96 in.^3
The volume of a pyramid is given by V = 1/3 * base area * height. Since the base and height are congruent, the base area is the same for both the pyramid and prism.
Given that the volume of the pyramid is 48 in.^3, we can set up the equation:
48 = 1/3 * base area * height
Solving for the base area * height, we get:
base area * height = 48 * 3 = 144 in.^3
Since the prism has the same base area and height as the pyramid, the volume of the prism is:
Volume = base area * height = 144 in.^3
There is a rectangular prism and pyramid with congruent base and height. If the volume of the pyramid is 48 in.^3 , what is the volume of the prism?
16 in.^3
144 in. ^3
24 in.^3
96 in.^3
1 answer
1 answer