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In one sense you cannot. The cakes would have a different number of faces which were part of the original faces. To that extent the pieces will not be identical.

If such pieces are considered identical, and if the cake pieces can be stacked before cutting, then 9 cuts will suffice. Without stacking, 12 cuts are required.

If the cake can be stacked and cut, and a little wastage (less than 2.5%) is pemitted, then 7 cuts will be enough.

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10y ago
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Q: How many times to cut a cubical cake into a maximum of 125 identical piecesif the cake can be cut n times to get minimum of 120 pieces?
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