You have a cube of ice floating in a glass of water. The question is what fraction of the ice will be above the water line? Assume that the ice is not bobbing.

Most of you have probably heard the answer to this before. But please provide a proof or solution, along with your assumptions.

I hope you realized I added the phrase "along with your assumptions" at the end of the problem." I will still address your points.

1. First of all, the size/weight of the ice wouldn't matter. If you had a block of ice weighing 10 tons, the fact that the problem states that it is floating means that there is enough water to keep it floating. Otherwise, it would be sitting in the water, not floating in the water.

2. Yes, the density of the water is important. But I'm not finding you hard water or some other high density water that makes a big difference. So unless otherwise stated, we are dealing with plain water. And the density of water depends on temperature, not much on pressure. So remember what I said earlier.

3. Unless the problem states that the cube is hollow, I would say it's not.

4&5. If you work out the physics/math, it has no effect.