Question

John has a box that is in the shape of a cube (i.
e., all sides are the same length). The volume of the cube is 27 cubic inches. What is the distance around the perimeter of the bottom of the box?

Answer 1

A box (cube) has all equal edges or sides (s), thus the volume (v) of the cube is:
$v = {s}^{3} \\ 27 \: {in}^{3} = {s}^{3} \\ \sqrt{( {s}^{3}) } = \sqrt{( {27in}^3)} \\ s = 3 \: in$
So since each side or edge around is 3 in, then the length around the square bottom of the box = 4×3 = 12 in