A cube is a three dimensional solid structure which has,- 6 Faces
- 8 Vertices or corners
- 12 Edges
Now we want to cut this cube to make smaller cubes. We can do this by slicing the cube along XY, YZ and XZ planes. To get maximum number of smaller cubes with minimum number of required cuts, we should cut in equal numbers along all three axes.
Let n be the number of smaller cubes along each edge.
