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If we cut one face at 4 places then it is divided into 5 cuboids. The length of the cut portion becomes 1/5th.

Next, if we cut the entire original cube at 4 places along the width then the width of the cut pieces becomes 1/5th.

Next, if we cut the face on the height of cube, into 5 parts by cutting at 4 places, then we get totally 125 small and equal cubes.

So we have cut at 12 places or 12 times.

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