I rectangular prism has a volume of 252 in.³ if a rectangular pyramid has a base and height congruent to the prism what is the volume of the pyramid
The formula for the volume of a rectangular prism is V = l x w x h, where l is the length, w is the width, and h is the height.
Given that the volume of the prism is 252 in³, we can write this as:
252 = l x w x h
Since the base and height of the rectangular pyramid are congruent to the prism, we can let the base of the pyramid be l x w and the height of the pyramid be h.
The formula for the volume of a rectangular pyramid is V = 1/3 x (l x w) x h.
Substitute l x w and h from the prism into the formula for the pyramid:
V = 1/3 x (252) = 1/3 x 252 = 84 in³
Therefore, the volume of the pyramid is 84 in³.