Present Mystery

Geometry Level 1

\(a, b, c\ (a<b<c)\) are coprime integers, and there are the following 2 sets of present boxes:

  • \(3\) pink cubic boxes of respective side lengths \(a, b, c\)
  • \(3\) identical blue cuboid boxes of dimensions \(a\times b\times c\).

Which set has a larger total surface area?

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