Present Mystery

Geometry Level 1

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

  • 33 pink cubic boxes of respective side lengths a,b,ca, b, c
  • 33 identical blue cuboid boxes of dimensions a×b×ca\times b\times c.

Which set has a larger total surface area?

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