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Hexagonal Pyramid Formula

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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Formula of Hexagonal Pyramid

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The volume, base area and surface area formula of a Hexagonal Pyramid are given below :
Where,
a is apothem length.
b is base length.
s is slant height.
h is height.

Examples of Hexagonal Pyramid

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Find below solved examples of Hexagonal Pyramid :

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:
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 cm2

Surface area of a hexagonal pyramid
= 3ab + 3bs
= (3 $\times$ 5 cm $\times$ 8 cm) + (3 $\times$ 8 cm $\times$ 15 cm)
= 120 cm2 + 360 cm2
= 480 cm2

Volume of a hexagonal pyramid
= abh
= 5 cm $\times$ 8 cm $\times$ 12 cm
= 480 cm3


Question 2:
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 ?

Solution:
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 cm2

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 cm3


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