Depends on the shape of the box.
None if it is a circular box, like a hat box. Four if it is a tetrahedral box used for small volumes of fluid. Five for a triangular prism used by a chocolate company. Six for a brick-shaped box. Eight or ten for some boxes of assorted chocolates. Probably other numbers as well.
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Four.
no
Triangles or squares or hexagons. There are also mixtures, like octagons plus squares.
yes
Exterior angles of both polygons add up to 360 degrees