{"appState":{"pageLoadApiCallsStatus":true},"articleState":{"article":{"headers":{"creationTime":"2016-03-26T07:28:01+00:00","modifiedTime":"2016-03-26T07:28:01+00:00","timestamp":"2022-09-14T17:49:51+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Science","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33756"},"slug":"science","categoryId":33756},{"name":"Physics","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33769"},"slug":"physics","categoryId":33769}],"title":"Density and Specific Gravity in Physics Problems","strippedTitle":"density and specific gravity in physics problems","slug":"density-and-specific-gravity-in-physics-problems","canonicalUrl":"","seo":{"metaDescription":"Using physics, you can show how mass and volume are related to density. You can also calculate the specific gravity of a material, such as gasoline, if you know","noIndex":0,"noFollow":0},"content":"<p>Using physics, you can show how mass and volume are related to density. You can also calculate the specific gravity of a material, such as gasoline, if you know its density. </p>\n<p>Here are some practice questions that you can try.</p>\n<h2 id=\"tab1\" >Practice questions</h2>\n<ol class=\"level-one\">\n <li><p class=\"first-para\">You make a cake that has a mass of 300 grams and fits in a cake pan that is 30 by 10 by 6.0 centimeters cubed. What is the density of the cake?</p>\n </li>\n <li><p class=\"first-para\">A box of cough drops has a mass of 1.0 gram, and its dimensions are 1.0 by 5.0 by 8.5 centimeters cubed. It contains 30 cough drops, each of which has a mass of 2.2 grams. What is the density of the box when it is full of cough drops?</p>\n </li>\n <li><p class=\"first-para\">The density of gasoline is 721 kilograms per cubic meter. What is its specific gravity?</p>\n </li>\n</ol>\n<h2 id=\"tab2\" >Answers</h2>\n<p>The following are the answers to the practice questions:</p>\n<ol class=\"level-one\">\n <li><p class=\"first-para\"></p>\n<img src=\"https://www.dummies.com/wp-content/uploads/490661.image0.png\" height=\"27\" alt=\"image0.png\" width=\"109\"/>\n<p class=\"child-para\">Density is mass per unit volume, or </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/490662.image1.png\" height=\"40\" alt=\"image1.png\" width=\"44\"/>\n<p class=\"child-para\">In this case, the mass is</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/490663.image2.png\" height=\"75\" alt=\"image2.png\" width=\"140\"/>\n<p class=\"child-para\">The volume is</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/490664.image3.png\" height=\"72\" alt=\"image3.png\" width=\"287\"/>\n<p class=\"child-para\">Insert these values into the equation for density to find the density of the cake:</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/490665.image4.png\" height=\"117\" alt=\"image4.png\" width=\"131\"/>\n </li>\n <li><p class=\"first-para\"></p>\n<img src=\"https://www.dummies.com/wp-content/uploads/490666.image5.png\" height=\"27\" alt=\"image5.png\" width=\"109\"/>\n<p class=\"child-para\">Density is mass per unit volume, or </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/490667.image6.png\" height=\"40\" alt=\"image6.png\" width=\"44\"/>\n<p class=\"child-para\">The total mass of the box plus cough drops is</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/490668.image7.png\" height=\"97\" alt=\"image7.png\" width=\"139\"/>\n<p class=\"child-para\">The volume of the box is</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/490669.image8.png\" height=\"72\" alt=\"image8.png\" width=\"295\"/>\n<p class=\"child-para\">Insert these values into the equation for density to find the density of the box:</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/490670.image9.png\" height=\"117\" alt=\"image9.png\" width=\"131\"/>\n </li>\n <li><p class=\"first-para\">0.721</p>\n<p class=\"child-para\">Specific gravity is the density of a material divided by the density of water at </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/490671.image10.png\" height=\"24\" alt=\"image10.png\" width=\"31\"/>\n<p class=\"child-para\">which is 1,000 kilograms per cubic meter. The equation for specific gravity is </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/490672.image11.png\" height=\"48\" alt=\"image11.png\" width=\"208\"/>\n<p class=\"child-para\">The subscript <i>x</i> refers to the material in question. You know that </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/490673.image12.png\" height=\"31\" alt=\"image12.png\" width=\"145\"/>\n<p class=\"child-para\">Insert this value into the equation for specific gravity to find</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/490674.image13.png\" height=\"135\" alt=\"image13.png\" width=\"247\"/>\n </li>\n</ol>","description":"<p>Using physics, you can show how mass and volume are related to density. You can also calculate the specific gravity of a material, such as gasoline, if you know its density. </p>\n<p>Here are some practice questions that you can try.</p>\n<h2 id=\"tab1\" >Practice questions</h2>\n<ol class=\"level-one\">\n <li><p class=\"first-para\">You make a cake that has a mass of 300 grams and fits in a cake pan that is 30 by 10 by 6.0 centimeters cubed. What is the density of the cake?</p>\n </li>\n <li><p class=\"first-para\">A box of cough drops has a mass of 1.0 gram, and its dimensions are 1.0 by 5.0 by 8.5 centimeters cubed. It contains 30 cough drops, each of which has a mass of 2.2 grams. What is the density of the box when it is full of cough drops?</p>\n </li>\n <li><p class=\"first-para\">The density of gasoline is 721 kilograms per cubic meter. What is its specific gravity?</p>\n </li>\n</ol>\n<h2 id=\"tab2\" >Answers</h2>\n<p>The following are the answers to the practice questions:</p>\n<ol class=\"level-one\">\n <li><p class=\"first-para\"></p>\n<img src=\"https://www.dummies.com/wp-content/uploads/490661.image0.png\" height=\"27\" alt=\"image0.png\" width=\"109\"/>\n<p class=\"child-para\">Density is mass per unit volume, or </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/490662.image1.png\" height=\"40\" alt=\"image1.png\" width=\"44\"/>\n<p class=\"child-para\">In this case, the mass is</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/490663.image2.png\" height=\"75\" alt=\"image2.png\" width=\"140\"/>\n<p class=\"child-para\">The volume is</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/490664.image3.png\" height=\"72\" alt=\"image3.png\" width=\"287\"/>\n<p class=\"child-para\">Insert these values into the equation for density to find the density of the cake:</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/490665.image4.png\" height=\"117\" alt=\"image4.png\" width=\"131\"/>\n </li>\n <li><p class=\"first-para\"></p>\n<img src=\"https://www.dummies.com/wp-content/uploads/490666.image5.png\" height=\"27\" alt=\"image5.png\" width=\"109\"/>\n<p class=\"child-para\">Density is mass per unit volume, or </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/490667.image6.png\" height=\"40\" alt=\"image6.png\" width=\"44\"/>\n<p class=\"child-para\">The total mass of the box plus cough drops is</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/490668.image7.png\" height=\"97\" alt=\"image7.png\" width=\"139\"/>\n<p class=\"child-para\">The volume of the box is</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/490669.image8.png\" height=\"72\" alt=\"image8.png\" width=\"295\"/>\n<p class=\"child-para\">Insert these values into the equation for density to find the density of the box:</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/490670.image9.png\" height=\"117\" alt=\"image9.png\" width=\"131\"/>\n </li>\n <li><p class=\"first-para\">0.721</p>\n<p class=\"child-para\">Specific gravity is the density of a material divided by the density of water at </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/490671.image10.png\" height=\"24\" alt=\"image10.png\" width=\"31\"/>\n<p class=\"child-para\">which is 1,000 kilograms per cubic meter. The equation for specific gravity is </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/490672.image11.png\" height=\"48\" alt=\"image11.png\" width=\"208\"/>\n<p class=\"child-para\">The subscript <i>x</i> refers to the material in question. You know that </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/490673.image12.png\" height=\"31\" alt=\"image12.png\" width=\"145\"/>\n<p class=\"child-para\">Insert this value into the equation for specific gravity to find</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/490674.image13.png\" height=\"135\" alt=\"image13.png\" width=\"247\"/>\n </li>\n</ol>","blurb":"","authors":[{"authorId":8947,"name":"The Experts at Dummies","slug":"the-experts-at-dummies","description":"The Experts at Dummies are smart, friendly people who make learning easy by taking a not-so-serious approach to serious stuff.","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/8947"}}],"primaryCategoryTaxonomy":{"categoryId":33769,"title":"Physics","slug":"physics","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33769"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":[{"articleId":175788,"title":"Trig Identities for Pre-Calculus","slug":"trig-identities-for-pre-calculus","categoryList":["academics-the-arts","math","pre-calculus"],"_links":{"self":"/articles/175788"}},{"articleId":147241,"title":"How to Use the Z-Table","slug":"how-to-use-the-z-table","categoryList":["academics-the-arts","math","statistics"],"_links":{"self":"/articles/147241"}},{"articleId":192609,"title":"How to Pray the Rosary: A Comprehensive 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Density and Specific Gravity in Physics Problems

By: The Experts at Dummies and

Updated: 03-26-2016

From The Book: Physics I: 501 Practice Problems For Dummies (+ Free Online Practice)

Physics I: 501 Practice Problems For Dummies (+ Free Online Practice)

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Using physics, you can show how mass and volume are related to density. You can also calculate the specific gravity of a material, such as gasoline, if you know its density.

Here are some practice questions that you can try.

Practice questions

You make a cake that has a mass of 300 grams and fits in a cake pan that is 30 by 10 by 6.0 centimeters cubed. What is the density of the cake?
A box of cough drops has a mass of 1.0 gram, and its dimensions are 1.0 by 5.0 by 8.5 centimeters cubed. It contains 30 cough drops, each of which has a mass of 2.2 grams. What is the density of the box when it is full of cough drops?
The density of gasoline is 721 kilograms per cubic meter. What is its specific gravity?

Answers

The following are the answers to the practice questions:

Density is mass per unit volume, or

In this case, the mass is

The volume is

Insert these values into the equation for density to find the density of the cake:
Density is mass per unit volume, or

The total mass of the box plus cough drops is

The volume of the box is

Insert these values into the equation for density to find the density of the box:
0.721

Specific gravity is the density of a material divided by the density of water at

which is 1,000 kilograms per cubic meter. The equation for specific gravity is

The subscript x refers to the material in question. You know that

Insert this value into the equation for specific gravity to find

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