216
21 cuts required to cut a cube into 504 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.
324
If you want an even-sized pieces, you can make a 7-slice pizza. Otherwise, the maximum is 22. (.5x^2 + .5x + 1 is the formula to determine the maximum number of slices if you use "x" cuts.) If you want even-sized slices, you can make a 7-slice pizza. Otherwise, the maximum number of slices is 22. (.5x^2 + .5x + 1 is the formula to determine the maximum number of slices if you use "x" cuts.)
If you do not re-stack the pieces, then 15 cuts.
26
9 pieces
21 cuts required to cut a cube into 504 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.
knight
7
324
You would have 8 pieces of cake. A: I can make ten pieces.
No, there have never been two pieces of exactly identical popcorn.
If you want an even-sized pieces, you can make a 7-slice pizza. Otherwise, the maximum is 22. (.5x^2 + .5x + 1 is the formula to determine the maximum number of slices if you use "x" cuts.) If you want even-sized slices, you can make a 7-slice pizza. Otherwise, the maximum number of slices is 22. (.5x^2 + .5x + 1 is the formula to determine the maximum number of slices if you use "x" cuts.)
6 if cut like a normal pizza and 3 if cut without overlapping
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.