The surface-to-volume ratio of a cube 1 centimeter on a side is 6 (the cube has a surface area of 6 square centimeters, a volume of 1 cubic centimeter). What would be the surface-to-volume ratio of a cube 2 centimeters on a side?
A) 6
B) 1/2
C) 3
D) 20
E) 1

Question

Quizplus · Accepted Answer

For a cube with a side length of 2 cm, the surface area is $6 \times (2^2) = 24$ square centimeters (since each of the 6 faces is 4 square centimeters), and the volume is $2^3 = 8$ cubic centimeters. The surface-to-volume ratio is therefore $24/8 = 3$.

The Surface-To-Volume Ratio of a Cube 1 Centimeter on a Side