The length of a cold storage is 5 times its breadth, and its height is 8 m. The area of its four walls (including the doors) is 720 m2. Find the total surface area of cold storage.<\/p>
(a) 1222.5<\/p>
(b) 1282.5<\/b><\/p>
(c) 1333.3<\/p>
(d) 1285.5<\/p>
Sol:<\/p>
Given:\u00a0 The length of cold storage is 5 times its breadth, and its height is 8 m\u00a0 <\/p>
The area of its four walls (including the doors) is 720 m2\u00a0 <\/p>
Concept Used:\u00a0 <\/p>
TSA of cuboid =\u00a02(lb + bh + lh)\u00a0\u00a0 TSA = Total surface area, l = length, b = breadth, h = height\u00a0 <\/p>
Calculation:\u00a0 <\/p>
\u21d2<\/span> According to the question\u00a0 <\/p> \u21d2<\/span>\u00a0l = 5b, h = 8\u00a0 <\/p> \u21d2<\/span>\u00a0Area of four walls = 2(lh) + 2(bh)\u00a0 <\/p> \u21d2<\/span>\u00a0720 = 2(5b \u00d7 8) + 2(b \u00d7 8)\u00a0 \u21d2<\/span>\u00a0720 = 80b + 16b\u00a0 <\/p> \u21d2<\/span>\u00a0720 = 96b\u00a0 \u21d2<\/span>\u00a0b = 7.5 m, l = 5b = 5\u00a0\u00d7 7.5 = 37.5 m\u00a0 <\/p> \u21d2<\/span>\u00a0TSA = 2(lb + bh + lh) = 2(37.5 \u00d7 7.5 + 7.5\u00a0\u00d7 8 + 8\u00a0\u00d7 37.5)\u00a0 <\/p> \u21d2<\/span>\u00a02(281.25 + 60 + 300)\u00a0 \u21d2<\/span>\u00a02(641.25) = 1282.5\u00a0 <\/p> Therefore, the total surface area of cold storage is\u00a01282.5\u00a0m2<\/p> <\/p>\n","protected":false},"excerpt":{"rendered":" The length of a cold storage is 5 times its breadth, and its height is 8 m. The area of its four walls (including the doors) is 720 m2. Find the total surface area of cold storage. (a) 1222.5 (b) 1282.5 (c) 1333.3 (d) 1285.5 Sol: Given:\u00a0 The length of cold storage is 5 times […]<\/p>\n","protected":false},"author":419,"featured_media":164434,"comment_status":"open","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-4)","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-4)","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-4)","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":[5138],"tags":[5139],"class_list":["post-164433","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-quantitative-aptitude","tag-quantitative-aptitude"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/164433","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=164433"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/164433\/revisions"}],"predecessor-version":[{"id":164435,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/164433\/revisions\/164435"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/164434"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=164433"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=164433"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=164433"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}