THE AIRPLANE ENGINE EXPERIENCED A LOSS OF POWER DURING FINAL APPROACH, AND THE AIRPLANE SUBSEQUENTLY CRASHED INTO TREES SHORT OF THE RUNWAY. THE STUDENT PLT WAS ON A LOCAL, UNSUPERVISED SOLO FLT AND HAD CONDUCTED SEVERAL T&G LDGS PRIOR TO THE POWER LOSS. TOTAL FLT TIME THIS FLT WAS ABOUT 1 HOUR. THE OPERATOR REPORTED THAT POST-CRASH EXAMINATION OF THE AIRPLANE REVEALED NO FUEL REMAINING IN THE FUEL TANKS. THE OPERATOR NOTED THAT THE AIRPLANE HAD BEEN OPERATED A TOTAL OF 4.6 HRS SINCE LAST REFUELING. HE ALSO NOTED THAT THE PLT WHO HAD FLOWN THE AIRPLANE ON THE PREVIOUS FLT REPORTED THAT AT THE END OF THE FLT, THE LT & RT FUEL QTY GAUGES RESPECTIVELY INDICATED 5 GALLONS & LESS THAN 5 GALLONS REMAINING. THE STUDENT PLT REPORTED THAT HE HAD ESTIMATED THE TANKS WERE ABOUT 1/2 FULL WHEN HE PREFLIGHTED THE AIRPLANE PRIOR TO THIS FLIGHT.