Question

Solid A has a volume of 54 ft³. The scale factor of A to B is 2:3. What is the volume of Solid B?

Volume of Solid B = ____________ ft³ (Give exact answer)

Answer 1

Solid B = 81 ft³

Explanation:

Given the following data;

Solid A = 54 ft³

Ratio of A:B = 2:3 = 2 + 3 = 5

To find the volume of solid B;

First of all, we would find the total volume.

Let the total volume be x.

2/5 * x = 54

2x = 54 * 5

2x = 270

x = 270/2

x = 135 ft³

Next, we find the volume of solid B;

Solid B = 3/5 * 135

Solid B = 405/5

Solid B = 81 ft³

Therefore, 54:81 = 2:3