{"id":166402,"date":"2024-04-05T14:57:44","date_gmt":"2024-04-05T09:27:44","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=166402"},"modified":"2024-04-05T14:57:44","modified_gmt":"2024-04-05T09:27:44","slug":"the-base-of-a-prism-is-in-the-shape-of-an-equilateral-triangle-if-the-perimeter-of-the-base-is-18-45-cm-and-the-height","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/the-base-of-a-prism-is-in-the-shape-of-an-equilateral-triangle-if-the-perimeter-of-the-base-is-18-45-cm-and-the-height\/","title":{"rendered":"The base of a prism is in the shape of an equilateral triangle. If the perimeter of the base is 18.45 cm and the height"},"content":{"rendered":"\n<p>The base of a prism is in the shape of an equilateral triangle. If the perimeter of the base is 18.45 cm and the height of the prism is 32 cm, then what is the volume (in cm\u00b3) of the prism?<\/p>\n\n\n\n<p>a) 180\u221a3<\/p>\n\n\n\n<p>b) 324.8\u221a3<\/p>\n\n\n\n<p>c) 434<\/p>\n\n\n\n<p><strong>d) 524<\/strong><\/p>\n\n\n\n<p><strong>Sol:<\/strong><\/p>\n\n\n\n<p>Perimeter = 18.45 cm<\/p>\n\n\n\n<p>Side length = 6.15 cm<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" width=\"1024\" height=\"230\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-124-1024x230.png\" alt=\"\" class=\"wp-image-166403\" style=\"width:316px;height:auto\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-124-1024x230.png 1024w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-124-300x68.png 300w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-124-764x172.png 764w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-124-1536x346.png 1536w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-124-2048x461.png 2048w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-124-667x150.png 667w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-124-100x23.png 100w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-124-1556x350.png 1556w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-124-788x177.png 788w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-124.png 520w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The base of a prism is in the shape of an equilateral triangle. If the perimeter of the base is 18.45 cm and the height of the prism is 32 cm, then what is the volume (in cm\u00b3) of the prism? a) 180\u221a3 b) 324.8\u221a3 c) 434 d) 524 Sol: Perimeter = 18.45 cm Side [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":166404,"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-166402","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\/166402","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=166402"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/166402\/revisions"}],"predecessor-version":[{"id":166405,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/166402\/revisions\/166405"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/166404"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=166402"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=166402"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=166402"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}