Question

A triangular prism has a height of 9 meters and a triangular base with the following dimensions.

Answer 1

Answer:

The surface area of the prism is $420\ m^{2}$

Step-by-step 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 prism

we have

$H=9\ m$

Find the area of the triangular base

The area is equal to

$B=\frac{1}{2}(16)(6)=48\ m^{2}$

see the attached figure to better understand the problem

Find the perimeter of the triangular base

The perimeter is equal to

$P=(10+10+16)=36\ m$

substitute the values

$SA=2B+PH$

$SA=2(48)+(36)(9)=420\ m^{2}$