Question

Suppose there are two cubes, with the first cube having a side of h, and the second cube having a side of 5h. What is the relation of the volume of the first cube to the volume of the second?

A. V2 = 25V1

B. V2 = 125V1

C. V2 = 5V1

D. V2 = 5hV1

Answer 1

The volume of a cube is calculated by taking the cube of the length of its one side. Thus,

First cube:V1 = h^3
Second cuve: V2 = (5h)^3 = 125h^3

Then, you take the ratio of V2/V1
V2/V1 = 125h^3 / h^3 = 125

Thus,

V2 = 125V1

The answer is B.