The volume of a prism is given by V = (1/2) * base * height. Since both the prism and the pyramid have the same base and height, the volume of the pyramid would be 1/3 times the volume of the prism.
Therefore, the volume of the pyramid would be:
V = (1/3) * 540 = 180 in^3
So the volume of the pyramid is 180 in^3.
A prism and a pyramid both have this triangular base. If both shapes have the same height and the volume of the prism is 540 in3, what is the volume of the pyramid?
Base: 10 in
Height: 5 in
540
180
50
25
1 answer