The volume of a cube-shaped box is #27^5# cubic millimeters. What is the length of one side of the box?

1 Answer
Gió
Jan 25, 2016

I found: #243mm#

Explanation:

Consider the cube of side length #x#. The volume will be equal to #x^3#.
So if we have the entire volume, #V=27^5#, we can take the cube root of it to get the side length:
#x=root3(27^5)=243mm#

To check it we can try:
#V=243^3=14,348,907mm^3=27^5mm^3#

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