{"id":168812,"date":"2024-11-18T12:21:08","date_gmt":"2024-11-18T12:21:08","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=168812"},"modified":"2024-11-18T12:21:11","modified_gmt":"2024-11-18T12:21:11","slug":"the-volume-of-the-prism-is-1122-cubic-inches","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/18\/the-volume-of-the-prism-is-1122-cubic-inches\/","title":{"rendered":"The volume of the prism is 1122 cubic inches."},"content":{"rendered":"\n<p>The volume of the prism is 1122 cubic inches. use the formula V = BH to find the h of the prism. B= 93.5in.<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To find the height ( h ) of the prism, we will use the volume formula for a prism:<\/p>\n\n\n\n<p>[<br>V = B \\times h<br>]<\/p>\n\n\n\n<p>where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( V ) is the volume of the prism,<\/li>\n\n\n\n<li>( B ) is the area of the base of the prism,<\/li>\n\n\n\n<li>( h ) is the height of the prism.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Given:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Volume ( V = 1122 ) cubic inches,<\/li>\n\n\n\n<li>Base area ( B = 93.5 ) square inches.<\/li>\n<\/ul>\n\n\n\n<p>We need to solve for ( h ), the height of the prism. To do this, we can rearrange the formula to solve for ( h ):<\/p>\n\n\n\n<p>[<br>h = \\frac{V}{B}<br>]<\/p>\n\n\n\n<p>Substitute the known values for ( V ) and ( B ):<\/p>\n\n\n\n<p>[<br>h = \\frac{1122}{93.5}<br>]<\/p>\n\n\n\n<p>Now, perform the division:<\/p>\n\n\n\n<p>[<br>h = 12 \\text{ inches}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>The height ( h ) of the prism is <strong>12 inches<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>In this problem, we are given the volume and the base area of a prism. The formula for the volume of a prism is ( V = B \\times h ), where ( V ) is the volume, ( B ) is the area of the base, and ( h ) is the height. This formula shows that the volume of a prism is the product of its base area and its height.<\/p>\n\n\n\n<p>To find the height, we can rearrange the formula to solve for ( h ) by dividing both sides of the equation by ( B ), as follows:<\/p>\n\n\n\n<p>[<br>h = \\frac{V}{B}<br>]<\/p>\n\n\n\n<p>Once we substitute the given values for ( V ) (1122 cubic inches) and ( B ) (93.5 square inches), we can calculate ( h ) by performing the division. The result is 12 inches, which means the height of the prism is 12 inches.<\/p>\n\n\n\n<p>This approach is based on the relationship between the volume, base area, and height of a prism. By using the formula and rearranging it as needed, we can easily solve for any unknown variable if the others are provided.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The volume of the prism is 1122 cubic inches. use the formula V = BH to find the h of the prism. B= 93.5in. The Correct Answer and Explanation is: To find the height ( h ) of the prism, we will use the volume formula for a prism: [V = B \\times h] where: [&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-168812","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168812","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=168812"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168812\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=168812"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=168812"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=168812"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}