INSTRUCTOR WITH SPI RUNS OUT OF FUEL. EMER LNDG.

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INSTRUCTOR (ME) ASKED STUDENT TO PREFLT UNSUPERVISED. UPON ARR AT THE ACFT; INSTRUCTOR QUERIED STUDENT IF THE FUEL QUANTITY WAS CHKED. THE STUDENT REPLIED YES. NO REF WAS MADE AS TO THE QUANTITY OF FUEL IN THE TANK; BUT RATHER JUST THAT IT HAD BEEN 'CHKED.' THE INSTRUCTOR (ME) ASSUMED THIS MEANT THAT THERE WAS ENOUGH FUEL FOR THE PLANNED 1 HR FLT (LCL). AFTER 45 MIN OF FLT DURING MANEUVERS. THE ENG BEGAN TO SLOWLY LOSE PWR. I CALLED RDU APCH AND ASKED FOR VECTORS TO TDF WHICH SOON CAME IN VIEW APPROX 4 NM STRAIGHT AHEAD. INITIALLY; TRIED TO GLIDE TO ARPT; BUT QUICKLY DECIDED MAKING IT WOULD BE IMPOSSIBLE. AT THIS POINT; ENG QUIT COMPLETELY (MAGS; MIXTURE; CARB HEAT CHK HAD NO EFFECT). FIELD THAT WAS USED FOR LNDG WAS SPOTTED WHEN AT 1100 AGL -- UNEVENTFUL PWR-OFF LNDG FOLLOWED -- NO DAMAGE TO ACFT OR PLTS OCCURRED. LESSON: INSTRUCTORS ALWAYS SHOULD ASCERTAIN THE EXACT FUEL QUANTITY BEFORE ANY FLT WITH ANY (REGARDLESS OF EXPERIENCE) PLT. I USUALLY CHK THE CLUB USAGE LOG TO SEE HOW MANY HRS HAD BEEN BURNED SINCE THE LAST FILL-UP -- BUT THIS SHEET WAS NOT IN ACFT FOR THIS FLT.