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    Question

    A solid cube with side 'a' is made of a material

    weighing 400 kg. Another cube is hollow, made of the same material, with an outer side length '3a' and an inner side length '2a'. Find the weight of the hollow cube.
    A 3600 kg Correct Answer Incorrect Answer
    B 3800 kg Correct Answer Incorrect Answer
    C 7600 kg Correct Answer Incorrect Answer
    D 4200 kg Correct Answer Incorrect Answer
    E 4400 kg Correct Answer Incorrect Answer

    Solution

    For the solid cube: Volume of the solid cube = a³ Weight of the solid cube = 400 kg Thus, a³ corresponds to 400 kg. For the hollow cube: Outer side length = 3a Inner side length = 2a Volume of the hollow cube = (3a)³ - (2a)³ = 27a³ - 8a³ = 19a³ Weight of the hollow cube = 19 × 400 = 7600 kg. Answer: c

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