is following step right proving?
it is first time I prove something so I am wonder whether it is right or wrong.
there is a cube whose one side is 3 inch long.
a person cuts 6 times for making 27 cubes whose one side is 1 inch long.
is there a way to cut less than 6 times for making 27 cubes?
if not, prove it.
for any shape of object,
for making one or more cube, I should cut 6 times
because only one plane would be made for each cut.
and cube have 6 plane.
making 27 cubes is more than making a cube.
so making 27 cubes require at least cutting 6 times which time is times of cutting for making a cube.
I tried to prove "for making one or more cube, it require cutting at least 6 times"
does it same as proving "there is no way to make 27 cube with cutting less than 6 times"?