The volume of a cube-shaped box is ##27^5## cubic millimeters. What is the length of one side of the box?
February 20th, 2023
I found: ##243mm##
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##
