1. We painted the faces of a cube. Two of them are blue, two of them are white, and two of them are yellow. How many different cubes can we make? Solution: 6
2. A spaceship landed on the planet Hexa which is like a regular cube. The landing happened in a vertex of the planet. The captain of the ship went to explore this planet. When he arrived into the B point he noticed that the oxygen started leaking from his space suit. He has to return to the spaceship in the shortest way. He can go just on the surface of the planet. How long is the shortest path if we consider the edge of the planet is 1 unit?
Solution:The shortest path is a hypotenuse (the side opposite the right angle) of a right triangle which has 1 and 2 unit side.