{"id":777,"date":"2024-03-05T15:05:20","date_gmt":"2024-03-05T15:05:20","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=777"},"modified":"2024-03-05T15:05:20","modified_gmt":"2024-03-05T15:05:20","slug":"the-surface-area-of-a-cube-is-216-sq-m-what-is-its-volume","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-surface-area-of-a-cube-is-216-sq-m-what-is-its-volume\/","title":{"rendered":"The surface area of a cube is 216 sq. m. What is its volume?"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;512cu.m.&#8221; option2=&#8221;480cu.m.&#8221; option3=&#8221;216cu.m.&#8221; option4=&#8221;l00 cu.m.&#8221; correct=&#8221;option3&#8243;]<!--more--><\/p>\n<p>The correct answer is (c).<\/p>\n<p>The surface area of a cube is the total area of all the faces of the cube. The formula for the surface area of a cube is $6a^2$, where $a$ is the length of one side of the cube.<\/p>\n<p>We are given that the surface area of the cube is 216 square meters. Substituting this into the formula, we get $6a^2 = 216$. Solving for $a$, we get $a = 6$ meters.<\/p>\n<p>The volume of a cube is the amount of space enclosed by the cube. The formula for the volume of a cube is $a^3$. Substituting $a = 6$ into the formula, we get $a^3 = 6^3 = 216$ cubic meters.<\/p>\n<p>Therefore, the volume of the cube is 216 cubic meters.<\/p>\n<p>The other options are incorrect because they are not the volume of a cube with a surface area of 216 square meters.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;512cu.m.&#8221; option2=&#8221;480cu.m.&#8221; option3=&#8221;216cu.m.&#8221; option4=&#8221;l00 cu.m.&#8221; correct=&#8221;option3&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[41],"tags":[],"class_list":["post-777","post","type-post","status-publish","format-standard","hentry","category-geometry","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>The surface area of a cube is 216 sq. m. 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