Rectangular prism and rectangular pyramid with congruent bases and height. Volume of pyramid is 48 in cubed what is the volume of the prism
The volume of a rectangular pyramid is given by the formula:
V = (1/3) * base area * height
Since the rectangular prism and rectangular pyramid have congruent bases and height, their base area and height are the same. Let's denote the base area as A and the height as h.
Given that the volume of the pyramid is 48 in cubed, we have:
48 = (1/3) * A * h
A * h = 144
The volume of a rectangular prism is given by the formula:
V = base area * height
Since the base area and height are the same for both the prism and pyramid, the volume of the prism will be:
V = A * h = 144 in cubed
Therefore, the volume of the rectangular prism is 144 in cubed.