Completely charged batter dies on just one crank. Truck doesn't try to even turn over and battery dies completely
That really sounds like a bad battery, it can't hold a load, you can recharge those for days and they still won't do anything.
Ditto. Time for new battery. 'Completely charged does not mean it has CCA's available
Check the battery with a multi meter. If it reads somewhere around 12.4 volts, then take it to a place like auto zone to check the amperage in the battery. You need the amperage to work the starter.
Looking for a Used F-150 in your area?
CarGurus has 219,880 nationwide F-150 listings starting at $1,222.
Search Ford F-150 Questions
Ford F-150 Experts
Related Models For Sale