Encourage students to picture the situation, and come up with good questions. How long might the ant’s first edge be? Does the answer depend on which corner the ant starts at? What is the longest/shortest total trip? What is the longest three-segment trip?
A cereal box measures 10 in. by 7 in. by 2 in. An ant starts at one corner of the box and crawls along the edges of the box. She never wanders away from the edges and never walks along an edge that she’s already been on. After a while, she stops and rests at a corner. What can you say?