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    Question

    A cube and a square pyramid have the same side length

    (s) for the base and the same height (h). Assuming the height equals the side length, find the ratio of their volumes.
    A 3:5 Correct Answer Incorrect Answer
    B 3:1 Correct Answer Incorrect Answer
    C 3:4 Correct Answer Incorrect Answer
    D 2:3 Correct Answer Incorrect Answer

    Solution

    Volume of the cube = s³ Volume of the square pyramid = 1/3 x s²h = 1/3 x s³ (since h=s) Ratio of the volumes = s³ / (1/3 x s³) = 3/1 = 3:1.

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