1) 6 cuts , calculate Maximum pieces so 2 cut in X directions give 3 pieces , 2 cuts in Y direction give 3 pieces , 2 cuts in Z directions give 3 pieces so total pieces = 3*3*3= 27
2) similar when 10 cuts means cuts in (X,Y,Z)= (4,3,3)
so no of pieces maximum = (4+1)(3+1)(3+1) = 80 pieces ...
3) 216 pieces with minimum cuts so it required cuts in X,Y,Z all directions ...
216= 6*6*6 = (5+1)(5+1)(5+1) = 5+5+5 =15 cuts which is minimum ...
4) similar as 3 one . 24= 2*3*4=(1+1)(2+1)(3+1) = 1+2+3= 6 cuts minimum ...
5)27= 3*3*3 to form a larger cube which is completly cover so we required 5*5*5 cube ... so we require 125 cube and for addition cube it will be 125-27= 98