Question

Find the surface area. ____ square inches.

Answer 1

The surface area is equal to 38 square inches

Explanation:

we know that

The surface area of the triangular prism is equal to the area of its three rectangular faces plus the area of its two triangular faces

Part 1) Find the area of its three rectangular faces

`A_1=(6)(2)+(2)(4)+(2)(3)=26\ in^2`

Part 2) Find the area of its two triangular faces

`A_2=2[(1)/(2)(6)(2)]=12\ in^2`

Part 3) Find the surface area

`SA=A_1+A_2`

substitute

`SA=26+12=38\ in^2`