Question

Find the surface area of a triangular prism. The sides of the right triangular base measures 9 centimetres, 12 centimetres and 15 centimetres . The height of the prism is 20 centimetres

Answer 1

Given:

The sides of the right triangular base measures 9 cm, 12 cm and 15 cm.

The height of the prism is 20 cm.

To find:

The surface area of a triangular prism.

Solution:

We know that, the area of a triangular prism is

`A=P* h`

Where, P is the perimeter of the triangular base and h is the height of the prism.

The sides of the right triangular base measures 9 cm, 12 cm and 15 cm. So, the perimeter of the right triangular base is

`P=9+12+15`

`P=36`

Now, the area of the triangular prism is

`A=36* 20`

`A=720`

Therefore, the surface area of a triangular prism is 720 square centimetres.