Question

What’s the answer for this question to find the triangular prism

Answer 1

The surface area of the triangular prism is
`1,152\ yd^(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 the triangular base

H is the height of the triangular prism

step 1

Find the area of the base B

`B=(1)/(2)bh`

we have

`b=51\ yd`

`h=12\ yd`

substitute

`B=(1)/(2)(51)(12)=306\ yd^(2)`

step 2

Find the perimeter of the base P

`P=37+20+51=108\ yd`

step 3

Find the surface area

`SA=2B+PH`

we have

`B=306\ yd^(2)`

`P=108\ yd`

`H=5\ yd`

substitute

`SA=2(306)+108(5)=1,152\ yd^(2)`