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

$A=P\times h$

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

$A=36\times 20$

$A=720$

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