According to what I read, we can only see about 5,000 stars with the naked eye, out to a distance of only about 4,000 light-years. That is in a galaxy with 100 to 400 billion stars and a diameter of 100,000 light-years.
The Milky Way Galaxy is only about 1,000 light-years thick. That seems pretty thin compared to its diameter. So a distance of 4,000 light-years would represent a volume of 50+ billion cubic light-years for just 5,000 visible stars. That is roughly 10 million cubic light-years per star.