{"id":38923,"date":"2025-06-26T15:02:29","date_gmt":"2025-06-26T15:02:29","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=38923"},"modified":"2025-06-26T15:02:30","modified_gmt":"2025-06-26T15:02:30","slug":"the-mass-of-an-iron-ball-is-312-g","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/the-mass-of-an-iron-ball-is-312-g\/","title":{"rendered":"The mass of an iron ball is 312 g."},"content":{"rendered":"\n<p>The mass of an iron ball is 312 g. If the density of iron is 7.8 g\/cm\u00c2\u00b3, the volume of the ball is a. 40 cm\u00c2\u00b3 b. 62.50 cm\u00c2\u00b3 c. 100 cm\u00c2\u00b3<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To find the volume of the iron ball, we can use the formula:Volume=MassDensity\\text{Volume} = \\frac{\\text{Mass}}{\\text{Density}}Volume=DensityMass\u200b<\/p>\n\n\n\n<p>Given:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Mass = 312 g<\/li>\n\n\n\n<li>Density = 7.8 g\/cm\u00b3<\/li>\n<\/ul>\n\n\n\n<p>Now plug the values into the formula:Volume=312\u2009g7.8\u2009g\/cm3=40\u2009cm3\\text{Volume} = \\frac{312 \\, \\text{g}}{7.8 \\, \\text{g\/cm}^3} = 40 \\, \\text{cm}^3Volume=7.8g\/cm3312g\u200b=40cm3<\/p>\n\n\n\n<p><strong>Correct answer: a. 40 cm\u00b3<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<p>The relationship between mass, volume, and density is a fundamental concept in physics and chemistry. Density describes how much mass exists in a given volume of a substance. The formula connecting these three properties is:Density=MassVolume\\text{Density} = \\frac{\\text{Mass}}{\\text{Volume}}Density=VolumeMass\u200b<\/p>\n\n\n\n<p>Rearranging this to solve for volume gives:Volume=MassDensity\\text{Volume} = \\frac{\\text{Mass}}{\\text{Density}}Volume=DensityMass\u200b<\/p>\n\n\n\n<p>This problem gives the mass of an iron ball as 312 grams. The density of iron is 7.8 grams per cubic centimeter. By substituting these values into the volume formula, we divide 312 by 7.8. The units of grams cancel out, leaving the answer in cubic centimeters, which is a unit of volume.312\u00f77.8=40312 \\div 7.8 = 40312\u00f77.8=40<\/p>\n\n\n\n<p>So the iron ball occupies 40 cubic centimeters of space. This is a typical type of question used in science to test understanding of the density formula and unit conversions. It also emphasizes the importance of consistent units. In this case, mass is in grams and density in grams per cubic centimeter, so the resulting volume is naturally in cubic centimeters without needing any conversions.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1092.jpeg\" alt=\"\" class=\"wp-image-38924\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1092.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1092-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1092-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The mass of an iron ball is 312 g. If the density of iron is 7.8 g\/cm\u00c2\u00b3, the volume of the ball is a. 40 cm\u00c2\u00b3 b. 62.50 cm\u00c2\u00b3 c. 100 cm\u00c2\u00b3 The Correct Answer and Explanation is: To find the volume of the iron ball, we can use the formula:Volume=MassDensity\\text{Volume} = \\frac{\\text{Mass}}{\\text{Density}}Volume=DensityMass\u200b Given: Now [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-38923","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/38923","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=38923"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/38923\/revisions"}],"predecessor-version":[{"id":38925,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/38923\/revisions\/38925"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=38923"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=38923"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=38923"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}