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

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.