Question

What Is The Surface Area Of this triangular prism? The Base Of Each Triangle 42m And the height of the triangular base is 20m. (Not A Multiple Choice Question)

Answer 1

The surface area is
`2,440\ m^(2)`

Explanation:

see the attached figure to better understand the problem

we know that

The surface area of a triangular prism is equal to

`SA=2B+PH`

where

B is the area of the triangular base

P is the perimeter of the triangular face

H is the height of the prism

Find the area of the base B

`B=(1)/(2)(42)(20)=420\ m^(2)`

Find the perimeter of the base P

`P=(42+29+29)=100\ m`

we have

`H=16\ m`

substitute the values

The surface area is

`SA=2(420)+100(16)=2,440\ m^(2)`