Because the share is listed on different exchanges, are there several different stock prices and trading volumes?
Yes. However, this allows shareholders to choose the market where they want to buy or sell shares. The price of the share listed in Euros is not very different between the three exchanges, though, due to cross-market buying and selling. Since the listing of EADS, most transactions are carried out on the Paris Bourse, which is now the lead market for the EADS share.