The liquid on the outside of the container is condensation. Here's why:

* Evaporation: When ice melts, it absorbs heat from its surroundings.

* Water Vapor: This heat causes some of the water molecules in the air around the container to evaporate (turn into a gas).

* Cooling: The cooler surface of the container then causes the water vapor to condense back into liquid water droplets.

This is the same process that causes dew to form on grass or fog to form on a cold morning.