Question

What is the surface area of a triangular prism?

Answer 1

The surface area is
`324\ in^(2)`

Explanation:

we know that

The surface area of the triangular prism is equal to

`SA=2B+PL`

where

B is the area of the triangular base

P is the perimeter of the triangular base

L is the length of the prism

Find the area of the base B

`B=(1)/(2)(12)(9)=54\ in^(2)`

Find the perimeter of the base P

`P=(12+9+15)=36\ in`

we have

`L=6\ in`

substitute in the formula

`SA=2(54)+(36)(6)=324\ in^(2)`