Table of Contents

Last modified on August 3rd, 2023

chapter outline

 

Volume of a Hexagonal Pyramid

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 m3, cm3, mm3, and in3.

Formula

The formula is:

Volume of a Hexagonal Pyramid

Let us solve some examples to understand the concept better.

Solved Examples

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 cm3

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
V = 6.93 × 8 × 13
= 720.72 cm3

Last modified on August 3rd, 2023

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