Question

PLEASE HELP 

A triangular prism is 20 millimeters long and has a triangular face with a base of 24 millimeters and a height of 16 millimeters. The other two sides of the triangle are each 20 millimeters. What is the surface area of the triangular prism?

Answer 1

The surface area of the prism is
`1,664\ mm^(2)`

Explanation:

we know that

The surface area of the triangular prism is equal to

`SA=2B+PL`

where

B is the area of the triangular face

P is the perimeter of the triangular face

L is the length of the triangular prism

Find the area of the triangular face B

`B=(1)/(2)(24)(16)= 192\ mm^(2)`

Find the perimeter of the triangular face P

`P=(24+20+20)= 64\ mm`

we have

`L=20\ mm`

substitute the values

`SA=2(192)+(64)(20)=1,664\ mm^(2)`