The essence of Inversion of Control (of which Dependency Injection is an implementation) is the separation of the use of an object from the management thereof.
The analogy/example I use is an engine. An engine requires fuel to run, i.e. it is depdendent on fuel. However, the engine cannot be responsible for the fuel it needs. It just 'asks' for fuel, and it is provided (typically by a fuel pump in a car).
The analogy starts breaking down when you look too deep, in that an engine doesn't ask for fuel, it is given it by some kind of management element, like an ECU. One might be able to compare the ECU to a container but I'm not certain how valid this is.
