{"id":203427,"date":"2025-03-19T18:15:18","date_gmt":"2025-03-19T18:15:18","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=203427"},"modified":"2025-03-19T18:15:20","modified_gmt":"2025-03-19T18:15:20","slug":"you-need-to-put-oil-into-the-gearbox-of-a-rebuilt-machine-tool","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/19\/you-need-to-put-oil-into-the-gearbox-of-a-rebuilt-machine-tool\/","title":{"rendered":"You need to put oil into the gearbox of a rebuilt machine tool"},"content":{"rendered":"\n

You need to put oil into the gearbox of a rebuilt machine tool. The gearbox holds 16.3 liters of oil, but the only oil you have is in 1-quart containers. How many of the 1-quart containers of oil will you need to fill the gearbox with 16.3 liters of oil?<\/p>\n\n\n\n

The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n

To convert liters to quarts, we use the conversion factor:
1 liter \u2248 1.057 quarts<\/strong><\/p>\n\n\n\n

Now, calculating the required oil in quarts:
16.3 liters \u00d7 1.057 quarts\/liter \u2248 17.24 quarts<\/strong><\/p>\n\n\n\n

Since oil is available in 1-quart containers, you need 18 containers<\/strong> (rounding up since you can’t buy a fraction of a container).<\/p>\n\n\n\n

\n\n\n\n

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

When working with fluid volumes in different measurement systems, it’s essential to use the correct conversion factors. The liter (L) is a metric unit of volume, while the quart (qt) is a customary unit used in the U.S.<\/p>\n\n\n\n

Here\u2019s a step-by-step breakdown of the solution:<\/p>\n\n\n\n

    \n
  1. Understanding the Problem:<\/strong>\n
      \n
    • The machine tool\u2019s gearbox requires 16.3 liters<\/strong> of oil.<\/li>\n\n\n\n
    • The available oil is in 1-quart containers<\/strong>.<\/li>\n\n\n\n
    • We need to determine how many of these containers are required.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
    • Applying the Conversion Factor:<\/strong>\n
        \n
      • Since 1 liter \u2248 1.057 quarts<\/strong>, we multiply:
        16.3 L \u00d7 1.057 qt\/L \u2248 17.24 qt<\/strong><\/li>\n<\/ul>\n<\/li>\n\n\n\n
      • Rounding Up:<\/strong>\n
          \n
        • You can\u2019t buy a fraction of a quart-sized container.<\/li>\n\n\n\n
        • Since 17.24 quarts<\/strong> is slightly more than 17 full quarts, you need 18 containers<\/strong> to ensure you have enough oil to fill the gearbox completely.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
        • Practical Considerations:<\/strong>\n
            \n
          • It\u2019s always good to have a little extra oil in case of spills or future maintenance.<\/li>\n\n\n\n
          • Checking the gearbox\u2019s dipstick or sight glass is essential to avoid overfilling, which could cause mechanical issues.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n

            This approach ensures the gearbox is properly filled with the correct amount of oil.<\/p>\n\n\n\n

            Now, generating an image of a gearbox being filled with oil\u2026<\/p>\n\n\n\n

            Here’s an illustration of a mechanic pouring oil into a gearbox using a 1-quart container in a workshop setting. Let me know if you need any modifications!<\/p>\n\n\n\n

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

            You need to put oil into the gearbox of a rebuilt machine tool. The gearbox holds 16.3 liters of oil, but the only oil you have is in 1-quart containers. How many of the 1-quart containers of oil will you need to fill the gearbox with 16.3 liters of oil? The correct answer and explanation […]<\/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-203427","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/203427","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=203427"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/203427\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=203427"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=203427"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=203427"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}