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    Question

    The volume of a cube is given as

    8×(x+3)3 m3. The length of a rectangle is twice the side length of the cube, and its breadth is 20m. The area of the rectangle is 560 m2. Calculate the surface area of the cube if the side length of the cube is 'x' m.
    A 58 m² Correct Answer Incorrect Answer
    B 76 m² Correct Answer Incorrect Answer
    C 55 m² Correct Answer Incorrect Answer
    D 75 m² Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Side of the cube = (8 × (x + 3)3)1/3 = 2 × (x + 3) = 2x + 6 Length of the rectangle = 2 × (2x + 6) m 2 × (2x + 6) × 20 = 560 2x + 6 = 14 2x = 8 x = 4 m Surface Area of the cube = 6 × 4 = 96 m2

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