A container for consumer articles is at least partially formed from a blank having a thickness (T), a first surface and a second surface, wherein at least a portion of the blank is delimited by a plurality of cut edges that extend from the first surface of the blank to the second surface of the blank. At least one of the cut edges has a cut edge surface that extends along a plane (A) forming a nonnull angle (theta) with a plane (O) that is orthogonal to the inner surface and the outer surface of the blank portion, the first and the second plane (A, O) belonging to a same sheaf of planes, wherein the axis of the sheaf of planes extends along the plane defined by the first surface of the blank, such that, at the at least one cut edge, the second surface of the blank portion extends beyond the periphery of the first surface of the blank portion.