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Answer:  4 feet
The string passes 2 times along the length, 4 times along the breadth and 6 times along the depth.
÷ 2 = 2
÷ 4 = 1
÷ 6 = 2/3

  2 x 2 = 4
  1 x 4 = 4
2/3 x 6 = 4

4+4+4 = 12 feet of string

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