Question

What is the surface area, in square centimeters, of the three-dimensional figure?

Answer 1

The surface area is
`408\ cm^(2)`

Explanation:

we know that

The surface area of the triangular prism is equal to

`SA=2B+PH`

where

B is the area of the triangular base

P is the perimeter of triangular base

H is the height of the triangular prism

Find the area of the base B

`B=(1)/(2)(8)(6)=24\ cm^(2)`

Find the perimeter of the base P

`P=(8+6+10)=24\ cm`

we have

`H=15\ cm`

substitute and find the surface area

`SA=2(24)+(24)(15)=408\ cm^(2)`