The net force on the door is the difference between the forces on the two sides as the pressure times the area
= Poutside A – Pinside A = ∆P × A
= 4 in H2O × 6 ft × 3 ft
= 4 × 0.036126 lbf/in2 × 18 ft2 × 144 in2/ft2
= 374.6 lbf
H2O is 0.036 126 lbf/in2, unit also often listed as psi.