While studying the unit of electrostatics, I came across the formula $$C=\dfrac QV,$$ Where C refers to the capacitance of the conductor, $Q$ refers to the charge present on the conductor and $V$ refers to the potential of the conductor. I don't understand what is meant by the potential of a conductor. Isn't electric potential defined for a point in space? How can an extended object have a potential? Could someone please explain what exactly is meant by the potential of a conductor?
P.S. Is it assumed that the surface of the conductor is an equipotential surface, hence the common potential on all points on the surface of the conductor being referred to as the potential of the conductor?
Thanks a lot in advance!!!