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216
21 cuts required to cut a cube into 504 identical pieces.
9 pieces
7
324
If you do not re-stack the pieces, then 15 cuts.
Six
CuBe
If a cube of jello is cut into two pieces the density of the pieces do not change.
If no cut intersects any previous cuts, then you can just slice it into 14 pieces.
A cube
Yes.