The surface area of a triangular prism = 2B + PH.

Surface area = BH + (s

_{1}+ s

_{2}+ s

_{3}) H.

Where, ‘B’ is the area of the base, ‘p’ is the perimeter of the base, ‘h’ is the height of a triangular prism, and s

_{1}, s

_{2}, s

_{3}are the sides of a triangle.

Now, we will see how to find the surface area of a triangular prism.

For finding the surface area of a triangular prism, we have to follow the steps given below:

**Step 1:**First, we have to find the base value of a triangular prism.

**Step 2:**Then, we have to find the perimeter of a triangular prism. We know that the perimeter of a triangular prism is the sum of all sides of the prism.

**Step 3:**Now, we have to find the height of the triangular prism.

**Step 4:**When we put all the values in the given surface formula, we get the surface area of a triangular prism.

Now, let us consider an example to find the surface area of a triangular prism.

**Example:**

Find the surface area of a triangular prism, where the triangle sides are (5 inch, 6 inch, 7 inch) and height of a prism is 12 inch.

**Solution:**

The surface area of a triangular prism = BH + (s

_{1}+ s

_{2}+ s

_{3}) H.

**Step 1:**We have to find the perimeter of a triangular prism as follows:

We know that the perimeter of a prism is the sum of all the three sides of a prism.

The three sides are 5 inch, 6 inch, 7 inch.

So, the perimeter = (5 + 6 + 7) inch.

Perimeter = 18 inch.

Triangle base = 5 inch.

Triangle height = 6 inch.

Height = 12 inch.

**Step 2:**Now, put the value in the surface area formula as follows:

The surface area of a triangular prism = BH + (s

_{1}+ s

_{2}+ s

_{3}) H.

Surface area = 5(6) + 18 x 12.

Surface area = 30 + 216.

Surface area = 246 inch

^{2}

The surface area of a triangular prism is 246 inch

^{2}.