The volume of an object is it's length*width*height.
so 27= l*w*h
a cube's sides all have the same length,
so the cube's l=w=h
use substitution (choose any one of the variables, since they are equal)
so
27=l*l*l
27=l^3
take the cube root of each side
3=l
since l=w=h, all three edges are 3 units long.