A rectangular footing, $3$ m x $4$ m in plan, is founded $1\mathrm{.}2$ m below the ground surface for which the bulk unit weight of the soil is $20$ kN$/$m$^3,$ the cohesion strength is $10$ kPa, and the angle of internal friction is $20$ degrees. Under the condition of general shear failure, evaluate the contribution of the following to the ultimate bearing capacity, in kPa. The ground water table is at a level that does not affect the unit weight of the soil. Use Terzaghi$$s bearing capacity factors. Nc $=17\mathrm{.}69,$ Nq $=7\mathrm{.}44,$ N $=3\mathrm{.}64$