Takeout cartons are an American invention. Those white takeout cartons that are a symbol of Chinese-ness across advertising and the United States? They are so American they are not even really used in Canada (which is more of an aluminum and Styrofoam market, as one carton executive put it). The white boxes were originally invented in the first half of the twentieth century to hold shucked oysters, and are thus are often called "pails" in industry lingo. Carton executives say that sometime around World War II, they Were adopted by Chinese restaurants for takeout, in part because they could hold hot liquids.
One piece of trivia: On the East Coast and the West Coast, the boxes are oriented in different directions. On the East Coast the wire runs down the short length, while on the West Coast, they run down the long length. The two styles mix only in the greater Houston area.