# How To Find The Surface Area of a Triangular Prism

## What Is a Triangular Prism?

A triangular prism is a three-dimensional solid object with two triangular faces, three rectangular faces and three planes of symmetry. It is a polyhedron with two faces that are triangular and three rectangular faces. The faces meet at the edges which are all straight lines.

## How to Calculate the Surface Area of a Triangular Prism

To calculate the surface area of a triangular prism, you need to know the base area, the area of each of the three rectangular faces, and the area of each of the triangular faces. The base area is simply the area of the triangle that forms the base of the prism. You can calculate this by using the formula for the area of a triangle, which is 1/2 x base x height.

The area of each of the three rectangular faces can be calculated by multiplying the length of one side by the length of the other side. The area of each of the triangular faces can be calculated by multiplying the length of one side by the height. Once you have the area of each of the faces, add them together to get the total surface area of the prism.

## Example

Let’s say you have a triangular prism with a base of 3 cm, a height of 4 cm, and two sides of 5 cm. The base area would be 1/2 x 3 cm x 4 cm = 6 cm^{2}. The area of each of the three rectangular faces would be 5 cm x 5 cm = 25 cm^{2}. The area of each of the triangular faces would be 5 cm x 4 cm = 20 cm^{2}. The total surface area of the prism would be 6 cm^{2} + 25 cm^{2} + 20 cm^{2} = 51 cm^{2}.

## Conclusion

Calculating the surface area of a triangular prism is a relatively simple process. You just need to know the base area, the area of each of the three rectangular faces, and the area of each of the triangular faces. Once you have these dimensions, you can easily add them together to get the total surface area of the prism.