A hutch.
That would be its cage or hutch.
a hutch
in your fridge
hutch
in a cage.
It is generally not recommended to keep a wild rabbit as a pet. Wild rabbits have specific needs and behaviors that can be difficult to meet in a domestic setting. It is better to adopt a domesticated rabbit from a shelter or breeder if you are interested in having a pet rabbit.
One can purchase an indoor rabbit cage at any pet specialty store. PetSmart and Pet Valu both sell indoor rabbit cages. One can also find an indoor rabbit cage for sale on Ebay and Amazon.
you might put it in a cage or a platform
you keepit in a cage or in a fenced in yard
Hutch
hutch
You can keep a pet rabbit in a big cage or hutch, dog crate, exercise pen, cube condo (NIC condo), or a rabbit-proofed room. See the related question below for more details.