The invention relates to a storage device (1) for storing storage goods (25) in storage spaces (8), comprising at least one storage good carrier (7) which can be supplied with storage goods (25) and which is associated with a stowage space volume (S) that can be occupied by the storage goods (25) at a maximum. The storage device (1) comprises a control station (10), on which the stowage space volume (S) of the at least one storage good carrier (7) can be arranged accessible from outside of the storage device (1). The storage device (1) is equipped with a conveyer unit (5, 6), by which the storage goods carrier (7) can be moved from the control station (10) to the storage spaces (8). In order to reduce the danger to people, the storage device (1) and storage goods (25) posed by too large or incorrectly positioned storage goods (25) on the storage good carrier (7), a protrusion measuring unit for determining a horizontal protrusion (U1) of the storage goods beyond the stowage space volume (S) is provided according to the invention.