In "Cold Boot", on GLaDOS 7 -- the first time I encounter a companion cube -- the Material Emancipation grid is broken.
GLaDOS makes a point of pointing this out, and saying don't take anything with you in her extra dramatic voice... which implies I should take the Companion Cube with me.
But I can't figure out how to! I need the cube on the switch to open the door, and I don't see any way to get the cube without closing the door to Floor 7.
Is this possible?