{"id":255928,"date":"2025-07-13T11:35:22","date_gmt":"2025-07-13T11:35:22","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=255928"},"modified":"2025-07-13T11:35:24","modified_gmt":"2025-07-13T11:35:24","slug":"a-net-of-a-triangular-pyramid-is-shown-below-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/13\/a-net-of-a-triangular-pyramid-is-shown-below-2\/","title":{"rendered":"A net of a triangular pyramid is shown below."},"content":{"rendered":"\n<p>A net of a triangular pyramid is shown below. The base and faces are congruent: 4.3 m 5 m Problem What is the surface area in square meters, of the 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\/image-465.png\" alt=\"\" class=\"wp-image-255929\"\/><\/figure>\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 43 square meters.<\/p>\n\n\n\n<p>To find the surface area of the pyramid, we need to calculate the total area of all its faces. The image displays the pyramid&#8217;s net, which is the shape made by unfolding the three dimensional pyramid into a flat, two dimensional figure. The total area of this net is the surface area of the pyramid.<\/p>\n\n\n\n<p>The problem states that the base and the faces of the pyramid are congruent. A triangular pyramid has one triangular base and three triangular side faces, for a total of four surfaces. The fact that they are all congruent means the net is composed of four identical triangles.<\/p>\n\n\n\n<p>The diagram provides the dimensions for one of these triangles. We can calculate its area using the standard formula for the area of a triangle:<br>Area = (1\/2) \u00d7 base \u00d7 height<\/p>\n\n\n\n<p>According to the diagram, the dimensions are:<br>Base (b) = 5 meters<br>Height (h) = 4.3 meters<\/p>\n\n\n\n<p>Plugging these values into the formula gives us the area of a single triangle:<br>Area of one triangle = (1\/2) \u00d7 5 m \u00d7 4.3 m<br>Area of one triangle = 2.5 m \u00d7 4.3 m<br>Area of one triangle = 10.75 square meters<\/p>\n\n\n\n<p>Since the pyramid is made of four of these identical triangles, we find the total surface area by multiplying the area of one triangle by four.<br>Total Surface Area = Area of one triangle \u00d7 4<br>Total Surface Area = 10.75 m\u00b2 \u00d7 4<br>Total Surface Area = 43 m\u00b2<\/p>\n\n\n\n<p>Thus, the surface area of the pyramid is 43 square meters.<\/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-banner6-526.jpeg\" alt=\"\" class=\"wp-image-255930\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>A net of a triangular pyramid is shown below. The base and faces are congruent: 4.3 m 5 m Problem What is the surface area in square meters, of the pyramid? The Correct Answer and Explanation is: The correct answer is 43 square meters. To find the surface area of the pyramid, we need to [&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-255928","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/255928","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=255928"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/255928\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=255928"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=255928"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=255928"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}