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​​​​​A thin wire is used to construct all the edges of a cube of $1 \: \mathrm{m}$ side by bending, cutting and soldering the wire. If the wire is $12 \:  \mathrm{m}$ long, what is the minimum number of cuts required to construct the wire frame to form the cube?

  1. $3$
  2. $4$
  3. $6$
  4. $12$

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