Question

There are two prisms. They are similar. One has a side length of 5 inches and a volume of 300 inches cubed, while the other has a side length of 6 inches. What is its volume?

Answer 1

518.4 in³

Explanation:

We Know

The volumes of two similar shapes are proportional to the cubes of their corresponding side lengths.

What is its volume?

We use the formula:

V2 ÷ V1 = ( l2 ÷ l1 )³

V1 and l1 are the volume and side length of the first prism, and V2 and l2 are the volume and side length of the second prism.

V2 / 300 = (6 ÷ 5)³

V2 / 300 = 1.728

Multiplying both sides by 300, we get:

V2 = 300 · 1.728

V2 = 518.4 in³

So, the volume is 518.4 in³