Question 12
A rope of length 2 m is glued onto a cubic box, with both ends meeting at the red point. The three visible faces and visible rope segments are shown. What is the maximum total surface area of the cube?

Grading convention: use the illustrated straight, edge-parallel segments; the red point and the rope endpoint on the back-right edge are at mid-height. The remaining rope lies on the unseen faces.

Grading convention: use the illustrated straight, edge-parallel segments; the red point and the rope endpoint on the back-right edge are at mid-height. The remaining rope lies on the unseen faces.