There is a rectangular prism and pyramid with congruent bases and height. If the volume of the pyramid is 48 in.3 , what is the volume of the prism?(1 point) Responses 16 in.3 16 in. cubed 144 in.3 144 in. cubed 96 in.3 96 in. cubed 24 in.3
The volume of a pyramid is given by the formula V = (1/3) * base area * height.
Since the prism and pyramid have congruent bases and height, the base area and height of the prism are the same as that of the pyramid. Therefore, the volume of the prism can be calculated using the same formula as the pyramid, which gives:
V = (1/3) * base area * height = (1/3) * 48 in.3 = 16 in.3
Therefore, the volume of the prism is 16 in.3.