Ok your shed is 18' x 21' take out 10' x 10' for the owb leaves you with a 8' x 11' space and stack 6' high comes out to 4.12 cords as per the cord calculator here http://www.state.me.us/ag/firewood.html
21'x18' = 378sqf
378sqf - 100sqf = 278sqf (10x10=100)
278sqf x 6' stack = 1668 cubic feet
1 cord = 128 cf
1668cf / 128 = 13.03 cords
You took 10' off each dimension. If the exclusion doesn't run full width and/or depth you have to subtract is as square footage, not from the footprint.