The word which means the same as the group of words "a box or cage for rabbits or small animals" is hutch.
- Lair is a den or resting place of a wild animal.
- Hutch is a box or cage, typically with a wire mesh front, for keeping rabbits or other small domesticated animals.
- Kennel is a small house or shed for a dog or other animal.
- Menagerie is a collection of wild animals kept for exhibition.
The word
hutch is the most appropriate because it specifically refers to a box or cage for rabbits or other small domesticated animals. The other words do not have the same connotation of a small, enclosed space for animals.
