In 2010, it was estimated that storing a yottabyte on terabyte-size hard drives would require one million city block size data-centers, as big as the states of Delaware and Rhode Island. If 128 GB microSDXC cards (the most compact data storage medium available to the public as of early 2014) were used instead, the total volume would be approximately 1250000 cubic meters, or the volume of half of the Great Pyramid of Giza.
Alternatively, using recently demonstrated DNA as storage media, one yottabyte would require a volume between 0.003 and 1 cubic meter, depending on number of redundant backup copies desired and the storage density. ("Our genetic code packs billions of gigabytes into a single gram"). DNA is much less mature technology than microSDXC cards (for this application) and accompanied by uncertain costs, but this gives a feeling for potential information density.