Question

The rectangular prism is increased by a factor of three. By what factor does the volume increase?

Answer 1

27

Explanation:

Suppose that the dimensions of the rectangular prism are L, W and H.

Then the volume is V = L*W*H.

If you mean to increase EACH dimension by a factor of 3, then we' have

V = (3L)*(3W)*(3H), or V = 27 L*W*H.

The volume of the modified prism would be 27 times larger than that of the original prism.