A prism is a solid in which two congruent and parallel polygons from the top and the bottom faces. The lateral faces are parallelograms. There are many types of Prism, and they are named after the shape of their base. A prism having hexagonal base faces is called a hexagonal prism.

### Hexagonal Prism Definition

The hexagonal prism is a prism with 2 hexagonal bases and six rectangular sides. It is an octahedron, with 8 faces, 18 edges, and 12 vertices.

## Volume of a Hexagonal Prism

A hexagonal prism is a prism composed of two hexagonal bases and six rectangular sides. The volume of the hexagonal prism is the three times the product of the apothem height, side of the base and height of the hexagonal prism. If 'a' is the apothem height, 'b' side of the base and 'h' is the side of the prism then, volume, V = 3abh.

### Volume of a Hexagonal Prism Formula

The formula for the volume of any right prism,=> V = Ah

Where, A = area of the base and h = perpendicular height.

Base area of the hexagonal prism = 3ab

=> Volume of the hexagonal prism = 3abh

where, a = apothem height, b = side of the base and h = height of the prism

Formula:

Volume of the Regular hexagonal prism = 3abh

Where, a = apothem height, b = side of the base and h = height of the prism.

## Surface Area of a Hexagonal Prism

For prisms, surface area is the sum of area of two bases and several parallelograms. The surface area of the prism is equal to the perimeter of the base times the sum of the apothem of the polygon and the height of the prism.

### Hexagonal Prism Surface Area Formula

Surface area of a regular hexagonal prism = 6as + 6sh

= 6s(a + h)

Where, a = apothem height, b = side of the base and h = height of the prism.

Formula:

Surface Area of a Regular Hexagonal Prism = 6b(a + h).

Where, a = apothem height, b = side of the base and h = height of the prism.

## Lateral Area of a Hexagonal Prism

The lateral surface area is the area of hexagonal prism without base faces. The lateral area of a prism is the combined area of its lateral faces. The lateral area L of any right prism is equal to the perimeter of the base times the height of the prism.

=> L = Ph

P = 6a

=> L = 6ah

Formula:

Lateral Area of a Hexagonal Prism = 6ah

Where, a = apothem height and h = height of the prism.

## Right Hexagonal Prism

### Regular Hexagonal Prism

A prism having regular hexagonal base faces is called a regular hexagonal prism. A prism is a polyhedron with two congruent bases, and having parallelograms as faces. A right prism has edges perpendicular to the base. A regular prism is a right prism with a regular polygon as the base. A hexagonal prism is a prism with a hexagonal base.

### Oblique Hexagonal Prism

A prism whose lateral edges are not perpendicular to its base or bases are not aligned properly is called an oblique prism.

The regular right hexagonal prism of edge length 'a' has surface area and volume are given as:

### Surface Area of a Right Hexagonal Prism

Surface area of right hexagonal prism based on the prism side.
Surface area of regular right hexagonal prism (A) = 3(2 + $sqrt{3}$)a

Where, a is the side of the prism.

### Volume of a Right Hexagonal Prism

Volume of a right hexagonal prism with two hexagonal bases and six rectangular faces, based on the prism side.
Volume of regular right hexagonal prism (V) = $\frac{3}{2}$$\sqrt{3}$a

Where, a is the side of the prism.