# Volume of a Pyramid Formula

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A pyramid is a 3-dimensional solid geometric figure which consists of a base and there are 4 triangles placed on the base. The 4 triangles connect the base to the topmost point of the pyramid known as the ‘apex’ or the ‘vertex’ of the pyramid. Volume of a pyramid is the measure of the space contained inside it. There can be different kinds of bases such as a square base or a rectangular base and the volume depends on the height and the area of its base.

Example 1: What is the volume of a rectangular base pyramid whose base length is 6m, width is 5m and the height is 8m?

Given base length of the pyramid, l = 6m

Width of the base, w = 5m

Height of the pyramid, h = 8m

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

Area of the rectangular base = length * width = 6m * 5m = 30m2

Volume, V = 1/3 * 30m 2 * 8m = 80m3

Therefore, volume of the given pyramid, V = 80m3

Example 2: What is the volume of a square base pyramid whose base length is 7m and the height is 12m?

Given base length of the pyramid, b = 7m

Height of the pyramid, h = 12m

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

Area of the square base = b2 = (7m)2 = 49m2

Volume, V = 1/3 * 49m 2 * 12m = 196m3

Therefore, volume of the given pyramid, V = 196m3