A rabbit playpen would have more room for the rabbit to run around. A cage is limited in space. It's important that a rabbit get a couple of hours of exercise each day. If you have a cage, it's good to get one with a rabbit door, so the rabbit can jump in and out on its own. You can then surround the cage with a play pen, if you want.
As long as it is clean and the rabbit can fit in comfortably, why not?
Just use a large bird cage, or a rabbit cage. My rat has a rabbit cage, and she's as happy as can be. My old rat had a bird cage, and he was perfectly fine.
You can just call a rabbit cage a "cage" or, depending on what kind of cage it is, there are other names: "Hutch" is the name used for outdoor cages on legs with wooden walls and flooring. "Condo" is the name used for multi-level indoor cages made from wire grid cubing (aka Nice Idea Cubes or NICs). "Crate" is the name used for large rectangular cages. "Ex-pen," "playpen," and "corral" are the names used for gate fencing; often there's no roof or floor. Now SUCK MY BUMBUM
We do not recommend using a bird cage for a rabbit, as using a cage in a manner it was not designed could endanger your pet. PetProductsByRoyal.com has some great rabbit cages that may be a better fit for you and your pet.
A rabbit is a domesticated hare/animal and will not die if you keep it in a confined place such as a hutch/ indoor cage. A hare is a untamed animal and because it isn't domesticated, it will die when taken in a hutch or cage or even taken into the home.
It depends if the cage is tightly secure or not
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.
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If your rabbit is biting and shaking her cage bars, that means she is bored and wants out. Rabbits need time outside their cage to exercise, play, and socialize, and so you can observe their health and behaviour -- they need at least three outside their cage hours every day. Rabbits also need things inside their cage so they can play and express their natural behaviours (like grazing): things like toys, play structures, hay, etc. See the related question below for more info about what rabbits needs in their habitat. If you don't give your rabbit anything to do with her time, she'll just get bored, and possibly destructive, depressed, or even sick! The less time you give your rabbit outside her cage, the bigger and more awesome her cage needs to be.
shes pregnant