A regular hexagonal prism has a height of 12 cm and base edge length of 10 cm. Identify its lateral area and surface area.

L = 620 cm2; S = 942.6 cm2

L = 720 cm2; S = 1239.6 cm2

L = 720 cm2; S = 1759.2 cm2

L = 720 cm²; S = 1239.6 cm²

Step-by-step 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

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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