If each object is a megabyte, you could stick them on microSD cards packed in a cube as tall as an adult.

(1 card is 0.11cm x 0.15cm x 0.01cm, 32GB. 32k objects, 31.2M cards needed. 165 cm x 165 cm x 165cm = 110 * 150 * 1650 cards = 27.2M. Instead of 165cm which is 5 and a half feet, say 6 feet, so try 166 * 122 * 1829 = 37.04M, enough to use some error-correcting codes just in case.)