Cylinder orientation

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"What is the area of the smallest square mirror that can be used to 'hide' a cylinder with a radius of 1 unit and height of 2 units in a corner of the cubic room?"

This is the question. It said that the mirror has one side / edge on the floor and two corners on the walls (one each). What should I read on to decide which orientation(s) would yield the right answer? Or is this the kind of question where we have to try all the possibilities and pick one that matches the requirements?

Edit : 'Hide' is not hiding from view. It only wants the smallest square area (the way it should stand as mentioned) contained in the last face of a triangular pyramid that's capable of containing the cylinder.