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 24 in.3 24 in. cubed 144 in.3 144 in. cubed 96 in.3
The volume of a prism is given by V = B * h, where B is the area of the base and h is the height.
Since the base and height of the prism and pyramids are congruent, the base area of the prism must equal the base area of the pyramid.
The volume of the pyramid is given as 48 in.3, so the volume of the prism will be twice that of the pyramid (since a prism is just 2 pyramids put together).
Therefore, the volume of the prism will be 48 * 2 = 96 in.3.
Therefore, the correct answer is 96 in.3.