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
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