Question

A glass of water has an ice cube floating in the water. The water level just touches the rim of the glass. Will the water overflow when the ice melts?

Answer 1

I can give an mathematical reason for it. We know that, Volume of the Ice will be equal to volume of water displaced. (By Archimedes Principle)

We know that density of ice is less than that of the density of water.

Now, since, density is inversely proportional to the Volume, this means volume of ice will be little more than that of water.

Now, when ice melts, its density increases (as it converts into water) and hence, its volume decreases.

After complete melting, the water occupied the space which was originally occupied by the Ice. Thus, we can say that there is very little decrease in water level, which is not considered in many calcuations.

Thus, More appropriate you can write there will be no change, But dealing with accuracy you should write, that there will be very slightly decrease in water level.

Hope it helps.

Answer 2

The ice melts, the water or liquid will not overflow, as the ice displaces the storage it would take if it were in a water or liquid state.

Explanation:

• The liquid water relative to the ice cube's liquid should require less volume than the ice cube's.
• When the ice melts, the water or liquid will not overflow, as the ice displaces the storage it would take if it were in a water or liquid state.

Volume:- Volume is the sum of 3-dimensional space surrounded by a covered surface, e.g., the space occupied or formed by a material (liquid, gas, plasma, or solid ) or process.  

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