A rectangular prism has a base that is 4 m by 6 m and a height of 10 m. If all dimensions are doubled, what happens to the volume? Explain the steps that you take to arrive at your answer.

When the dimensions of a rectangular prism will be doubled, its volume won't only be doubled but it will be 8 times as much.

The original volume of the rectangular prism is LxWxH.

V = LxWxH

V = (6m) (4m) (10m)

V = 240m³

If we double the dimensions, the volume would be

V = 2L x 2W x 2H

V = 2 x 6m x 2 x 4m x 2 x 10m

V = 2 x 2 x 2 x 6m x 4m x 10m

V = 2³ (6m x 4m x 10m)

V = 2³ x 240m³

V = 8 x 240m³

V = 1920 m³

The new volume now is 1,920 m³, which makes the rectangular prism larger than the original.