Gain is the ratio of the output voltage to the input voltage. If the gain is less than one, then it might also be referred to as attenuation, and that is exactly what a potentiometer or switched resistive attenuator does.
Volume is the amount of acoustic energy reaching your ear. The source voltage, times the gain, times the speaker sensitivity, plus room effects, gives you the volume. In this case though, "volume" is short for "volume control," which is the same as gain control.
For using the QSC with a preamp, turn the gain controls all the way up.
HTH
