There is a 4×6×18 inch cereal box lying on the floor. It was placed face down on one of its 6×18 inch face. An ant is located at one of the bottom corners of the box. It wants to reach the opposite bottom corner (of the 6×18 face on the floor), by crawling along the outside of the box, or on the floor. The length of the shortest such path is R inches. What is the value of R^2 ?
