{"id":263277,"date":"2025-07-21T05:39:50","date_gmt":"2025-07-21T05:39:50","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=263277"},"modified":"2025-07-21T05:39:52","modified_gmt":"2025-07-21T05:39:52","slug":"which-two-solids-have-the-same-number-of-faces","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/21\/which-two-solids-have-the-same-number-of-faces\/","title":{"rendered":"Which two solids have the same number of faces"},"content":{"rendered":"\n<p>Which two solids have the same number of faces? A. A triangular prism and a rectangular prism B. A triangular pyramid and a rectangular prism C. A triangular prism and a square pyramid D. A triangular pyramid and a square pyramid<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The correct answer is <strong>C. A triangular prism and a square pyramid.<\/strong><\/p>\n\n\n\n<p>Here\u2019s the reasoning:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Triangular prism<\/strong>: A triangular prism consists of two triangular bases and three rectangular faces connecting the corresponding sides of the triangles. Therefore, the triangular prism has <strong>5 faces<\/strong> in total: 2 triangular faces and 3 rectangular faces.<\/li>\n\n\n\n<li><strong>Square pyramid<\/strong>: A square pyramid has a square base and four triangular faces that meet at a single apex. Therefore, the square pyramid also has <strong>5 faces<\/strong> in total: 1 square face and 4 triangular faces.<\/li>\n<\/ul>\n\n\n\n<p>So, both the triangular prism and the square pyramid have 5 faces, making option C the correct answer.<\/p>\n\n\n\n<p>Now let\u2019s review the other options:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>A. A triangular prism and a rectangular prism<\/strong>: A triangular prism has 5 faces, as mentioned. A rectangular prism, on the other hand, has 6 faces (4 rectangular faces and 2 square faces). Therefore, these solids do not have the same number of faces.<\/li>\n\n\n\n<li><strong>B. A triangular pyramid and a rectangular prism<\/strong>: A triangular pyramid has 4 faces (3 triangular faces and 1 triangular base). A rectangular prism has 6 faces. Therefore, they do not have the same number of faces.<\/li>\n\n\n\n<li><strong>D. A triangular pyramid and a square pyramid<\/strong>: A triangular pyramid has 4 faces (3 triangular faces and 1 triangular base), while a square pyramid has 5 faces (1 square face and 4 triangular faces). Therefore, these solids do not have the same number of faces either.<\/li>\n<\/ul>\n\n\n\n<p>Thus, the only solids in the options with the same number of faces are the triangular prism and the square pyramid.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-1292.jpeg\" alt=\"\" class=\"wp-image-263281\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Which two solids have the same number of faces? A. A triangular prism and a rectangular prism B. A triangular pyramid and a rectangular prism C. A triangular prism and a square pyramid D. A triangular pyramid and a square pyramid The Correct Answer and Explanation is: The correct answer is C. A triangular prism [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-263277","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/263277","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=263277"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/263277\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=263277"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=263277"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=263277"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}