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    Question

    A hexagonal prism and a hexagonal pyramid have bases with the same side length.(a) and the same height (h). Find the ratio of their volumes.

    A 1:5 Correct Answer Incorrect Answer
    B 2:5 Correct Answer Incorrect Answer
    C 3:5 Correct Answer Incorrect Answer
    D 3:1 Correct Answer Incorrect Answer

    Solution

    Area of a hexagonal base = (3 √ 3/2) a² Volume of the hexagonal prism = (3 √ 3/2) a2h Volume of the hexagonal pyramid = 1/3 × (3 √ 3/2) a²h Ratio of the volumes = ((3 √ 3/2) a²h) / (1/3 × (3 √ 3/2) a²h) = 3/1   = 3:1.

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