Cessna 172 pilot reported that the engine quit because of fuel starvation even though the fuel gauges showed fuel was still available. Pilot landed safely.

Narrative

At XA30 on Day 0; I preflighted Aircraft X (C172) for a three hour flight in the pattern at ZZZ. Fuel was visually checked and lined up with what was seen on the gauges at 75% (15 gallons a side). After about three hrs of pattern work the engine started sputtering on base to final. Carb heat was checked and was on; with full flaps. Fuel also was checked and was at five gallons a side. After switching to the right tank which did not help; the focus was getting the plane on the ground in a safe manner. Three to five seconds from landing; the engine shut-down and I was able to land the aircraft about five feet short of the runway. After landing; there was no visible sign of damage to either the airfield; plane or myself. The fuel was checked again and showed empty; in direct contradiction to what was shown earlier and later in the maintenance hanger (Full). Airport Ops and maintenance we're then able to tow Aircraft X back to the ramp for inspection. Cause: Faulty reading of fuel gauges. Suggestions: Fixed Fuel gauges and not trusting the C172 Fuel gauges.