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

Volume = length * width * height

If we take the volume of the original prism we get

4m * 6m * 10m = 240m³

If we double each dimension of the prism we get

8m * 12m * 20m = 1920m³

now we divide the new volume by the old to see how much it has changed

1920m³/240m³ = 8m³

If the dimensions of the prism are doubled, the volume increases by 8 times the original number