Question

Barry has two cubes of different sizes. The first cube has a volume of 1 cubic unit. The second cube has sides one-third as long as the first cube does. What is the volume of the second cube?

Answer 1

1/27 units cubed or 0.037037... units cubed

Explanation:

Volume of a cube = s*s*s : Where s is a side length.

The volume of the first cube is 1 cubed, which means that each side length is 1. (s=1)

The volume of the second cube in relation to the first cube can be found by multiplying each side length by 1/3.

Volume of second cube= (1/3s)(1/3s)(1/3)s

Volume of second cube= (1/3)(1/3)(1/3)

Volume of second cube= 1/27