Two ice cubes and a woollen hat

There are two ice cubes of equal size right in front of you. One of them is "wearing" a woollen hat.

Which of the two melts faster?

The cube without the hat melts faster because a direct heat exchange with the surrounding air is possible.

The cube with the hat melts faster because wool is naturally warm.

The two cubes melt equally fast because both possess the same amount of coldness.