{"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 loading=\"lazy\" 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=\"auto, (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":{"footnotes":""},"categories":[5138],"tags":[5139],"offerexpiration":[],"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"},{"taxonomy":"offerexpiration","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/offerexpiration?post=166402"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}