Year 10 Interactive Maths - Second Edition

Volume of a Pyramid

The volume, V, of a pyramid in cubic units is given by

where A is the area of the base and h is the height of the pyramid.

Volume of a Square-based Pyramid

The volume of a square-based pyramid is given by

Example 39

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

Solution:

Volume of a Rectangular-based Pyramid

The volume of a rectangular-based pyramid is given by

Example 40

Find the volume of a rectangular-based pyramid whose base is 8 cm by 6 cm and height is 5 cm.

Solution:

Volume of a Triangular Pyramid

The volume of a triangular pyramid is given by

Example 41

Find the volume of the following triangular pyramid, rounding your answer to two decimal places.

Solution: