{"id":276936,"date":"2025-07-31T09:13:20","date_gmt":"2025-07-31T09:13:20","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=276936"},"modified":"2025-07-31T09:13:23","modified_gmt":"2025-07-31T09:13:23","slug":"a-wooden-box-is-1-foot-high-3-feet-wide-and-5-feet-long","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/31\/a-wooden-box-is-1-foot-high-3-feet-wide-and-5-feet-long\/","title":{"rendered":"A wooden box is 1 foot high, 3 feet wide, and 5 feet long."},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/image-1357.png\" alt=\"\" class=\"wp-image-276937\"\/><\/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&nbsp;<strong>C) 31<\/strong>.<\/p>\n\n\n\n<p>Here is a detailed explanation of how to arrive at this answer.<\/p>\n\n\n\n<p>The problem asks for the total surface area that will be painted on a wooden box. The box has the shape of a rectangular prism with the following dimensions:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Height (h) = 1 foot<\/li>\n\n\n\n<li>Width (w) = 3 feet<\/li>\n\n\n\n<li>Length (l) = 5 feet<\/li>\n<\/ul>\n\n\n\n<p>Bob plans to use this box as a tabletop, which means he will paint the top surface and the four vertical sides. The bottom surface, which will rest on the floor or a base, will not be painted. To find the total painted area, we need to calculate the area of each of these five surfaces and then add them together.<\/p>\n\n\n\n<p>First, let&#8217;s calculate the area of the top of the box. The top surface is a rectangle with dimensions corresponding to the length and width of the box.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Area of the top = Length \u00d7 Width<\/li>\n\n\n\n<li>Area of the top = 5 feet \u00d7 3 feet = 15 square feet.<\/li>\n<\/ul>\n\n\n\n<p>Next, we need to calculate the area of the four sides. A rectangular box has two pairs of identical sides.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>The front and back sides: These are two identical rectangles whose dimensions are the length and the height of the box.\n<ul class=\"wp-block-list\">\n<li>Area of one front\/back side = Length \u00d7 Height<\/li>\n\n\n\n<li>Area of one front\/back side = 5 feet \u00d7 1 foot = 5 square feet.<\/li>\n\n\n\n<li>Since there are two of these sides (front and back), their combined area is 2 \u00d7 5 square feet = 10 square feet.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>The left and right sides: These are the other two identical rectangles, and their dimensions are the width and the height of the box.\n<ul class=\"wp-block-list\">\n<li>Area of one left\/right side = Width \u00d7 Height<\/li>\n\n\n\n<li>Area of one left\/right side = 3 feet \u00d7 1 foot = 3 square feet.<\/li>\n\n\n\n<li>Since there are two of these sides (left and right), their combined area is 2 \u00d7 3 square feet = 6 square feet.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p>Now, we find the total area of all four sides by adding the areas we just calculated:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Total area of the four sides = (Area of front and back) + (Area of left and right)<\/li>\n\n\n\n<li>Total area of the four sides = 10 square feet + 6 square feet = 16 square feet.<\/li>\n<\/ul>\n\n\n\n<p>Finally, to find the total painted area, we add the area of the top to the total area of the four sides.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Total painted area = Area of the top + Total area of the four sides<\/li>\n\n\n\n<li>Total painted area = 15 square feet + 16 square feet = 31 square feet.<\/li>\n<\/ul>\n\n\n\n<p>Therefore, Bob will paint a total of 31 square feet. This corresponds to option C.<\/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-banner6-2676.jpeg\" alt=\"\" class=\"wp-image-276938\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The Correct Answer and Explanation is: The correct answer is&nbsp;C) 31. Here is a detailed explanation of how to arrive at this answer. The problem asks for the total surface area that will be painted on a wooden box. The box has the shape of a rectangular prism with the following dimensions: Bob plans 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-276936","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/276936","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=276936"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/276936\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=276936"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=276936"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=276936"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}