A system and accompanying method produces cartons for randomly sized and shaped objects or groups thereof by automatically measuring minimum bounding dimensions and transferring these dimensions to an automatic carton-making system. The system for determining the dimensions of an object to be packaged preferably includes a conveyor for moving the object, a vertically oriented light curtain to determine the height of the object, a horizontally oriented light curtain to determine the width of the object, and a tachometer synchronized to the conveyor enabling at least one of the light curtains to determine the length of the object. A computerized interface between the measurement apparatus and carton-making system may include an algorithm for virtually rotating the object to produce a carton just large enough to fit the object. The carton may be a corrugated carton or non-corrugated carton, and the carton-making system may be supplied with a continuous feed of “fanfolded” raw material or it may be sheet-fed. The system for determining the dimensions of an object to be packaged is capable of determining the dimensions of a group of objects to be packaged.