Question

The volume of a rectangular prism is 960 cubic inches. If the dimensions of the base are doubled and the height remains the same to create a new prism, what will be the volume of the new rectangular prism in cubic inches?

Answer 1

3840 cubic inches

Explanation:

The volume of a rectangular prism is 960 cubic inches

Let the dimensions be lXwXh,

l=length of the base

w=width of the base

h=height of the base

The volume, lwh=960 cubic inches

If the dimensions of the base are doubled and the height remains the same

Volume of the new rectangular prism=2l X 2w X h =4lwh

=4 X 960 =3840 cubic inches