1. Fuel level sending unit: This is the sensor in the fuel tank that measures the fuel level. It may be faulty or dirty, causing the fuel gauge to read incorrectly.
2. Fuel gauge: The fuel gauge itself may be faulty.
3. Wiring: There may be a problem with the wiring between the fuel level sending unit and the fuel gauge.
To diagnose the problem, start by checking the fuel level sending unit. This is located inside the fuel tank. You will need to remove the fuel tank to access it. Once you have removed the fuel tank, inspect the fuel level sending unit for any damage or debris. If the fuel level sending unit is damaged or dirty, it will need to be replaced.
If the fuel level sending unit is not the problem, then the next step is to check the fuel gauge. This is located on the dashboard. You can test the fuel gauge by disconnecting it from the wiring harness. If the fuel gauge reads full with the wiring harness disconnected, then the fuel gauge is faulty and will need to be replaced.
If the wiring harness is also faulty, then you will need to find and repair the damaged wire.
If you are not comfortable performing these checks or repairs yourself, you should take your vehicle to a qualified mechanic.