A system for producing three-dimensional objects forms fluid paths within the support structure to facilitate the removal of the support structure following manufacture of the object. The system includes a first ejector configured to eject a first material towards a platen to form an object, a second ejector configured to eject a second material towards the platen to form support for portions of the object, at least one portion of the support having a body with at least one fluid path that connects at least one opening in the body to at least one other opening in the body, and a fluid source that connects to the at least one fluid path of the support to enable fluid to flow through the at least one fluid path to remove at least an inner portion of the support from the object.