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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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