 # Hexagonal Pyramid Formula

A pyramid that has a hexagonal base, that is, base with six sides and 6 triangular lateral faces, then it is a hexagonal pyramid. It is also called as the Heptahedron.

## Formula of Hexagonal Pyramid

Base area of a hexagonal pyramid = 3ab
Surface area of a hexagonal pyramid = 3ab+3bs
Volume of a hexagonal pyramid = abh

Where,
a is apothem length.
b is base length.
s is slant height.
h is height.

### Solved Examples

Question 1: Find the base area, surface area and volume of a hexagonal pyramid of apothem length 4 cm, base length 7 cm, height 10 cm and slant height 15 cm ?
Solution:

Given,
a = 4 cm
b = 7 cm
h = 10 cm
s = 15 cm
Base area of a hexagonal pyramid
= 3ab
= 3
$$\begin{array}{l}\times\end{array}$$
4 cm
$$\begin{array}{l}\times\end{array}$$
7 cm
= 84 cm2
Surface area of a hexagonal pyramid
= 3ab + 3bs
= (3
$$\begin{array}{l}\times\end{array}$$
4 cm
$$\begin{array}{l}\times\end{array}$$
7 cm) + (3
$$\begin{array}{l}\times\end{array}$$
7 cm
$$\begin{array}{l}\times\end{array}$$
15 cm)
= 84 cm2 + 315 cm2
= 399 cm2
Volume of a hexagonal pyramid
= abh
= 4 cm
$$\begin{array}{l}\times\end{array}$$
7 cm
$$\begin{array}{l}\times\end{array}$$
10 cm
= 280 cm3