{"id":32589,"date":"2025-06-22T17:08:34","date_gmt":"2025-06-22T17:08:34","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=32589"},"modified":"2025-06-22T17:08:35","modified_gmt":"2025-06-22T17:08:35","slug":"the-density-of-water-is-1-gram-per-cubic-centimeter","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/the-density-of-water-is-1-gram-per-cubic-centimeter\/","title":{"rendered":"The density of water is 1 gram per cubic centimeter"},"content":{"rendered":"\n<p>The density of water is 1 gram per cubic centimeter (<br>). Express this (a) in kilogram per cubic meter (<br>) and (b) in pound per cubic feet (<br>). Note: 1 lb = 454 g<\/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>The given density of water is:<\/p>\n\n\n\n<p><strong>1 gram per cubic centimeter (g\/cm\u00b3)<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>(a) Convert to kilogram per cubic meter (kg\/m\u00b3)<\/strong><\/h3>\n\n\n\n<p>We use the following conversion factors:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1 g = 0.001 kg<\/li>\n\n\n\n<li>1 cm\u00b3 = 0.000001 m\u00b3 (since 1\u2009m=100\u2009cm\u21d21\u2009m3=106\u2009cm31\\,\\text{m} = 100\\,\\text{cm} \\Rightarrow 1\\,\\text{m}^3 = 10^6\\,\\text{cm}^31m=100cm\u21d21m3=106cm3)<\/li>\n<\/ul>\n\n\n\n<p>So:1\u2009g\/cm3=1\u2009g1\u2009cm3=0.001\u2009kg0.000001\u2009m3=1000\u2009kg\/m31\\,\\text{g\/cm}^3 = \\frac{1\\,\\text{g}}{1\\,\\text{cm}^3} = \\frac{0.001\\,\\text{kg}}{0.000001\\,\\text{m}^3} = 1000\\,\\text{kg\/m}^31g\/cm3=1cm31g\u200b=0.000001m30.001kg\u200b=1000kg\/m3<\/p>\n\n\n\n<p><strong>Answer:<\/strong> 1000 kg\/m\u00b3<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>(b) Convert to pound per cubic foot (lb\/ft\u00b3)<\/strong><\/h3>\n\n\n\n<p>We use the following conversion factors:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1 lb = 454 g<\/li>\n\n\n\n<li>1 ft = 30.48 cm \u2192 1\u2009ft3=(30.48)3\u2009cm3=28316.8466\u2009cm31\\,\\text{ft}^3 = (30.48)^3\\,\\text{cm}^3 = 28316.8466\\,\\text{cm}^31ft3=(30.48)3cm3=28316.8466cm3<\/li>\n<\/ul>\n\n\n\n<p>We start from:1\u2009g\/cm3=1\u2009g1\u2009cm31\\,\\text{g\/cm}^3 = \\frac{1\\,\\text{g}}{1\\,\\text{cm}^3}1g\/cm3=1cm31g\u200b<\/p>\n\n\n\n<p>Now convert grams to pounds:1\u2009g=1454\u2009lb1\\,\\text{g} = \\frac{1}{454}\\,\\text{lb}1g=4541\u200blb<\/p>\n\n\n\n<p>So:1\u2009g\/cm3=1454\u2009lb\/cm31\\,\\text{g\/cm}^3 = \\frac{1}{454}\\,\\text{lb\/cm}^31g\/cm3=4541\u200blb\/cm3<\/p>\n\n\n\n<p>Now convert cm\u00b3 to ft\u00b3:1\u2009lb\/cm3=28316.8466\u2009lb\/ft31\\,\\text{lb\/cm}^3 = 28316.8466\\,\\text{lb\/ft}^31lb\/cm3=28316.8466lb\/ft3<\/p>\n\n\n\n<p>So:1454\u2009lb\/cm3=28316.8466454\u2009lb\/ft3\u224862.36\u2009lb\/ft3\\frac{1}{454}\\,\\text{lb\/cm}^3 = \\frac{28316.8466}{454}\\,\\text{lb\/ft}^3 \\approx 62.36\\,\\text{lb\/ft}^34541\u200blb\/cm3=45428316.8466\u200blb\/ft3\u224862.36lb\/ft3<\/p>\n\n\n\n<p><strong>Answer:<\/strong> Approximately 62.36 lb\/ft\u00b3<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Explanation<\/strong><\/h3>\n\n\n\n<p>Density is a measure of mass per unit volume. The density of pure water at 4\u00b0C is 1 gram per cubic centimeter. This unit is commonly used in scientific contexts, but practical and engineering applications often require conversions to other systems such as SI (International System of Units) or imperial units.<\/p>\n\n\n\n<p>To convert to kilograms per cubic meter, we recognize that 1 kilogram contains 1000 grams, and 1 meter contains 100 centimeters. Therefore, 1 cubic meter equals 1 million cubic centimeters. When we apply these conversions, we see that 1 gram per cubic centimeter translates to 1000 kilograms per cubic meter. This is a standard reference value in physics, chemistry, and environmental science.<\/p>\n\n\n\n<p>To express the same density in imperial units such as pounds per cubic foot, we need to convert both the mass and the volume. One pound equals 454 grams, and one cubic foot equals 28316.8466 cubic centimeters. By converting the units accordingly, we find that 1 gram per cubic centimeter is approximately 62.36 pounds per cubic foot. This value is frequently used in civil engineering, construction, and HVAC (heating, ventilation, and air conditioning) calculations when dealing with water or fluids of similar density.<\/p>\n\n\n\n<p>Understanding how to convert units of density allows scientists and engineers to apply standard data in various systems and ensures consistency in calculations across international boundaries and disciplines.<\/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-banner8-413.jpeg\" alt=\"\" class=\"wp-image-32590\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-413.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-413-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-413-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The density of water is 1 gram per cubic centimeter (). Express this (a) in kilogram per cubic meter () and (b) in pound per cubic feet (). Note: 1 lb = 454 g The Correct Answer and Explanation is: The given density of water is: 1 gram per cubic centimeter (g\/cm\u00b3) (a) Convert to [&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-32589","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/32589","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=32589"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/32589\/revisions"}],"predecessor-version":[{"id":32591,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/32589\/revisions\/32591"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=32589"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=32589"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=32589"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}