If no cut intersects any previous cuts, then you can just slice it into 14 pieces.
If you do not re-stack the pieces, then 15 cuts.
324
To cut a cube into 504 identical pieces, you would need to make 503 cuts. Each cut divides the cube into two pieces, so the first cut creates 2 pieces, the second cut creates 4 pieces, the third cut creates 8 pieces, and so on. Therefore, to reach 504 pieces, you would need to make 503 cuts.
When a cube is cut by 15 cuts, it can produce a maximum of 27 identical pieces. Each cut can create at most 2 identical pieces, so with 15 cuts, you can get 2 x 15 = 30 pieces. However, 3 of these pieces will be removed as they are the corners of the cube, leaving you with 30 - 3 = 27 identical pieces.
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.
If you do not re-stack the pieces, then 15 cuts.
The maximum number of identical pieces a cube can be divided into with four cuts is 15. This can be achieved by making strategic cuts that intersect and segment the cube effectively. The cuts can be made in such a way that each cut increases the total number of pieces by maximizing the intersections with previous cuts.
9 pieces
When a cube is cut by 4 cuts, the maximum number of identical pieces obtained can be up to 15. This configuration involves strategically placing the cuts to intersect and divide the cube effectively. Each cut can potentially increase the number of pieces significantly, especially when made through the previous cuts. However, achieving the maximum requires careful arrangement of the cuts.
324
To cut a cube into 504 identical pieces, you would need to make 503 cuts. Each cut divides the cube into two pieces, so the first cut creates 2 pieces, the second cut creates 4 pieces, the third cut creates 8 pieces, and so on. Therefore, to reach 504 pieces, you would need to make 503 cuts.
7
When a cube is cut by 15 cuts, it can produce a maximum of 27 identical pieces. Each cut can create at most 2 identical pieces, so with 15 cuts, you can get 2 x 15 = 30 pieces. However, 3 of these pieces will be removed as they are the corners of the cube, leaving you with 30 - 3 = 27 identical pieces.
26
four
We'll say 9 cuts.
6 if cut like a normal pizza and 3 if cut without overlapping