Brilio.net – Before knowing the formula for the surface area of a triangular prism, let’s pay attention to its meaning first.

A triangular prism is a three-dimensional shape that has two identical triangular bases and three pairs of parallel rectangular sides. One pair of quadrilateral sides is called the basal quadrilateral, which forms the base of the prism, while the other two pairs of quadrilateral sides are the prism sides.

photo: freepik.com

The sides of this basal quadrangle have a length equal to the length of the two opposite sides of the triangle and a width equal to the length of the sides of the triangle. A triangular prism has two triangular faces and three rectangular sides.

One side of the triangle is the base of the prism, and the other two sides of the triangle are the caps of the prism. Triangular prisms are one of the common prism shapes, but there are also prisms with different base shapes such as rectangular prisms or pentagonal prisms.

## Understanding the Surface Area of a Triangular Prism

The surface area of a triangular prism is the sum of the areas of all the sides of the prism. To calculate the surface area of a triangular prism, we need to calculate the area of all its sides and add them together. There are two parts to take into account:

1. Surface area of two sides of a closed triangular prism.

2. Surface area of three sides of a rectangular prism.

Formula for Surface Area of a Triangular Prism

To calculate the surface area of a triangular prism, you must use the formula for the surface area of a triangular prism as follows:

(L = 2 times text{Area of Closed Triangle} + text{Area of Side Quadrilateral} times 3)

In this formula:

– (L) is the surface area of the triangular prism.

– (text{Area of Closed Triangle}) is the area of one of the closed triangles of the prism.

– (text{Side Area of the Side Quadrangle}) is the area of one side of the side quadrilateral of the prism.

photo: freepik.com

(brl/far)

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