Question

A prism and a pyramid both have a triangular base If both shapes have the same height and volume of the pyramid and it's 210 cubic units what is the volume of the prism

Answer 1

The volume of the pyramid is given as 210 cubic units. Since both the prism and the pyramid have the same height, we can use the formula for the volume of a pyramid, which is 1/3 * base area * height.

Let the base area of the pyramid be x, then we have:

1/3 * x * 1 = 210
x = 630

Since the prism has the same base area as the pyramid, the volume of the prism can be calculated using the formula for the volume of a prism, which is base area * height. Therefore, the volume of the prism is:

630 * 1 = 630 cubic units.