A 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?(1 point) in.3
The volume of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height of the prism.
Given that the volume of the rectangular prism is 252 in.3, we can say:
252 = lwh
Since the base and height of the rectangular pyramid are congruent to the prism, the volume of the pyramid will be one-third of the volume of the prism. This is because the volume of a pyramid is one-third of the volume of a prism with the same base and height.
Therefore, the volume of the rectangular pyramid is:
252 / 3 = 84 in.3
So, the volume of the pyramid is 84 in.3.