Vettel, who (since joining Scuderia Toro Rosso) makes it a habit to give his racing cars names, named his RB6 "Luscious Liz". However, after unspecified minor damage was found on this chassis after the Monaco Grand Prix, the team gave Vettel a new chassis, which he then named "Randy Mandy."

The car claimed the first of four consecutive World Constructors' Championships for Red Bull Racing, and in the hands of Sebastian Vettel, took the first World Drivers' Championship of his career at the last round of the season. In qualifying, the RB6 was a consistent pace setter, setting the fastest time in 15 out of the 19 rounds. Red Bull's chief technical officer Adrian Newey later went on to claim that the car was "probably the car with the most downforce in the history of F1".

In 2014, before his final race with Red Bull, Vettel stated that the RB6 was his favorite Formula One car to drive in his career to date.