Find the surface area of a hexagonal prism with a height of 6 ft, the
length of each side of its hexagonal base is 3 ft and a 2.6 ft radius

Hi!!

The surface area of a prism is the sum of the area of all the sides
plus the area of the two bases.

If B is the area of one base and L is the area of one side, for an
hexagonal prism we have:

Prism's Area = 6*L + 2*B

The area of one hexagonal base is:

B = 0.5 * 2.6 ft * 3 ft * 6 = 23.4 ft^2

and the area of each side is:

L = 3 ft * 6 ft = 18 ft^2

then:

Prism's Area = 6*L + 2*B =
             = 6*18 ft^2 + 2*23.4 ft^2 =
             = 108 ft^2 + 46.8 ft^2 =
             = 154.8 ft^2


For additional reference see the following page:
"Perimeters and Area":
Scroll down the page until the prism's section.
http://argyll.epsb.ca/jreed/math9/strand3/formulae.htm


I hope that this helps you.

Best regards.
livioflores-ga