{"id":249774,"date":"2025-07-09T21:03:04","date_gmt":"2025-07-09T21:03:04","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=249774"},"modified":"2025-07-09T21:03:06","modified_gmt":"2025-07-09T21:03:06","slug":"a-sheet-of-metal-of-constant-thickness-has-a-density-of-238-grams-per-square-meter","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/09\/a-sheet-of-metal-of-constant-thickness-has-a-density-of-238-grams-per-square-meter\/","title":{"rendered":"A sheet of metal (of constant thickness) has a density of 238 grams per square meter."},"content":{"rendered":"\n

A sheet of metal (of constant thickness) has a density of 238 grams per square meter. What is this density in ounces per square inch? Note that there are exactly 2.54 cm in 1 inch, exactly 12 inches in 1 foot, exactly 16 ounces in a pound, and 2.205 pounds in a kilogram (to 4 significant figures). Write your answer with or without scientific notation. If using scientific notation, note that 0.02574 would be written as 2.574e-2.<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

We are tasked with converting a density of 238 grams per square meter<\/strong> into ounces per square inch<\/strong>.<\/p>\n\n\n\n

Step 1: Convert grams to ounces.<\/h3>\n\n\n\n

First, we need to convert grams into ounces. The conversion factor is: 1 ounce=28.3495 grams1 \\text{ ounce} = 28.3495 \\text{ grams}1 ounce=28.3495 grams<\/p>\n\n\n\n

So, to convert 238 grams to ounces: 238\u2009grams\u00d71\u2009ounce28.3495\u2009grams=8.399\u2009ounces238 \\, \\text{grams} \\times \\frac{1 \\, \\text{ounce}}{28.3495 \\, \\text{grams}} = 8.399 \\, \\text{ounces}238grams\u00d728.3495grams1ounce\u200b=8.399ounces<\/p>\n\n\n\n

Step 2: Convert square meters to square inches.<\/h3>\n\n\n\n

Next, we convert square meters to square inches. The conversion factor between meters and inches is: 1\u2009inch=2.54\u2009cm1 \\, \\text{inch} = 2.54 \\, \\text{cm}1inch=2.54cm<\/p>\n\n\n\n

Since 1 meter = 100 cm, we have: 1\u2009meter=1002.54\u2009inches=39.3701\u2009inches1 \\, \\text{meter} = \\frac{100}{2.54} \\, \\text{inches} = 39.3701 \\, \\text{inches}1meter=2.54100\u200binches=39.3701inches<\/p>\n\n\n\n

So, 1 square meter is: 1\u2009m2=(39.3701)2\u2009inches2=1550.0031\u2009inches21 \\, \\text{m}^2 = (39.3701)^2 \\, \\text{inches}^2 = 1550.0031 \\, \\text{inches}^21m2=(39.3701)2inches2=1550.0031inches2<\/p>\n\n\n\n

Step 3: Combine the conversions.<\/h3>\n\n\n\n

Now, we have: Density in ounces per square inch=8.399\u2009ounces1550.0031\u2009inches2\\text{Density in ounces per square inch} = \\frac{8.399 \\, \\text{ounces}}{1550.0031 \\, \\text{inches}^2}Density in ounces per square inch=1550.0031inches28.399ounces\u200b<\/p>\n\n\n\n

Performing the division: 8.3991550.0031\u22480.005414\u2009ounces per square inch\\frac{8.399}{1550.0031} \\approx 0.005414 \\, \\text{ounces per square inch}1550.00318.399\u200b\u22480.005414ounces per square inch<\/p>\n\n\n\n

Final Answer:<\/h3>\n\n\n\n

The density is approximately 0.005414 ounces per square inch<\/strong>.<\/p>\n\n\n\n

Explanation:<\/h3>\n\n\n\n

To arrive at this answer, we converted the given density from grams per square meter to ounces per square inch by first converting the mass (grams to ounces) and then converting the area (square meters to square inches). The result, 0.005414, is a density measure that expresses the mass in ounces for each square inch of the metal sheet.<\/p>\n\n\n\n

\"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

A sheet of metal (of constant thickness) has a density of 238 grams per square meter. What is this density in ounces per square inch? Note that there are exactly 2.54 cm in 1 inch, exactly 12 inches in 1 foot, exactly 16 ounces in a pound, and 2.205 pounds in a kilogram (to 4 […]<\/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-249774","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/249774","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=249774"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/249774\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=249774"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=249774"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=249774"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}