The term 'disposable cup material' refers to materials used to make disposable cups. The two most common materials used are styrofoam and styrene. Styrofoam is a lightweight, foam-like material made from polystyrene, a type of plastic. It is often used to make disposable cups because it is lightweight and insulates well. Styrene is a synthetic monomer made from petroleum and natural gas. It is often used to make disposable cups because it is strong and durable.