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:

Study Another Topic in Chapter 14: Measurement

[ Pythagoras' Theorem ] [ Perimeter ] [ Problem Solving ] [ Area ] [ Area of a Parallelogram ] [ Area of a Rhombus ] [ Area of a Trapezium ] [ Area of a Circle ] [ Area of a Composite Figure ] [ Problem Solving ] [ Surface Areas ] [ Total Surface Area of a Cuboid ] [ Curved Surface Area of a Cylinder ] [ Total Surface Area of a Cylinder ] [ Total Surface Area of a Pyramid ] [ Total Surface Area of a Cone ] [ Surface Area of a Sphere ] [ Volume ] [ Volume of a Cuboid ] [ Volume of a Cylinder ] [ Volume of a Triangular Prism ] [ Capacity ] [ Volume of a Pyramid ] [ Volume of a Cone ] [ Volume of a Sphere ] [ Problem Solving ] [ Problem Solving Unit ] [ Projects ] [ Symbols ] [ Index ]