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24 December, 16:37

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

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  1. 24 December, 17:05
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    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

    __

    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
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