# How to find the surface area of a right triangular prism?

We find the sum of areas of all the sides and faces of a right triangular prism to determine its surface area.

## Answer: The formula to calculate the surface area of a right triangular prism is given by S1 × h + (S1_{ }+ S2_{ }+ h) L

A right triangular prism is a three-dimensional solid that has three rectangular sides and two right triangular faces.

**Explanation:**

The formula to calculate the surface area of a right triangular prism is given as S1 × h + (S1_{ }+ S2_{ }+ h) L

Here, 'h' is the height of the base triangle, S1 is the base edge, S2 is the hypotenuse and L is the base length of the prism as shown in the figure.

Let us take an example to find the surface area of a right triangular prism. Let the base of a right triangle be 5 units, the height of the triangle be 12 units, the length of a prism be 11 units and the hypotenuse of a right triangle be 13 units.

Surface area of a right triangular prism = 5 × 12 + (5 + 13 + 12) × 11 squared units

= 60 + (30) ×11 squared units

= 390 squar units

### So, the formula to calculate the surface area of a right triangular prism is given by S1h + (S1_{ }+ S2_{ }+ h) L

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