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What are the maximum number of identical pieces obtained when a cube is cut by 15 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.


What is the least number of cuts reuquired to cut a cube into 45 identical pieces?

7


What is the least number of cuts required to cut a cube into 504 identical pieces?

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.


What are the maximum number of identical pieces obtained when a cube is cut by 4 cuts?

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.


What is the minimum number of cuts required to cut a cube into 216 identical pieces?

If you do not re-stack the pieces, then 15 cuts.


What are the minimum number of pieces a cube can be cut into by 13 cuts?

If no cut intersects any previous cuts, then you can just slice it into 14 pieces.


What are the maximum number of pieces possible when a cube is cut into 10 cuts?

324


Max pieces from 5 cuts on a cube?

26


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?

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.


What is the maximum number of pieces obtained by 13 cuts?

26


What is the largest number of pieces that can be made with eight straight cuts?

7


How many ways can you divide a square into four identical pieces?

An infinite number of ways. Cut along a line from anywhere on a side to the centre of the square. Make three more cuts, at 90, 180 and 270 degrees to the first at the centre. Each point on a side of the square will give rise to a different set of four identical pieces of the square. And there are an infinite number of points on the side of the square. So an infinite number of answers to the question.

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