Area Of A Hexagonal Pyramid

A pyramid that has a hexagonal base, that is, base with 6 sides and 6 triangular lateral faces, then information technology is a hexagonal pyramid. It is also chosen as the Heptahedron.

Examples of Hexagonal Pyramid

Formula of Hexagonal Pyramid

Base expanse 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 of operations length.

due south is slant height.

h is height.

Solved Examples

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

Given,

a = 4 cm

b = seven cm

h = 10 cm

south = 15 cm

Base area of a hexagonal pyramid

= 3ab

= iii

\(\begin{array}{fifty}\times\end{array} \)

iv cm

\(\begin{assortment}{50}\times\end{assortment} \)

vii cm

= 84 cm²

Surface expanse of a hexagonal pyramid

= 3ab + 3bs

= (3

\(\begin{array}{l}\times\end{assortment} \)

4 cm

\(\begin{assortment}{fifty}\times\terminate{array} \)

7 cm) + (3

\(\begin{assortment}{l}\times\stop{array} \)

vii cm

\(\begin{assortment}{l}\times\finish{array} \)

15 cm)

= 84 cmⁱⁱ + 315 cmⁱⁱ

= 399 cm²

Volume of a hexagonal pyramid

= abh

= 4 cm

\(\begin{assortment}{l}\times\finish{array} \)

7 cm

\(\begin{assortment}{l}\times\stop{array} \)

10 cm

= 280 cm^three