Hexagonal Pyramid has a hexagonal base and six triangular lateral faces. It is also called **Heptahedron**. Hexagonal pyramid formula finds the volume, base area and surface area.

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The volume, base area and surface area formula of a **Hexagonal Pyramid** are given below :

**Hexagonal**** P****yramid **: ### Solved Examples

**Question 1: **Find the base area, surface area and volume of a hexagonal pyramid of apothem length 5 cm, base length 8 cm, height 12 cm and slant height 15 cm ?

** Solution: **

**Question 2: **

** Solution: **

Where,

a is apothem length.

b is base length.

s is slant height.

h is height.

Find below solved examples of Given,

a = 5 cm

b = 8 cm

h = 12 cm

s = 15 cm

Base area of a hexagonal pyramid

= 3ab

= 3 $\times$ 5 cm $\times$ 8 cm

= 120 cm^{2}

Surface area of a hexagonal pyramid

= 3ab + 3bs

= (3 $\times$ 5 cm $\times$ 8 cm) + (3 $\times$ 8 cm $\times$ 15 cm)

= 120 cm^{2} + 360 cm^{2}

= 480 cm^{2}

Volume of a hexagonal pyramid

= abh

= 5 cm $\times$ 8 cm $\times$ 12 cm

= 480 cm^{3}

Find the base area, surface area and volume of a hexagonal pyramid of apothem length 4 cm, base length 6 cm, height 8 cm and slant height 10 cm ?

Given,

a = 4 cm

b = 6 cm

h = 8 cm

s = 12 cm

Base area of a hexagonal pyramid

= 3ab

= 3 $\times$ 4 cm $\times$ 6 cm

= 72 cm^{2}

Surface area of a hexagonal pyramid

= 3ab + 3bs

= (3 $\times$ 4 cm $\times$ 6 cm) + (3 $\times$ 6 cm $\times$ 12 cm)

= 288

Volume of a hexagonal pyramid

= abh

= 4 cm $\times$ 6 cm $\times$ 8 cm

= 192 cm^{3}