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?

Question

Base: 10 in

Height: 5 in

540

180

50

25

Answer 1

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.