That depends on what kind of mattress you have. Whether you can use box springs depends on your bed’s construction, not its size. So if you have a king size innerspring mattress, you can put it on a king size box spring set or a pair of twin XL box springs.
However, if you have a foam or hybrid mattress, it cannot go on box springs regardless of its size. These mattresses are too heavy for box springs. They need sturdier supports like mattress foundations or platform beds. Adjustable bases can also work for foam or hybrid beds.