use 9 unit multiples to convert 10,000 cubic centimeters to cubic miles

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laurenlovitt12254388 laurenlovitt12254388

01-07-2017
Mathematics

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use 9 unit multiples to convert 10,000 cubic centimeters to cubic miles

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wolf1728 wolf1728 · Answer 1 · 2017-07-01T05:38:12+02:00

2.54 centimeter = 1 inch
(2.54)^3 = 1 cubic inch
16.387064 cc = 1 cubic inch

10,000 cc = how many cubic inches?
10,000 cc * 1 cubic inch / 16.387064 cc =
610.237 cubic inches

How many inches in 1 mile?
5,280 feet / mile * 12 inches /1 foot = 63,360 inches in a mile

(63,360)^3 = 254,358,061,056,000
Therefore, there are 2.54358 * 10^14 cubic inches in a cubic mile
(1 cubic mile / 2.54358 * 10^14 cubic inches) * 610.237 cubic inches =
2.39913 x 10^-12 cubic miles

I probably didn't use 9 unit multiples (because I don't know what that means), but the answer is correct.