SOLUTION: A shipping box measures 14 1/2 inches long by 9 1/8 inches wide by 8 11/16 inches high. What is the volume of the box in cubic feet? Round to the nearest hundredth of a cubic foo

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Question 152460: A shipping box measures 14 1/2 inches long by 9 1/8 inches wide by 8 11/16 inches high. What is the volume of the box in cubic feet? Round to the nearest hundredth of a cubic foot.
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
A shipping box measures 14 1/2 inches long by 9 1/8 inches wide by 8 11/16 inches high. What is the volume of the box in cubic feet? Round to the nearest hundredth of a cubic foot.

Change  to the decimal 
Change  to the decimal 
Change  to the decimal 









Now put this over 



Now we make a unit fraction, using
inches and feet that is a fraction 
that equals 1, that has equal
numerator and denominator, and which
will cancel away the inches. We know
that . Therefore such a
unit fraction is  

But we need to cancel away ,
so we cube the unit fraction and get
 or


Now we multiply by that unit fraction:



Now we can cancel the 



and all we have left is



Divide that out and get:



or to the nearest hundredth of a 



Edwin

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