Ice pail is a term that refers to a container specifically designed to hold ice, most commonly used for cooling or chilling beverages. However, there are many synonyms for this term including: ice bucket, ice chest, ice box, ice cooler, and ice bin. These synonyms are more commonly used in different parts of the world or in different contexts. For example, ice chest is more common in the southern United States, while ice bin is more commonly used in commercial settings like restaurants or bars. Ultimately, the synonym chosen will depend on the specific context and the region where it is being used.