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    Question

    Find the surface area of the smallest cube that can

    perfectly fit a sphere of volume 288π cm3 inside it.  
    A 3456 cm² Correct Answer Incorrect Answer
    B 5400 cm² Correct Answer Incorrect Answer
    C 7776 cm² Correct Answer Incorrect Answer
    D 864 cm² Correct Answer Incorrect Answer

    Solution

    Let the radius of the sphere be 'R' cm. 288π = (4/3) x π x R3 Or, 216 = R3 So, R = 6 So, length of edge of the cube = 6 x 2 = 12 cm Required area = 6 x 122 = 864 cm2

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