No change at all. The ice cube keeps its own shape — it is still a cube, whichever container you put it in.
- Put it in a round katori — it stays a cube.
- Tip it into a tall glass — it stays a cube.
- Put it on a flat plate — it stays a cube.
The only change is that it slowly gets smaller and its corners become rounded, but that is melting, not the container acting on it.