Answer:
The surface area of the triangular prism is [tex]420\ m^{2}[/tex]
Step-by-step explanation:
we know that
The surface area of the triangular prism is equal to
[tex]SA=2B+PL[/tex]
where
B is the area of the triangular base
P is the perimeter of the triangular base
L is the length of the triangular prism
Find the area of the base B
[tex]B=\frac{1}{2}(16)(6)=48\ m^{2}[/tex]
Find the perimeter of the base P
[tex]P=16+10+10=36\ m[/tex]
we have
[tex]L=9\ m[/tex]
substitute the values
[tex]SA=2(48)+(36)*9=420\ m^{2}[/tex]
