A man in his 40s also received a kidney, while another received his other kidney and his pancreas.
Robbie's mother said the family was "distraught" at Robbie's death, but happy he could save five others.
"Our advice would be if you want to be a donor then have that conversation with someone close to you so that if something happens your wishes will be followed through and you might be able to save another five lives."
After the transplants the family received a fitting poem from an anonymous person awaiting a donor.
"Without the organ donor
There is no story
There is no hope
There is no transplant
But when there is a organ donor
Life springs from death
Sorrow turns to hope
& a terrible loss becomes a gift."
Robbie was critically injured when a Toyota Hilux rolled on Rothesay Beach shortly midnight on a Saturday last month.
The ute was reportedly doing doughnuts on the beach before it rolled.
Police said the vehicle was righted and the driver fled the scene.
Robbie was seriously injured in the crash and died in hospital two days later.
He was a prefect at Rangitoto College and was described by friends and family as an "extremely gifted, talented performer and a student leader".
Outside school, the teen was actively involved with the Salvation Army youth group and worked in the charity store.
"Robbie is known for his infectious smile, cheeky wit and caring personality," the family said.
"He had a magical way of brightening up your day and always making you feel special and important to him."
His Rangitoto College schoolmates performed an emotional haka at his funeral.
More than 1100 people attended the funeral, many wearing Hawaiian shirts because Robbie "loved to wear them", his father Tony Cederwall said.
An 18-year-old has been charged with dangerous driving causing injury in relation to the crash.
