Solutions to Logical Puzzles-1

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We need 3 cuts to cut a cube into 6 equal pieces,with one cut in each dimension.Maximum identical pieces obtained with n cuts[if n is a factor of 3] = (n/3 + 1)^3, with n/3 cuts, we form n/3 + 1 equal pieces.If we need to get maximum number of identical cubes with some number of cuts then the number of cuts in all the dimensions should be equal if possible or almost equal.
The number of identical pieces formed with l,n,m cuts in the 3 demensions are (l+1)*(n+1)*(m+1).

1)3,Here there are 6,7,8 cuts in each dimension

2)2

3)4,Here the number of cuts are 7,7,6 in the 3 dimensions.

4)1

5)3

All the problems from 6-18 are based mostly on imagination.Note that 27 identical pieces have no color at all i.e they are inner pieces.

6)3

7)4

8)1

9)3

10)2

11)2

12)4

13)1

14)4

15)3

16)1

17)4

18)1

19)2

20)4