**Volume of a Pyramid**

The volume of a 3-dimensional solid is the amount of space it occupies. Volume is measured in cubic units ( in^{3}, ft^{3}, cm^{3}, m^{3} etcetera). The volume enclosed by a pyramid is one third of the base area times the perpendicular height.

A pyramid is any shape that goes up to a point at the top. The base can be any shape, but when the base is a circle it is called a cone.

A pyramid has a base and triangular sides which rise to meet at the same point. The base may be any polygon such as a square, rectangle, triangle, etc. The general formula for the volume of a pyramid is:

**Volume = Area of the base x Height x 1/3 = 1/3 ah**

where, ‘a’ is the area of the base and h is the height of the pyramid.

The volume of a pyramid with a rectangular base is equal to:

**Volume: Length of base x Width of base x Height x 1/3**

**Example: **

A pyramid has a square base of side 4 cm and a height of 9 cm. Find its volume.

Solution:

**V = 1/3 ah**

= 1/3 l^{2}h

= 1/3 (4^{2} x 9) = 48