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    Question

    Find the surface area of the smallest cube that can

    perfectly fit a sphere of volume 26244π cm3 inside it.  
    A 10584 cm² Correct Answer Incorrect Answer
    B 13824 cm² Correct Answer Incorrect Answer
    C 17496 cm² Correct Answer Incorrect Answer
    D 21600 cm² Correct Answer Incorrect Answer
    E 26136 cm² Correct Answer Incorrect Answer

    Solution

    Let the radius of the sphere be 'R' cm. 26244π = (4/3) x π x R3 Or, 19683 = R3 So, R = 27 So, length of edge of the cube = 27 x 2 = 54 cm Required area = 6 x 542 = 17496 cm2

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