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Neka je S unija poligona u trodimenzionalnom prostoru. Znamo da je projekcija S na svaku od ravnina x = 0, y = 0 i z = 0 kvadrat stranice duljine 1.

Odredite najmanju moguću površinu od S.

NAPOMENA: Ovaj je zadatak bio dio MBL QQ 2023.

Let S be a union of polygons sitting inside three dimensional space. We know that the projection of S onto each of the three planes x = 0, y = 0 and z = 0 is a square with side length 1.

What is the minimal possible area of S?

NOTE: This problem was a part of MBL QQ 2023.