Final answer:
The level of water in the glass will not overflow as the ice cube melts because it displaces its weight in water.
Step-by-step explanation:
When an ice cube melts in water, heat energy from the surroundings is transferred to the ice, causing the solid water molecules to gain energy and transition into liquid form. As the temperature of the ice rises, it reaches the melting point, and the ice absorbs heat until it fully transforms into water. This process illustrates the phase transition from a solid to a liquid state due to the input of thermal energy.
Thus, when an ice cube floats in a glass of water, it displaces its weight in water. As the ice cube melts, it turns into water, but since the water it has turned into is the same weight as the ice cube, it still displaces the same amount of water. Therefore, the level of the water in the glass will not overflow.