Given:
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.
Surface area of the triangular prism:
The surface area of the triangular prism can be determined using the formula,
[tex]SA=bh+(s_1+s_2+s_3)H[/tex]
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;
[tex]SA=(42)(20)+(42+29+29)(16)[/tex]
[tex]SA=840+(100)(16)[/tex]
[tex]SA=840+1600[/tex]
[tex]SA=2440[/tex]
Thus, the surface area of the triangular prism is 2440 m²
