One horizontal cut, one vertical cut (north-south), one vertical cut (east-west). That will get you 8 pieces.
26
324
You would have 8 pieces of cake. A: I can make ten pieces.
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.
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.)
the normal amount would be 17
9 pieces
If no cut intersects any previous cuts, then you can just slice it into 14 pieces.
3 mm
You start with one piece of paper. With each cut you increase the number of pieces by one - whether or not you cut in half. So, at the end of the process you have as many pieces as the number of cuts you made and that, in turn, depends on the rate at which you cut the paper and the time available - neither of which are given in the question.
7
If you do not re-stack the pieces, then 15 cuts.