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

Answer:

The surface area is $2,440\ m^{2}$

Step-by-step 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

$B=\frac{1}{2}(42)(20)=420\ m^{2}$

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

$SA=2(420)+100(16)=2,440\ m^{2}$