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If you know the volume of an object in cubic inches, can you find its volume in cubic feet by dividing by 12? Explain your answer.

If you know the volume of an object in cubic inches, can you find its volume in cubic feet by dividing by 12? Explain your answer.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Question:** If you know the volume of an object in cubic inches, can you find its volume in cubic feet by dividing by 12? Explain your answer. **Explanation:** When converting volume from cubic inches to cubic feet, dividing by 12 is not sufficient. This is because there are 12 inches in a foot, and volume conversions require cubing this conversion factor, since volume is a three-dimensional measurement. To convert cubic inches to cubic feet, you need to divide by \(12^3\), which is 1,728, not 12. This is because: 1 foot = 12 inches, so: 1 cubic foot = \(12 \times 12 \times 12 = 1,728\) cubic inches. Thus, to convert the volume of an object from cubic inches to cubic feet, you divide by 1,728, not 12.
Transcribed Image Text:**Question:** If you know the volume of an object in cubic inches, can you find its volume in cubic feet by dividing by 12? Explain your answer. **Explanation:** When converting volume from cubic inches to cubic feet, dividing by 12 is not sufficient. This is because there are 12 inches in a foot, and volume conversions require cubing this conversion factor, since volume is a three-dimensional measurement. To convert cubic inches to cubic feet, you need to divide by \(12^3\), which is 1,728, not 12. This is because: 1 foot = 12 inches, so: 1 cubic foot = \(12 \times 12 \times 12 = 1,728\) cubic inches. Thus, to convert the volume of an object from cubic inches to cubic feet, you divide by 1,728, not 12.
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