Table of Contents

Last modified on August 3rd, 2023

AA hexagonal prism is a three-dimensional solid consisting of two identical hexagonal bases joined together by six lateral faces. The lateral faces are rectangular in shape. It has 8 faces, 18 edges, and 12 vertices.

The shape of pencils, weights, and nuts are some real-life examples of a hexagonal prism.

A 2-dimensional net can be used to construct a hexagonal prism to understand the shape.

A hexagonal prism can be **regular** or **irregular** based on the uniformity of its cross-section. It can also be **right** or **oblique**, depending on the alignment of its bases.

**Regular Hexagonal Prism**– Its 2 bases are regular hexagons.**Irregular Hexagonal Prism**– Its 2 bases are not regular hexagons.

**Right Hexagonal Prism**– It has all the lateral faces perpendicular to the bases. Thus every lateral face is rectangular.**Oblique Hexagonal Prism**– Its lateral faces are not perpendicular to its bases. So, every lateral face is parallelogram-shaped.

Like all other polyhedrons, we can calculate the surface area and volume of a hexagonal prism.

The formula is given below:

**Total Surface Area ( TSA) = 6ab + 6bh**, here

As we know,

**Total Surface Area ( TSA) = 2 × Base Area + Base Perimeter × height**

Also,

Lateral Surface Area (*LSA*) is the sum of the areas of all the faces except the bases.

∴ *LSA* = Base Perimeter × height

Here, Base Perimeter = 6b

∴ *TSA***= 6 ab + LSA, **here

Let us solve an example to understand the concept better.

**Find the lateral and total surface area of a hexagonal prism with a base edge of 9 cm, an apothem of 7.79 cm, and a height of 9.5 cm.**

Solution:

As we know,

Lateral Area (*LSA*) = 6*bh*, here *b* = 9 cm, *h* = 9.5 cm

∴*LSA *=6 × 9 × 9.5

= 513 cm^{2}

Total Surface Area (*TSA*) = 6*ab* + *LSA*, * *here *a* = 7.79 cm, *b* = 9 cm, *h* = 9.5 cm

∴ *TSA* = 6 × 7.79 × 9 + 513

= 933.66cm^{2}

The formula is given below:

**Volume ( V) = 3abh, **here

Let us solve an example to understand the concept better.

**Find the volume of a hexagonal prism with a base edge of 7 cm, an apothem of 6.06 cm, and a height of 4 cm.**

Solution:

As we know,

Volume (*V*) = 3*abh, *here *a* = 6.06 cm, *b* = 7 cm, *h* = 4 cm

∴*V* = 3 × 6.06 × 7 × 4

= 509.04 cm^{3}

**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 August 3rd, 2023