How to cut a cube into small cubes?

[Frank]

Hi,

I'm trying to cut a cube into 100 small cubes that each of them is a normal solid cube with 6 sides.

Here is what I tried:
1. Left picture was the original cube. First, I added vertices and edges.
2. Then I selected the edges accordingly. (see middle picture)
3. Finally, I used "Loop Cut".

But I didn't get what I wanted. Somehow most of small cubes don't exist there, or just have one side.

Can someone help me out? Thanks ahead!