{"id":198958,"date":"2025-03-10T15:18:29","date_gmt":"2025-03-10T15:18:29","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=198958"},"modified":"2025-03-10T15:18:30","modified_gmt":"2025-03-10T15:18:30","slug":"a-piece-of-gold-leaf-density-19-3-g-cm3-weighs-1-93-mg","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/10\/a-piece-of-gold-leaf-density-19-3-g-cm3-weighs-1-93-mg\/","title":{"rendered":"A piece of gold leaf (density 19.3 g\/cm3) weighs 1.93 mg"},"content":{"rendered":"\n<p>A piece of gold leaf (density 19.3 g\/cm3) weighs 1.93 mg. What is the volume in mm3?<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>To determine the volume of a piece of gold leaf, we use the formula:<\/p>\n\n\n\n<p>[<br>\\text{Volume} = \\frac{\\text{Mass}}{\\text{Density}}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Identify Given Values<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Density of gold<\/strong> = (19.3 \\, \\text{g\/cm}^3)<\/li>\n\n\n\n<li><strong>Mass of gold leaf<\/strong> = (1.93 \\, \\text{mg} = 0.00193 \\, \\text{g})<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Apply the Formula<\/h3>\n\n\n\n<p>[<br>\\text{Volume} = \\frac{0.00193 \\, \\text{g}}{19.3 \\, \\text{g\/cm}^3}<br>]<\/p>\n\n\n\n<p>[<br>\\text{Volume} = 0.0001 \\, \\text{cm}^3<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Convert to mm\u00b3<\/h3>\n\n\n\n<p>Since (1 \\, \\text{cm}^3 = 1000 \\, \\text{mm}^3):<\/p>\n\n\n\n<p>[<br>\\text{Volume} = 0.0001 \\times 1000 = 0.1 \\, \\text{mm}^3<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p><strong>The volume of the gold leaf is (0.1 \\, \\text{mm}^3).<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>Gold is an extremely dense metal, meaning that even a very small amount of it occupies a tiny volume. The density of gold is 19.3 g\/cm\u00b3, which means that 1 cm\u00b3 of gold weighs 19.3 grams. In this problem, we are given a mass of 1.93 mg, which is much smaller than a gram, so we expect a very small volume.<\/p>\n\n\n\n<p>The key to solving this problem correctly is unit conversion. Since the mass is given in milligrams, we first convert it to grams because density is given in g\/cm\u00b3. After dividing mass by density, we get the volume in cm\u00b3. Finally, we convert cm\u00b3 to mm\u00b3 because the problem specifically asks for mm\u00b3.<\/p>\n\n\n\n<p>This problem highlights how density helps us determine volume from mass. Gold\u2019s high density results in a very small volume for even a noticeable amount of mass. This is why gold can be beaten into extremely thin sheets\u2014its mass remains substantial even when spread out over a large area.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A piece of gold leaf (density 19.3 g\/cm3) weighs 1.93 mg. What is the volume in mm3? The correct answer and explanation is : To determine the volume of a piece of gold leaf, we use the formula: [\\text{Volume} = \\frac{\\text{Mass}}{\\text{Density}}] Step 1: Identify Given Values Step 2: Apply the Formula [\\text{Volume} = \\frac{0.00193 \\, [&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-198958","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/198958","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=198958"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/198958\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=198958"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=198958"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=198958"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}