26
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.
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.
324
You would have 8 pieces of cake. A: I can make ten pieces.
With 10 straight cuts, you can create a maximum of 56 pieces of pie. This is based on the formula for the maximum number of pieces ( P(n) = \frac{n(n + 1)}{2} + 1 ), where ( n ) is the number of cuts. For 10 cuts, substituting into the formula gives ( P(10) = \frac{10 \times 11}{2} + 1 = 56 ).
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
One horizontal cut, one vertical cut (north-south), one vertical cut (east-west). That will get you 8 pieces.
9 pieces
If no cut intersects any previous cuts, then you can just slice it into 14 pieces.
3 mm
7