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    Question

    Find the surface area of the smallest cube that can

    perfectly fit a sphere of volume 18432╧А cm3 inside it.┬а┬а
    A 10584 cm┬▓ Correct Answer Incorrect Answer
    B 13824 cm┬▓ Correct Answer Incorrect Answer
    C 17496 cm┬▓ Correct Answer Incorrect Answer
    D 21600 cm┬▓ Correct Answer Incorrect Answer

    Solution

    Let the radius of the sphere be 'R' cm. 18432╧А = (4/3) x ╧А x R3 Or, 13824 = R3 So, R = 24 So, length of edge of the cube = 24 x 2 = 48 cm Required area = 6 x 482 = 13824 cm2

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