Find the surface area of the prism. A drawing of a right triangular prism. The triangular faces have perpendicular sides 5 centimeters and 12 centimeters and the third side is 13 centimeters. The height of the prism is 16 centimeters.

The surface Area of the prism is 540 square centimeters.

Step-by-step explanation:

Given:

Base side = 5 cm

Base side = 13 cm

Base side = 12 cm

Height of the prism = 16 cm

We need to find the surface area of the prism.

Solution:

Now we know that;

Given prism is a right angled triangular prism.

The formula for Surface area of triangular prism is given by;

where ⇒ Lateral Surface area.

First we will find the value of 's'.

Now we will find

Now we will find the surface area of the prism

Hence The surface Area of the prism is 540 square centimeters.