Is there a way to render inside the mesh as black?

Hi I am trying to create the side view 3D game, and I'd like to clip the camera through some objects, but I do not want to show what's inside the object, so I am rendering the backfaces, but still if there are several meshes clipping each other they can be seen inside the clipped object.
Is there a way to just render a black inside the mesh (like in attached example)?

 

I'm seeing two cubes. Which one do you want inside to be black?