{"id":191300,"date":"2025-02-14T11:53:32","date_gmt":"2025-02-14T11:53:32","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=191300"},"modified":"2025-02-14T11:53:34","modified_gmt":"2025-02-14T11:53:34","slug":"convert-0-092-ft3-to-l-2-54-cm-1-in-1-l-1-dm3","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/02\/14\/convert-0-092-ft3-to-l-2-54-cm-1-in-1-l-1-dm3\/","title":{"rendered":"Convert 0.092 ft3 to L. (2.54 cm = 1 in., 1 L = 1 dm3)"},"content":{"rendered":"\n

Convert 0.092 ft3 to L. (2.54 cm = 1 in., 1 L = 1 dm3)<\/p>\n\n\n\n

[A] 2.6 L<\/p>\n\n\n\n

[B] 3.2 \u00d7 10-3 L<\/p>\n\n\n\n

[C]0.40 L<\/p>\n\n\n\n

[D]1.8 L<\/p>\n\n\n\n

[E]26 L<\/p>\n\n\n\n

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

To convert 0.092 cubic feet (ft\u00b3) to liters (L), let’s break the process into steps.<\/p>\n\n\n\n

Step 1: Convert cubic feet to cubic inches<\/h3>\n\n\n\n

Since we know that 1 foot = 12 inches, we can convert cubic feet to cubic inches using the conversion factor:
[
1 \\, \\text{ft} = 12 \\, \\text{in.}
]
This means:
[
1 \\, \\text{ft}^3 = 12^3 \\, \\text{in.}^3 = 1728 \\, \\text{in.}^3
]
Therefore, to convert 0.092 ft\u00b3 to cubic inches:
[
0.092 \\, \\text{ft}^3 \\times 1728 \\, \\text{in.}^3\/\\text{ft}^3 = 158.4 \\, \\text{in.}^3
]<\/p>\n\n\n\n

Step 2: Convert cubic inches to cubic centimeters<\/h3>\n\n\n\n

We are given the conversion factor 2.54 cm = 1 inch, which implies:
[
1 \\, \\text{in.} = 2.54 \\, \\text{cm}
]
So, to convert cubic inches to cubic centimeters (cm\u00b3), we cube the linear conversion factor:
[
1 \\, \\text{in.}^3 = (2.54)^3 \\, \\text{cm}^3 = 16.387 \\, \\text{cm}^3
]
Now, we convert 158.4 in\u00b3 to cm\u00b3:
[
158.4 \\, \\text{in.}^3 \\times 16.387 \\, \\text{cm}^3\/\\text{in.}^3 = 2597.4 \\, \\text{cm}^3
]<\/p>\n\n\n\n

Step 3: Convert cubic centimeters to liters<\/h3>\n\n\n\n

We are also given that 1 liter (L) = 1 cubic decimeter (dm\u00b3) and that:
[
1 \\, \\text{dm} = 10 \\, \\text{cm}
]
Therefore, 1 dm\u00b3 = 1000 cm\u00b3. Now, we convert 2597.4 cm\u00b3 to liters:
[
2597.4 \\, \\text{cm}^3 \\div 1000 = 2.6 \\, \\text{L}
]<\/p>\n\n\n\n

Thus, the correct answer is [A] 2.6 L<\/strong>.<\/p>\n\n\n\n

Explanation Summary:<\/h3>\n\n\n\n
    \n
  • We first converted cubic feet to cubic inches (0.092 ft\u00b3 to 158.4 in\u00b3).<\/li>\n\n\n\n
  • Then, we converted cubic inches to cubic centimeters using the conversion factor (158.4 in\u00b3 to 2597.4 cm\u00b3).<\/li>\n\n\n\n
  • Finally, we converted cubic centimeters to liters (2597.4 cm\u00b3 to 2.6 L).
    This approach is based on standard unit conversions between length, volume, and mass.<\/li>\n<\/ul>\n\n\n\n

    I’ll generate an image to illustrate this conversion process.<\/p>\n\n\n\n

    Here is the educational illustration that visually demonstrates the conversion process from 0.092 cubic feet to liters. It breaks down the steps clearly, showing how to convert cubic feet to cubic inches, cubic inches to cubic centimeters, and cubic centimeters to liters.<\/p>\n\n\n\n

    Let me know if you need any further clarification!<\/p>\n\n\n\n

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

    Convert 0.092 ft3 to L. (2.54 cm = 1 in., 1 L = 1 dm3) [A] 2.6 L [B] 3.2 \u00d7 10-3 L [C]0.40 L [D]1.8 L [E]26 L The Correct Answer and Explanation is : To convert 0.092 cubic feet (ft\u00b3) to liters (L), let’s break the process into steps. Step 1: Convert cubic […]<\/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-191300","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/191300","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=191300"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/191300\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=191300"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=191300"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=191300"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}