Maximum cube shadow

Geometry Level 3

You hold up a cube with a side length of 2 so that it casts a shadow on a flat surface.

What is the maximum shadow area that the cube can cast on that surface? Round your answer to the nearest tenth.

You should assume the incoming light rays are parallel to each other and perpendicular to the surface, and you should neglect the effects of diffraction (i.e. light rays only travel straight paths).

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