I am currently a Dropbox user so after opening an account on Box I immediately wanted to find out the difference between the two.  My first thought is that there would be no difference other than the name.  I looked at a couple of different sights and was surprised.  Small Net builder did a comparison and I found out that for just having access to files they are basically the same thing.  Box's strength is in network building and collaboration. Which is very important in today's school environment.  University of Berkley also did an interesting comparison in a one page document.  It was very handy to see that there really is a big difference between the two types of Cloud Storage.  

I was able to get my Box to work on my iPad.  As you suggested I had to go to the Browser and log into Box that way.  Through the app I was unable to find any keys that would allow it to upload a file.  But in the browser there were a lot more options, including the option of creating a Google Document straight from Box.  Then I could share it through Box much the same as through  Google Documents.   I am not sure at this time I can see the advantages over simply using Google Documents, but I was successful in the assignment.