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

1 answer

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.