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How to Find the Volumes of Pyramids

A pyramid belongs to a class of three-dimensional objects known as polyhedrons. It has a polygonal base with triangular shapes adjacent to each side. The triangular sides, or faces, of the pyramid join at the apex, at its top. The volume of a pyramid is calculated by multiplying the area of the base by the height, then dividing that product by 3, where the base is any polygon and the height is the distance from the center of the base to the apex.

Calculator

Instructions

- 1
  Calculate the pyramid's base area. (See Resource 1) For example, if the base is a square with sides measuring 5, calculate the square's area by squaring the length of one side. Multiplying 5 by 5 results in 25.
- 2
  Multiply the base area by the pyramid's height. If this pyramid's height is 6, multiply 6 by 25 to get 150.
- 3
  Divide the product of the base area and the height by 3 to calculate the volume. Concluding this example, 150 divided by 3 equals 50. The pyramid's volume is 50.

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