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Last modified on August 3rd, 2023

The volume of a hexagonal pyramid is the space it occupies in a 3-dimensional plane. It is the capacity of a hexagonal pyramid or the number of unit cubes that can be fit into it. The volume is expressed in cubic units such as m^{3}, cm^{3}, mm^{3}, and in^{3}.

The formula is:

Let us solve some examples to understand the concept better.

**Find the volume of a hexagonal pyramid with a base of 5 cm, and a height of 8.5 cm.**

Solution:

As we know,

Volume (*V*) = ${\dfrac{\sqrt{3}}{2}b^{2}h}$, here b = 5 cm, h = 8.5 cm

∴*V* = ${\dfrac{\sqrt{3}}{2}\times 5^{2}\times 18.5}$

= 184.03 cm^{3}

Finding the volume of a hexagonal pyramid when **APOTHEM**, **BASE**, and **HEIGHT** are known

**Find the volume of a hexagonal pyramid with a base of 8 cm, an apothem of 6.93 cm, and a height of 13 cm.**

Solution:

Here, we will use an alternative formula.**Volume ( V) = abh, **here a = 6.93 cm, b = 8 cm, h = 13 cm

∴

= 720.72 cm

Last modified on August 3rd, 2023