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

Answer 1

To find the volume of the pyramid, we need to use the formula:

Volume = (1/3) * base area * height

First, calculate the base area of the triangular base. Since the base is a triangle, we use the formula for the area of a triangle:

base area = (1/2) * base * height = (1/2) * 10 * 5 = 25 in^2

Now, plug in the values into the formula for the volume of the pyramid:

Volume = (1/3) * 25 * 5 = 125/3 = 41.67 in^3

Therefore, the volume of the pyramid is 41.67 in^3.