On the top part of the pleated-style bag (1) or “American”-style bag (2), without pleat, and near its open edge, it has some die cut drill holes with a rectangular (3) or circular (5) shape, located at a sufficient distance from the top edge to allow performing some folds (4) to close the bag (1) or (2), being said die cut drill holes (3) or (5) located just below said folds (4), defining the height, from the folds (4) to the base (8) of the bag, for its usable capacity. In the “American”-style bag (2) there is a second area (7) of die cut drill holes, which allows performing more folds (4) when closing the bag (2). It optionally has two reinforcements made of paper, fabric or cotton mesh, attached to the inner sides and in the area of the die cut drill holes, which can have a rectangular shape (3) with its flap (3a), and a circular (5), triangular (9), ovoid (10), semi-circular (11) slanted (12) or multi-slanted (13) shape.