# Hexagonal Prism – Definition With Examples

## What is a Prism?

A prism is a three-dimensional solid figure with flat faces and two identical bases. The two bases of a prism are polygons like a triangle, a square, a rectangle, or a hexagram. A prism is usually named after the polygon that forms its base.

For example, a triangular prism has two triangles as its bases.

A rectangular prism has two rectangles as its bases.

Based on this, can you guess what a hexagonal prism is?

## What is a Hexagonal Prism?

A hexagonal prism is defined as a prism with a hexagonal base and top. A hexagonal prism has 8 faces, 18 edges, and 12 vertices.

Out of the 8 faces, 6 are parallelograms, and 2 are hexagons, and that’s why it is called a hexagonal prism. These hexagons are at the base and the top as the opposite faces of a prism are the same.

Alt Tag: Solid hexagonal prism marked with base, face, and vertex

## Real-Life Examples of Hexagonal Prisms

Hexagonal prisms might not be as common as other prisms, but they can still be found around us. Some of its examples are boxes, nuts, pencils, weights, buildings, vases, etc.

## Net of a Hexagonal Prism

We can form a hexagonal prism using its net, as shown below.

The net of a 3D object shows the faces of that object when it is opened flat. On folding the net, we get the 3D object.

## How to Calculate the Volume of a Hexagonal Prism?

The volume of a hexagonal prism refers to the space that it occupies. The volume of any prism can be calculated with this equation:

Volume = base area × height of the prism

The base area is the surface area of the polygon base. In this case, it is the hexagon.

It is measured in square units (like square inches or square feet) because it describes the surface area.

The height is the column that connects the two bases of the prism. It is measured in single units (like inches or feet) since it describes the length of the column.

When you multiply the base area with the height, the resulting value is in cubic units, like cubic inches, cubic yards, cubic feet, or cubic meters. These units measure the volume of a three-dimensional figure.

## Fun Fact

The hexagonal face of a hexagonal prism can either be a regular hexagon or an irregular hexagon. If it is a regular hexagon, then all the angles of the hexagon are the same. If it is an irregular hexagon, then the angles of the hexagon are different.

## Solved Examples

Example 1. How many total faces does a hexagonal prism have?

Alt Tag: Hexagonal prism

Answer. A hexagonal prism has 8 faces in total – two bases and 6 sides.

Example 2. What polygons make up the sides of a hexagonal prism?

Answer. The sides of a hexagonal prism are parallelograms or rectangles.

Example 3. The base of a hexagonal prism has a surface area of 475 inch². The height is 8 inches. Calculate the volume.

Answer. Volume = base area × height

Base area = 475 inch²

Height = 8 inches

Volume = 475 × 8 = 3800 inch³

Example 4. The volume of a hexagonal prism is 150 inch³. The surface area of the base is 10 inch². What is the height?

Answer. Volume = base area x height

Volume = 150 inch³

Surface area = 10 inch²

150 = 10 × height

Height =150/10 = 15

So, the height is 15 inches.

## Practice Problems

1

### How many edges and vertices does a hexagonal prism have?

24 edges and 36 vertices
18 edges and 12 vertices
12 edges and 18 vertices
24 edges and 30 vertices
CorrectIncorrect
Correct answer is: 18 edges and 12 vertices
A hexagonal prism has 18 edges and 12 vertices.
2

### The base of a hexagonal prism has a surface area of 250 inch². The height is 20 inches. Calculate the volume.

12.5 inch³
5000 inch³
4625 inch³
3341 inch²
CorrectIncorrect
Base area = 250 inch²
Height = 20 inches
Volume = base area x height
= 250 × 20
Volume = 5000 inch³
3

### The volume of a hexagonal prism is 250000 cm³. The surface area of the base is 1000 cm². What is the height?

2500 cm
25 cm²
0.65 m²
250 cm
CorrectIncorrect
Volume = 250000 cm³
Base area = 1000 cm
Volume = base area × height
250000 = 1000 × height
Height = 250000/1000
= 250 cm