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.
7
Yes.
How about a dice or a cube
A cube.
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.
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.
9 pieces
7
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.
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.
Yes.