C152 INSTRUCTOR AND STUDENT PLT PERFORM AN OFF-FIELD LNDG DUE TO FUEL EXHAUSTION.

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IT WAS A XCOUNTRY FLT. THE FLT INSTRUCTOR DID NOT CHK THE FUEL AFTER THE STUDENT WAS DONE WITH PREFLT NOR DURING THE FLT. WE TOOK OFF WITH LESS FUEL THAN NEEDED TO COMPLETE THE FLT. THE FLT INSTRUCTOR WATCHED THE STUDENT PREFLT AND WATCHED THE STUDENT DO CHK POINTS. WE DID A TOUCH-AND-GO AT ZZZ; AND ON CLBOUT JUST AS WE LEVELED OFF; THE ENG BEGAN TO QUIT. THE FLT INSTRUCTOR TOOK OVER; DID A FLOW CHK TO TRY TO START THE ENG. CONTACTED APCH TO GET RADAR COVERAGE AND PERFORMED AN OFF-FIELD LNDG. THE PLANE AND PAX WERE OK. IT WAS DISCUSSED ON THE GND THAT WE LOST THE ENG DUE TO NO FUEL. THE PROB AROSE BY HAVING THE FLT INSTRUCTOR NOT CHK THE FUEL GAUGES NOR CHK THE GAUGES INFLT. SOME CONTRIBUTING FACTORS WERE THAT THE STUDENT WAS A PVT PLT WITH AN INST RATING; AND THE FLT INSTRUCTOR RELIED TOO MUCH ON HER JUDGEMENT. THE CORRECTIVE ACTION IS TO GO IN FOR A RE-EXAM BY THE FAA FOR THE FLT INSTRUCTOR AND TRAINING FOR THE STUDENT. THE PROB SHOULD NOT HAVE HAPPENED IF THE FLT INSTRUCTOR HAD DONE HIS JOB AND CHKED THE FUEL GAUGES.