The volume of a rectangular prism is 60 cubic in and the lengths of its edges are all whole numbers. What is the number of inches in the largest possible sum of all of the edges of the prism?

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asked by PT
  1. a b c = 60 =2 * 2 * 3 * 5
    2 6 5 ---- 13
    2 10 3 ---- 15
    2 2 15 -----19

    4 3 5 ---- 12
    6 2 5 -----13
    10 2 3 ----16

    looks like 2+2+15 = 19

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    posted by Damon
  2. Thanks Damon, they say it is 248 inches total, not sure how they arrive.

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    posted by PT

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