Box for a solid, paste or powder cosmetic or toiletry product, including a body having a bottom and a free edge and containing a cup containing a solid, paste or powder product, and a lid mounted to pivot on the body between a configuration in which access to the product is possible and a closed configuration, characterized in that: - the lid is connected to the body near an area of the free edge called the articulation area by means of at least one double hinge including an upper link (13, 13') articulated to the body about a first pivot (15, 15') and to the underside of the lid about a second pivot (16, 16'), and a lower link (14, 14') situated between the upper link and the bottom, more inclined than the first link relative to the bottom in the closed configuration of the lid, and articulated to the body about a third pivot (17, 17') and to the underside of the lid about a fourth pivot (18, 18'), these pivots being parallel and situated inside the body, near the articulation area, the second and fourth pivots (16, 18; 16' 18') being situated closer to this area and the lid than the first and third pivots (15, 17; 15' 17'), and in that - in the closed configuration, the lid is retracted into the body, flush with the free edge, having at a distance from the articulation area an actuation area bearing at least indirectly against a bistable pushbutton (20, 40) elastically compressible toward the bottom of the body and having, relative to a position of maximum depression toward the bottom, two stable positions of which one is a retracted position in which the lid is flush with the free edge of the body and the other is an extended position in which the pushbutton pushes the actuation area beyond the free edge of the body, toward the outside of the body, so as to render at least the actuation area the lid accessible to a user of the box. - the lid is connected to the body near an area of the free edge called the articulation area by means of at least one double hinge including an upper link (13, 13') articulated to the body about a first pivot (15, 15') and to the underside of the lid about a second pivot (16, 16'), and a lower link (14, 14') situated between the upper link and the bottom, more inclined than the first link relative to the bottom in the closed configuration of the lid, and articulated to the body about a third pivot (17, 17') and to the underside of the lid about a fourth pivot (18, 18'), these pivots being parallel and situated inside the body, near the articulation area, the second and fourth pivots (16, 18; 16' 18') being situated closer to this area and the lid than the first and third pivots (15, 17; 15' 17'), and in that - in the closed configuration, the lid is retracted into the body, flush with the free edge, having at a distance from the articulation area an actuation area bearing at least indirectly against a bistable pushbutton (20, 40) elastically compressible toward the bottom of the body and having, relative to a position of maximum depression toward the bottom, two stable positions of which one is a retracted position in which the lid is flush with the free edge of the body and the other is an extended position in which the pushbutton pushes the actuation area beyond the free edge of the body, toward the outside of the body, so as to render at least the actuation area the lid accessible to a user of the box.