Question

What is the surface area of this right prism ?

Answer 1

The answer would be ≈1948.73 in. The formula to solve would be:
A = 6 a h + 3 √3 a²
I hope this helps love! :)

Answer 2

Answer: 1947 square inches.

Step-by-step explanation:

We know that the area of a regular polygon is given by :-

$A=\dfrac{1}{2}\times\text{Perimeter}\times\text{Apothem}$

The perimeter of the hexagon = $6\times11=66$

Apothem = 9.5 in.

The area of the top or bottom of the prism is given by :-

$A=\dfrac{1}{2}\times(66)\times9.5=313.5\text{ in.}$

Area of the 6 faces around the prism having each of width 11 in. , and length of 20 in.= $6\times20\times11=1320\text{ in.}$

Now, the total surface area of the given prism :-

$\text{Area of top face + Area of the bottom face +Area of all 6 faces around the prism }\\\\=313.5+313.5+1320=1947\text{ in.}^2$

Hence, the surface area of the given prism = 1947 square inches.