Answer: 1947 square inches.
Step-by-step explanation:
We know that the area of a regular polygon is given by :-
[tex]A=\dfrac{1}{2}\times\text{Perimeter}\times\text{Apothem}[/tex]
The perimeter of the hexagon = [tex]6\times11=66[/tex]
Apothem = 9.5 in.
The area of the top or bottom of the prism is given by :-
[tex]A=\dfrac{1}{2}\times(66)\times9.5=313.5\text{ in.}[/tex]
Area of the 6 faces around the prism having each of width 11 in. , and length of 20 in.= [tex]6\times20\times11=1320\text{ in.}[/tex]
Now, the total surface area of the given prism :-
[tex]\text{Area of top face + Area of the bottom face +Area of all 6 faces around the prism }\\\\=313.5+313.5+1320=1947\text{ in.}^2[/tex]
Hence, the surface area of the given prism = 1947 square inches.
