A rectangular pyramid has a volume of 480 in.^3. If a rectangular prism has a base and height congruent to the pyramid, what is the volume of the prism?(1 point)%0D%0A in.^3

Answer 1

The volume of a rectangular pyramid is given by the formula V = (1/3) * B * h, where B is the area of the base and h is the height.

Since the volume of the pyramid is 480 in.^3, we can write this as:
480 = (1/3) * B * h

Since the base and height of the prism are congruent to the pyramid, the base area and height of the prism will be the same as the base area and height of the pyramid.

Therefore, the volume of the rectangular prism will be:
V = B * h

Since B * h = 480 from the pyramid, the volume of the rectangular prism will also be 480 in.^3.