What you can do is shut down and unplug the power supply from the wall, then remove the cmos battery from the MB and push the power on button for 30 sec that will release the built up voltage in the caps.
Then put the battery back in , plug in the power supply and power up, see if now you can see all 12gb of ram available. By leaving the power supply plugged in and not resetting the bios your computers bios is still thinking it has 6gb of ram and Windows is seeing the ram but because the bios only see 6gb it's only reporting 5.7gb usable.
If your motherboard has a cmos reset button on it you can use that instead of unplugging and removing the battery.