When they are this full, whomever ends up taking the trash out has to pull the top several inches of trash off by hand and throw into the dumpster bit by bit, which can vary from frustrating to disgusting depending on the squishiness of the contents.
I often "commit a neatness" near the end of my visits to DMS by carrying out some trash. Just takes a couple of mins and helps keep the place neater. I often do the woodshop bins because they are heavy (easier for me perhaps than for others). If everyone did likewise (dumping trash, putting tools away, perhaps running a broom around the woodshop tools/floor) the place would look cleaner and stay cleaner, as people tend to be tidier in a tidy work environment (and vice versa).
The "tragedy of the Commons" is a real issue in a shared work environment, and everyone should be extra aware of the potential for abuse.
(Stepping off soapbox now).