Table of Contents

Last modified on March 28th, 2023

The volume of a hexagonal prism is the space it occupies in the three-dimensional plane. It is measured in cubic units such as m^{3}, cm^{3}, mm^{3}, ft^{3}.

The formula is given below:

Let us solve some examples to understand the concept better.

**Find the volume of a hexagonal prism with a base edge of 10 m, apothem of 8.7 m and a height of 12 m.**

Solution:

As we know,**Volume ( V) = 3abh**, here

∴

= 3132 cm

Finding the volume of a hexagonal prism when **BASE EDGE** and **HEIGHT** are known

**Find the volume of a hexagonal prism with a base edge of 6.5 cm and a height of 10.8 cm.**

Solution:

Here we will use an alternate formula.**Volume ( V) =** ${\dfrac{3\sqrt{3}}{2}\times a^{2}\times h}$ , here b = 6.5 cm, h = 10.8 cm

∴

≈ 1185.502 cm

Finding the volume of an oblique hexagonal prism when **BASE EDGE** and **HEIGHT** are known

**Find the volume of a oblique hexagonal prism given in the figure.**

Solution:

As we know,

The volume of an oblique hexagonal prism is same as the volume of a right hexagonal prism having the height ‘h’

∴**Volume ( V) =** ${\dfrac{3\sqrt{3}}{2}\times a^{2}\times h}$ , here

∴

= 3156.67 cm

**More Resources:**- Volume of a Prism
- Surface Area of a Prism
- Right Prism
- Oblique Prism
- Rectangular Prism
- Volume of a Rectangular Prism
- Surface Area of a Rectangular Prism
- Triangular Prism
- Volume of a Triangular Prism
- Surface Area of a Triangular Prism
- Hexagonal Prism
- Volume of a Hexagonal Prism
- Surface Area of a Hexagonal Prism
- Pentagonal Prism
- Volume of a Pentagonal Prism
- Surface Area of a Pentagonal Prism
- Trapezoidal Prism
- Volume of a Trapezoidal Prism
- Surface Area of a Trapezoidal Prism
- Square Prism
- Volume of a Square Prism
- Surface Area of a Square Prism
- Octagonal Prism
- Heptagonal Prism
- Decagonal Prism

Last modified on March 28th, 2023