Chinchillas are great pets but they do need to be confined when not under supervision. A chinchilla cage needs to be large—about 3 feet high and at least 2 X 3 feet (6 square feet) in area. If you are handy with tools and want to make a chinchilla cage for your furry friend, it's not very difficult. This guide describes the steps needed to make a chinchilla cage. Because specific measurements will vary depending on how much space you have, specific measurements are omitted.