A hutch was originally a bread box — medieval bakers stored dough in them before the word evolved to mean the cage where your rabbit lives.
A cage or enclosed structure for keeping rabbits or other small animals; a cupboard or chest with open shelves above, used for storage or display.
From Old French huche (chest, bin, kneading trough), possibly from Medieval Latin hutica (chest), of uncertain ultimate origin, perhaps Germanic. The sense of an animal cage developed in English from the idea of a box-like enclosure. Key roots: huche (Old French: "chest, storage bin").
The hutch was originally a bread bin or kneading trough — a large wooden chest where dough was prepared and bread was stored. Medieval bakers called their most important piece of equipment a hutch. The word only later came to mean an animal enclosure, probably because rabbit hutches looked like bread boxes with wire fronts. In furniture terminology, a hutch still refers to a display cabinet with open shelves mounted on top of a sideboard — preserving the original "chest"