Consider the figure given below:
A cube with surface EFGH is put on a cube with a surface ABCD in such a way that vertices E and A of the two blocks coincide and side EF coincides with side AB. EF = 1 unit and AB = 2 units. Now, keeping vertex F fixed, the smaller cube is rotated along the larger cube till G coincides with B once. Then keeping G fixed, the smaller block is again rotated till GH coincides with BC.
In the above question, what is the total distance covered by point E?