A space heater is connected to an AC voltage source described by $V(t)=120\sqrt[\phantom{2}]{2}sin(2ft)$ Volts and the current through it is $i(t)=5\sqrt[\phantom{2}]{2}sin(2ft)$ Amps. The appliance is operated for $3$ hours. How much power does this appliance dissipate?

A$)300$ W

B$)424$ W

C$)600$ W

D$)1200$ W

E$)850$ W