The ice coming out of your freezer is colder than 0 C, it’s whatever your temperature your freezer is. Typically -5 or so. Water freezes at 0. So if the pile of ice cubes is protected from room heat by the insulation, then as the outside of the cubes warms up, the cubes inside the pile are still below freezing and able to freeze any liquid water that contacts them, fusing the cubes together.
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