If a cube with edge length 1 is projected onto a plane, what is the maximum area of ??the projection?

For convenience, let the cube be ABCD-A'B'C'D'

When the projection is at its maximum, the plane should be parallel to the surface AB'C,

The projection of the three surfaces is three congruent rhombuses

The long diagonal of the rhombus is √2

The three diagonals on the projection constitute a side length is an equilateral triangle of √2

and the projected area = area of ??the equilateral triangle x 2

S = 1/2 x √2 x √(6)/2 = √3 ,1. Use the law of photography to obtain.

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