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      Question

      Find the surface area of the smallest cube that can

      perfectly fit a sphere of volume 7776π 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. 7776π = (4/3) x π x R3 Or, 5832 = R3 So, R = 18 So, length of edge of the cube = 18 x 2 = 36 cm Required area = 6 x 362 = 7776 cm2

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