{"id":266241,"date":"2025-07-22T17:41:21","date_gmt":"2025-07-22T17:41:21","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=266241"},"modified":"2025-07-22T17:41:24","modified_gmt":"2025-07-22T17:41:24","slug":"a-wooden-block-measuring-40-cm-x-10-cm-x-5-cm-has-a-mass-850-g","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/22\/a-wooden-block-measuring-40-cm-x-10-cm-x-5-cm-has-a-mass-850-g\/","title":{"rendered":"A wooden block measuring 40 cm x 10 cm x 5 cm has a mass 850 g"},"content":{"rendered":"\n<p>A wooden block measuring 40 cm x 10 cm x 5 cm has a mass 850 g. Find the density of 3 wood.<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To find the density of the wood, we can use the formula: Density=MassVolume\\text{Density} = \\frac{\\text{Mass}}{\\text{Volume}}Density=VolumeMass\u200b<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Calculate the volume of the wooden block<\/h3>\n\n\n\n<p>The dimensions of the wooden block are given as:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Length = 40 cm<\/li>\n\n\n\n<li>Width = 10 cm<\/li>\n\n\n\n<li>Height = 5 cm<\/li>\n<\/ul>\n\n\n\n<p>The volume of the block can be calculated using the formula for the volume of a rectangular prism: Volume=Length\u00d7Width\u00d7Height\\text{Volume} = \\text{Length} \\times \\text{Width} \\times \\text{Height}Volume=Length\u00d7Width\u00d7Height<\/p>\n\n\n\n<p>Substitute the given values: Volume=40\u2009cm\u00d710\u2009cm\u00d75\u2009cm\\text{Volume} = 40 \\, \\text{cm} \\times 10 \\, \\text{cm} \\times 5 \\, \\text{cm}Volume=40cm\u00d710cm\u00d75cm Volume=2000\u2009cm3\\text{Volume} = 2000 \\, \\text{cm}^3Volume=2000cm3<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Convert mass to kilograms<\/h3>\n\n\n\n<p>The mass of the block is 850 g. To ensure consistency in units, let&#8217;s convert this mass to kilograms: Mass=850\u2009g=0.850\u2009kg\\text{Mass} = 850 \\, \\text{g} = 0.850 \\, \\text{kg}Mass=850g=0.850kg<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Calculate the density<\/h3>\n\n\n\n<p>Now, we can use the formula for density. We already have the mass in kilograms and the volume in cubic centimeters, but since we want the density in kg\/m3\\text{kg\/m}^3kg\/m3, we need to convert the volume from cm\u00b3 to m\u00b3.<\/p>\n\n\n\n<p>1 m\u00b3 = 1,000,000 cm\u00b3, so: Volume&nbsp;in&nbsp;m3=2000\u2009cm31,000,000=0.002\u2009m3\\text{Volume in m}^3 = \\frac{2000 \\, \\text{cm}^3}{1,000,000} = 0.002 \\, \\text{m}^3Volume&nbsp;in&nbsp;m3=1,000,0002000cm3\u200b=0.002m3<\/p>\n\n\n\n<p>Now, substitute the mass and volume into the density formula: Density=0.850\u2009kg0.002\u2009m3\\text{Density} = \\frac{0.850 \\, \\text{kg}}{0.002 \\, \\text{m}^3}Density=0.002m30.850kg\u200b Density=425\u2009kg\/m3\\text{Density} = 425 \\, \\text{kg\/m}^3Density=425kg\/m3<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>The density of the wood is <strong>425 kg\/m\u00b3<\/strong>.<\/p>\n\n\n\n<p>This means that for every cubic meter of this particular wood, the mass is 425 kg. The density gives an idea of how compact the material is. In this case, the relatively low density suggests that the wood is not particularly dense, which is typical for many types of wood.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-1563.jpeg\" alt=\"\" class=\"wp-image-266242\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>A wooden block measuring 40 cm x 10 cm x 5 cm has a mass 850 g. Find the density of 3 wood. The Correct Answer and Explanation is: To find the density of the wood, we can use the formula: Density=MassVolume\\text{Density} = \\frac{\\text{Mass}}{\\text{Volume}}Density=VolumeMass\u200b Step 1: Calculate the volume of the wooden block The dimensions [&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-266241","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/266241","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=266241"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/266241\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=266241"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=266241"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=266241"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}