Does the truck have long or short running boards. Many trucks of the era were shipped without beds. The new owner would send them out or make their own.
Now getting back to the running boards... some trucks shipped without beds came with short boards that bolt to the front fenders, and appear cutoff or scuared off just behind the cab. Trucks that got a traditional bed had the running boards going from the front to rear fenders with a bed apron under the bed.
It was NOT UNCOMMON for trucks of this era to ship with/out a bed box, but come with the full running boards and fenders attached.