<u>Given</u>:
The base of each triangular base is 42 m.
The height of each triangular base is 20 m.
The sides of the triangle are 29 m each.
The height of the triangular prism is 16 m.
We need to determine the surface area of the triangular prism.
<u>Surface area of the triangular prism:</u>
The surface area of the triangular prism can be determined using the formula,
![SA=bh+(s_1+s_2+s_3)H](https://tex.z-dn.net/?f=SA%3Dbh%2B%28s_1%2Bs_2%2Bs_3%29H)
where b is the base of the triangle,
h is the height of the triangle,
s₁, s₂ and s₃ are sides of the triangle and
H is the height of the prism.
Substituting the values, we get;
![SA=(42)(20)+(42+29+29)(16)](https://tex.z-dn.net/?f=SA%3D%2842%29%2820%29%2B%2842%2B29%2B29%29%2816%29)
![SA=840+(100)(16)](https://tex.z-dn.net/?f=SA%3D840%2B%28100%29%2816%29)
![SA=840+1600](https://tex.z-dn.net/?f=SA%3D840%2B1600)
![SA=2440](https://tex.z-dn.net/?f=SA%3D2440)
Thus, the surface area of the triangular prism is 2440 m²