Question

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

Answer:

The surface area of the prism is $1,664\ mm^{2}$

Step-by-step 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

$B=\frac{1}{2}(24)(16)= 192\ mm^{2}$

Find the perimeter of the triangular face P

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

we have

$L=20\ mm$

substitute the values

$SA=2(192)+(64)(20)=1,664\ mm^{2}$