The side lengths of two different cubes are 35 cm and 42 cm. What is the ratio of the volume of the smaller to the volumes of the larger?

First we look for the result of the volume for both:

the smaller:

V1 = (35) ^ 3

V1 = 42875 cm ^ 3

the larger

V1 = (42) ^ 3

V1 = 74088 cm ^ 3

Then, we have to:

V1 / V2 = (42875) / (74088)

V1 / V2 = 0.578703704

Answer:

The ratio of the volume of the smaller to the volumes of the larger is:

V1 / V2 = 0.578703704