Question

Find the minimum cuts required to divide a cube in 125 cubes ?

Answer 1

If we cut one face at 4 places then it is divided into 5 cuboids. The length of the cut portion becomes 1/5th.

Next, if we cut the entire original cube at 4 places along the width then the width of the cut pieces becomes 1/5th.

Next, if we cut the face on the height of cube, into 5 parts by cutting at 4 places, then we get totally 125 small and equal cubes.

So we have cut at 12 places or 12 times.