dependency Inversion, Unity

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C#

hi all,
i have a C# application (this is not asp.net or silverlight ) which has a main class and several other classes. I wanted to introduce dependency inversion using MS Unity Application block 2.0
the structure of the app is such that in the main class, objects of 2 other classes were created and functions of these classes were used.These two classes in turn used the objects and functions of the rest of the classes.
So to do this, i added a unity container and registered the types for the 2 classes:
something like this

_unityContainer = new UnityContainer();
_unityContainer.RegisterType<Class1>(new InjectionConstructor(var1,var2));
_unityContainer.RegisterType<Class2>(new InjectionConstructor(var3));

So in order to implement dependency inversion properly,is it necessary to register the types of the rest of the classes also with this container ?
(As this main class is not using any object/functions from rest of the classes directly.
)