A rectangular pyramid has a volume of 480 in cubic if a rectangular prism has a base and height congruent to the pyramid what is the volume of the prism
Since the volume of the rectangular pyramid is 480 cubic inches and the volume of a rectangular pyramid is given by the formula:
Volume = (1/3) × base area × height
We can rearrange the formula to solve for the base area:
Base area = (3 × Volume) ÷ height
Plugging in the values:
Base area = (3 × 480) ÷ height = 1440 ÷ height
Since the base and height of the rectangular prism are congruent to the rectangular pyramid, the base area and height of the prism are also the same.
Therefore, the volume of the rectangular prism with the same base and height as the pyramid is:
Volume = base area × height = 1440 cubic inches.