<PRE><B>Question 1117015</B>
the hexagonal base has an area of 165.65 square inches.


the formula for the area of the hexagonal base is 3 * sqrt(3) / 2 * s^2, where s is the side of the hexagon.


the length of a side of the hexagon is 8.7 inches.


3 * sqrt(3) / 2 * 8.7^2 = 196.6483884 which rounds to 196.65.


the height of the hexagonal prism is 16.07 inches.


the hexagonal prism has 6 vertical sides.


the area of each of the sides is equal to 16.07 * 8.7 = 139.809.


6 * that is equal to 838.854.


add the area of the top and bottom base and you get 838.854 + 2 * 196.65 = 1232.154 square inches.


that rounds to 1232.15 square inches which is your second selection down from the top.


the total surface area includes all 6 size plus the bottom and the top or the jewelry box.</PRE>