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      Question

      The sum of total surface area of two cubes is

      1248-centimeter square. If the product of the length of their edges is 96 centimeter square. Find the difference between the length of their edges.
      A 6 Correct Answer Incorrect Answer
      B 9 Correct Answer Incorrect Answer
      C 5 Correct Answer Incorrect Answer
      D 4 Correct Answer Incorrect Answer
      E 3 Correct Answer Incorrect Answer

      Solution

      Let the length of the edges of the two cube be тАШaтАЩ centimeter and тАШbтАЩ centimeter respectively. According to question, 6a┬▓ + 6b┬▓ = 1248 a┬▓ + b┬▓ = 208 And ab = 96 Using the formula, x┬▓ + y┬▓ = (x - y)┬▓ = 2xy 208 = ┬а (a - b)┬▓ +2*96 (a - b)┬▓ =┬а = 208-196 (a - b)┬▓ ┬а=16 ┬а a-b =┬а ┬▒ 4 The desired difference = 4 cm┬а

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