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    Question

    Three metallic cubes whose sides are 15 cm, 20 cm and

    25 cm respectively are melted and converted into a single cube. If there is no loss of metal in this process, then what is the length of the side of the new cube?
    A 24 cm Correct Answer Incorrect Answer
    B 32 cm Correct Answer Incorrect Answer
    C 30 cm Correct Answer Incorrect Answer
    D 28 cm Correct Answer Incorrect Answer

    Solution

    Let us assume the side of the single cube be X The volume of the first cube = 153 = 3375 cm3 The volume of the second cube = 203 = 8000 cm3 The volume of the third cube = 253 = 15625 cm3 The total volume of all three cubes = The volume of the reshaped single cube X3 = 3375 + 8000 + 15625 X3 = 27000 X = ∛ 27000 = 30 cm ∴ The required result will be 30 cm.

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