Volume of a Pyramid Formula

In geometry, a pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex. Each base edge and apex form a triangle, called a lateral face. The volume of a pyramid is the measure of the number of units occupied by the pyramid.

The Volume of a Pyramid Formula is given as,

$\large Volume\;of\;a\;square\;pyramid=\frac{1}{3}b^{2}h$

$\large Volume\;of\;a\;triangular\;pyramid=\frac{1}{6}abh$

$\large Volume\;of\;a\;pentagonal\;pyramid=\frac{5}{6}abh$

$\large Volume\;of\;a\;hexagonal\;pyramid=abh$

Where,
a – apothem length of the pyramid.
b – base length of the pyramid.
h – height of the pyramid.

Volume of a Pyramid Formula solved examples

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

Solution:

Given,
b=4
h=9

$V=\frac{1}{3}b^{2}h$

$=\frac{1}{3}\times4^{2}\times9$

$=48$

So, the volume is $48\,cm^{3}$

 More topics in Volume of a Pyramid Formula Volume of a Square Pyramid Formula

Practise This Question

State whether the following statement is true or false:
The metals like Na, K, Ca, Al cannot be obtained from their compounds by heating with carbon because their metals have more affinity for oxygen than carbon.