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    Question

    A cube is painted from the outside for Rs. 6,912. If the

    painting cost is Rs.8 per m², determine the volume of the cube.
    A 1152 cm³ Correct Answer Incorrect Answer
    B 1728 cm³ Correct Answer Incorrect Answer
    C 1062 cm³ Correct Answer Incorrect Answer
    D 1242 cm³ Correct Answer Incorrect Answer

    Solution

    ATQ,

    Total surface area of the cube = (6912 ÷ 8) = 864 m²

    Surface area of a cube = 6a²

    (Where, ‘a’ is the length of each edge of the cube)

    6a² = 864

    ⇒ a² = 144

    ⇒ a = 12 metres

    Volume of the cube = a³ = (12)³ = 1728 cm³

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