The truck box with your measurements will hold about 7 cords of wood. Figure that being around 35,000lbs depending on the species and how seasoned it is.
It would be sitting pretty heavy for a 3 axle truck, I would look into local laws for axle weights and bridge laws.
If your maxed out at 22k load, you'd be at around 5.5 cords.
If "10 cords" you mean 10 face cords, or ~3.3 cords, it would be crazy to run a truck that size. May as well just buy an F450 or 550 and pay much less for registration, insurance, fuel, tires, etc.