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      Question

      Find the area of a circle whose radius is equal to the

      edge of a cube whose total surface area is 2,646 cm². (Use π = 22/7)
      A 1696 cm² Correct Answer Incorrect Answer
      B 1386 cm² Correct Answer Incorrect Answer
      C 1540 cm² Correct Answer Incorrect Answer
      D 1764 cm² Correct Answer Incorrect Answer

      Solution

      Total surface area of cube = 6 X edge2

      So, 6 X edge2 = 2,646

      Or, edge2 = 441

      Or, edge = 21

      But edge cannot be negative. So, edge = 21 cm

      Area of circle = π X radius2 = (22/7) x 212 = 1,386 cm2

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