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2014 AMC 12B Question 14

AMC12 · 2014 AMC 12B

Question 14

A rectangular box has a total surface area of $94$ square inches. The sum of the lengths of all its edges is $48$ inches. What is the sum of the lengths in inches of all of its interior diagonals?
  1. $8\sqrt{3}$
  2. $10\sqrt{2}$
  3. $16\sqrt{3}$
  4. $20\sqrt{2}$
  5. $40\sqrt{2}$