# Volume of a Square Pyramid

## Online Tutoring Is The Easiest, Most Cost-Effective Way For Students To Get The Help They Need Whenever They Need It.

#### SIGN UP FOR A FREE TRIAL

A pyramid consists of 4 triangles joined to a base and these triangles join the base to the tip of the pyramid known as the ‘apex’ or the ‘vertex’ of the pyramid. A pyramid is a 3-dimensional geometric structure and the line joining the center of the base to the vertex is known as the height of the pyramid. A square pyramid is the pyramid which has a square base and the volume of a square pyramid can be calculated by using the area of the square base and the height.

Example 1: What is the volume of a square pyramid whose base length is 6m and the height is 8m?

Given base length of the pyramid, b = 6m

Height of the pyramid, h = 8m

Volume of the pyramid, V = 1/3 * Area of the base * height

Area of the square base = b2 = (6m)2 = 36m2

Volume of the square pyramid, V = 1/3 * 36m 2 * 8m = 96m3

Therefore, volume of the given square pyramid, V = 96m3

Example 2: What is the volume of a square pyramid whose base length is 10m and the height is 12m?

Given base length of the pyramid, b = 10m

Height of the pyramid, h = 12m

Volume of the pyramid, V = 1/3 * Area of the base * height

Area of the square base = b2 = (10m)2 = 100m2

Volume of the square pyramid, V = 1/3 * 100m 2 * 12m = 400m3

Therefore, volume of the given square pyramid, V = 400m3