That's exactly what artist Nick Philip did. In 1998, Nick created an art installation to visualize the amount of spam on the Net, if it were all printed out:
Emails are copied as they pass through nowhere.com on to their final destination. They are distributed through 12 fax modems and then printed by 12 fax machines. Thermal paper is collected in trash cans, then allowed to overflow onto the gallery floor.
http://nphilip.best.vwh.net/instal.htm - via Andreaxmas