A cube having each side of unit length is cut into two parts by a plane through two diagonals of two opposite faces. What is the total surface area of each of these parts?
I am still unable to visualize the problem, let alone solve it! I have managed to solve similar problems involving spheres because visualizing spheres was easy but this is (very) tough.
Can someone please give starting hints?
UPDATE: I agree with Ross's answer, but it took me a whole while to visualize this thing. Now that I do visualize, it would be great if everyone like me could visualize.
I would wish if someone could please simply draw a diagram to illustrate the problem. I don't have sharp skills with 3D math geometry software otherwise I would do that myself.