Companies like Facebook have fairly intense CDNs. They may look like randomly generated urls but they aren't, each individual route is on purpose and programed to be handled in that manner.
They aren't after simplicity of storage like you would be if you were just using a FTP to connect to a basic marketing website server. While you may put all your images in a /images folder, Facebook is much too complex for this. Dozens of different types of applications accessing hundreds if not thousands of CDNs and servers world wide.
If you ever build a web app, such as a Ruby on Rails app, and you work with a services such as AWS (Amazon Web Services) you'll also encounter what seems like nonsensical urls. But it's all part of the fast delivery network provided within the architecture. Every time you "push" your app up to the server new urls are generated for each unique resource automatically, css files, JavaScript files, image files, etc all dynamically created. You don't have to type in each of these unique urls individually each time you publish the app, the code simply knows where to look for those as a part of the publishing process.
Example: you tell the web app to look for
//= require jquery
and it returns you http://example.com/assets/jquery-eb3e278249152b5b5d5170b73d9dbf52.js?body=1 in your header.
It doesn't matter that the url is more complex than it should be, the application recognizes it, and that's all that matters.