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      Question

      Find the surface area of the smallest cube that can

      perfectly fit a sphere of volume 18432π 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

      Solution

      Let the radius of the sphere be 'R' cm. 18432π = (4/3) x π 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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