Answer:
L = 720 cm² ; S = 1239.6 cm²
Explanation:
The area of a hexagon is given by the formula ...
A = (3/2)√3·s²
where s is the side length. Then the area of the two hexagonal bases will be ...
base area = 3√3·(10 cm)² ≈ 519.6 cm²
__
The lateral area is the product of the perimeter of the base and the height of the prism:
L = 6×(10 cm)×(12 cm)
L = 720 cm²
The totals surface area is the sum of lateral area and base area:
S = L + base area = (720 +519.6) cm²
S = 1239.6 cm²