Abstract: A bag comprising a body (3) which has a lid (1, 2) on at least one of its two mutually opposing sides, wherewith the bottom edge of the lid is hinged to the bottom part of the body, wherein the lid (1, 2), which is substantially rigid, has an outwardly arched outer surface which is adapted to lie tangentially to the underlying bag supporting surface (55) at a distance from the area in which the bag (3) is supported by said surface (55) when the lid (1, 2) has been opened out. When in contact with the underlying supporting surface, the rim of the lid pitches a plane that defines with the underlying supporting surface (55) an angle that is greater than 5°. The bag includes means (12) adapted for limiting the maximal angle to which the lid can be opened relative to the body to a value at which the lid will lie tangentially to the bag supporting surface (55).