An apparatus, in particular roll-type cross cutter, is shown and described, further in particular for forming a shingled stream of underlapping or overlapping sheets, in particular sheets of paper or cardboard, having a cross-cutting device for cutting a material web into individual sheets and having a web storage upstream of the cross-cutting device along the web transport path for storing and/or providing a material web, the material web being fed to the web storage from a web unwinding. According to the invention, it is provided that the web storage for storing the material web is arranged in the region of the cross-cutting device below the running height of the sheets.