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    Question

    A hexagonal prism has a base edge of 4 cm and a height

    of 10 cm. What is the total surface area of the prism?
    A 323.14 cm² Correct Answer Incorrect Answer
    B 280 cm² Correct Answer Incorrect Answer
    C 284.64 cm² Correct Answer Incorrect Answer
    D 370.53 cm² Correct Answer Incorrect Answer

    Solution

    Area of one hexagonal base = (6√3/4) * (a²) Where a = 4 cm: = (3√3/2) * (4²) = (3√3/2) * 16 = 24√3 cm². Total area of the two bases = 2 * 24√3 = 48√3 cm². Lateral surface area = perimeter of the base * height = (6 * 4) * 10 = 240 cm². Total surface area = Lateral surface area + Total area of bases = 240 + 48√3 ≈ 240 + 83.14 = 323.14 cm². Correct option: a) 323.14 cm²

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