The measurement
A full cord is 128 cubic feet: a neat stack four feet high, four feet deep and eight feet long. Because it is a volume including air, how it is stacked matters: loosely thrown wood occupies more space than the same wood stacked tightly. The practical approach is to stack what arrives and measure it, which takes twenty minutes and settles any question about quantity. A load that measures materially short is worth raising at once instead of after it is burned.
Face cord, rick and the other undefined words
A face cord is a stack eight feet long and four feet high of whatever depth the pieces happen to be, so a face cord of sixteen-inch pieces is about a third of a full cord, and one of twelve-inch pieces is less. Rick means much the same thing and is equally undefined. Neither is dishonest by itself; what causes problems is comparing a price for one against a price for another. Ask for the piece length and convert everything to full cords before comparing anything.
Checking moisture on delivery
Split a piece from the middle of the load and put a moisture meter on the freshly exposed face. The outside of a log reads far drier than the inside and will flatter almost any wood. You are looking for around twenty percent or below. Do this while the delivery is still in the driveway, not after it is stacked, and check several pieces from different parts of the load instead of one convenient one from the top.
What to do with wood that is not dry enough
Stack it correctly and burn it next year, which is the honest answer nobody wants. Split, off the ground, top covered, sides open to the wind, in single rows with air between them. In this climate that is a year at minimum for softwood and often two for dense hardwood. The alternative, burning it now, produces less heat, blackened glass, and a flue loading with creosote far faster than it should. Buying a year ahead is the arrangement that reliably solves this.