{"id":184893,"date":"2025-01-21T18:16:24","date_gmt":"2025-01-21T18:16:24","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=184893"},"modified":"2025-01-21T18:16:27","modified_gmt":"2025-01-21T18:16:27","slug":"find-the-surface-area-of-the-regular-pyramid","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/01\/21\/find-the-surface-area-of-the-regular-pyramid\/","title":{"rendered":"Find The Surface Area Of The Regular Pyramid"},"content":{"rendered":"\n<p>Find The Surface Area Of The Regular Pyramid. Round Your Answer To The Nearest Tenth (One Decimal Place). SA=B+0.5p\/ 2 Ft SA= _ Blank 1: Question 2 (1 Point) Find The Surface Area Of The Regular Pyramid. Round Your Answer To The Nearest Tenth (One Decimal Place). SA = B +0.5p\/ SA = Cma Blank 1: Question 3 (1 Point) Find The Surface<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>To find the surface area ((SA)) of a regular pyramid, the formula is:<\/p>\n\n\n\n<p>[<br>SA = B + \\frac{1}{2}P \\cdot l<br>]<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(B) is the area of the base.<\/li>\n\n\n\n<li>(P) is the perimeter of the base.<\/li>\n\n\n\n<li>(l) is the slant height of the pyramid.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step-by-Step Process:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Identify Base Area ((B)):<\/strong><br>Calculate the area of the base using its shape. For example:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If the base is a square with side length (s), then (B = s^2).<\/li>\n\n\n\n<li>If the base is a triangle, use (B = \\frac{1}{2} \\cdot \\text{base} \\cdot \\text{height}).<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Find Perimeter ((P)):<\/strong><br>Calculate the total perimeter of the base. For example:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>For a square base with side length (s), (P = 4s).<\/li>\n\n\n\n<li>For a triangle, add up all side lengths.<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Determine Slant Height ((l)):<\/strong><br>The slant height is typically given or can be found using the Pythagorean theorem if the pyramid height ((h)) and half the base diagonal are known.<\/li>\n\n\n\n<li><strong>Substitute Values into the Formula:<\/strong><br>Plug the values of (B), (P), and (l) into the formula and calculate the surface area.<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Example Problem:<\/h3>\n\n\n\n<p>A square pyramid has a base side length of (4 \\, \\text{ft}) and a slant height of (5 \\, \\text{ft}).<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Base Area ((B)):<\/strong><br>(B = s^2 = 4^2 = 16 \\, \\text{ft}^2).<\/li>\n\n\n\n<li><strong>Perimeter ((P)):<\/strong><br>(P = 4s = 4 \\cdot 4 = 16 \\, \\text{ft}).<\/li>\n\n\n\n<li><strong>Surface Area ((SA)):<\/strong><br>[<br>SA = B + \\frac{1}{2}P \\cdot l<br>]<br>Substitute (B = 16), (P = 16), and (l = 5):<br>[<br>SA = 16 + \\frac{1}{2}(16 \\cdot 5) = 16 + \\frac{1}{2}(80) = 16 + 40 = 56 \\, \\text{ft}^2<br>]<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p>The surface area is (56 \\, \\text{ft}^2).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Find The Surface Area Of The Regular Pyramid. Round Your Answer To The Nearest Tenth (One Decimal Place). SA=B+0.5p\/ 2 Ft SA= _ Blank 1: Question 2 (1 Point) Find The Surface Area Of The Regular Pyramid. Round Your Answer To The Nearest Tenth (One Decimal Place). SA = B +0.5p\/ SA = Cma Blank [&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-184893","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/184893","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=184893"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/184893\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=184893"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=184893"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=184893"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}