"},"headline":"Rectangular Prism: Definition and Example","datePublished":"2023-12-26T12:15:06+00:00","dateModified":"2023-12-26T12:15:12+00:00","mainEntityOfPage":{"@id":"https:\/\/www.greatassignmenthelp.com\/questions\/rectangular-prism\/"},"wordCount":641,"commentCount":0,"publisher":{"@id":"https:\/\/www.greatassignmenthelp.com\/questions\/#organization"},"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/www.greatassignmenthelp.com\/questions\/rectangular-prism\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/www.greatassignmenthelp.com\/questions\/rectangular-prism\/","url":"https:\/\/www.greatassignmenthelp.com\/questions\/rectangular-prism\/","name":"Rectangular Prism: Definition and Example","isPartOf":{"@id":"https:\/\/www.greatassignmenthelp.com\/questions\/#website"},"datePublished":"2023-12-26T12:15:06+00:00","dateModified":"2023-12-26T12:15:12+00:00","description":"Rectangular prisms are three-dimensional shapes with six faces. The top, bottom, and lateral faces of a prism are all rectangles, and all pairs of opposing faces of the prism are congruent.","breadcrumb":{"@id":"https:\/\/www.greatassignmenthelp.com\/questions\/rectangular-prism\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.greatassignmenthelp.com\/questions\/rectangular-prism\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/www.greatassignmenthelp.com\/questions\/rectangular-prism\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/www.greatassignmenthelp.com\/questions\/"},{"@type":"ListItem","position":2,"name":"Rectangular Prism: Definition and Example"}]},{"@type":"WebSite","@id":"https:\/\/www.greatassignmenthelp.com\/questions\/#website","url":"https:\/\/www.greatassignmenthelp.com\/questions\/","name":"Questions - Greatassignmenthelp.com","description":"","publisher":{"@id":"https:\/\/www.greatassignmenthelp.com\/questions\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.greatassignmenthelp.com\/questions\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/www.greatassignmenthelp.com\/questions\/#organization","name":"greatassignmenthelp","url":"https:\/\/www.greatassignmenthelp.com\/questions\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/www.greatassignmenthelp.com\/questions\/#\/schema\/logo\/image\/","url":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-content\/uploads\/2022\/06\/logo-footer.png","contentUrl":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-content\/uploads\/2022\/06\/logo-footer.png","width":159,"height":52,"caption":"greatassignmenthelp"},"image":{"@id":"https:\/\/www.greatassignmenthelp.com\/questions\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/Greatassignmenthelpus","https:\/\/x.com\/assignmentgreat","https:\/\/www.pinterest.com\/greatassignment\/","https:\/\/www.linkedin.com\/company\/great-assignment-help\/","https:\/\/www.instagram.com\/greatassignmenthelp"]},{"@type":"Person","@id":"https:\/\/www.greatassignmenthelp.com\/questions\/#\/schema\/person\/3a1b105fd8c3db97e016fb16652b9b3e","name":"Jay Cooper","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/www.greatassignmenthelp.com\/questions\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/90b1a211fe4bf64a5776d70d26f75d0f?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/90b1a211fe4bf64a5776d70d26f75d0f?s=96&d=mm&r=g","caption":"Jay Cooper"},"sameAs":["https:\/\/www.greatassignmenthelp.com\/questions"]}]}},"_links":{"self":[{"href":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-json\/wp\/v2\/posts\/33863"}],"collection":[{"href":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-json\/wp\/v2\/comments?post=33863"}],"version-history":[{"count":1,"href":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-json\/wp\/v2\/posts\/33863\/revisions"}],"predecessor-version":[{"id":33864,"href":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-json\/wp\/v2\/posts\/33863\/revisions\/33864"}],"wp:attachment":[{"href":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-json\/wp\/v2\/media?parent=33863"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-json\/wp\/v2\/categories?post=33863"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-json\/wp\/v2\/tags?post=33863"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}