Alan Munro, principal of Matamata College, said Corbin was a Year 11 student at the school and the community had been in "terrible shock" following the news of Corbin's death.
A crisis plan had been implemented and staff and students had rallied to support one another, he said.
"A supervised room has been set aside where students in need of support can go to be supported and support each other.
"There were other Matamata College students in the car and at this stage we are unsure about the extent of their injuries and they are being cared for at Waikato Hospital."
The crash happened after the boys were doing fundraising work for an upcoming rugby trip to Argentina, Fairfax reported.
Some of Corbin's young friends have taken to Facebook to remember him.
One former schoolmate wrote: "You were a real funny guy and really good at rugby too... You will be missed by all as you have touched everyone's hearts".
Another friend described Corbin as "one of the happiest people I know".
"His smile made me smile he could always make you laugh and was a great friend to me I'll never forget you man I love you bro and I wish I could tell you this now to your face I love you bro. I love you bro was to early man I can't believe this happened I love you," the teenager said (sic).
A police spokesperson confirmed the vehicle was the only one involved in the crash, which happened on Maiseys Rd, near Waharoa, at 10am.
"As the crash is with the serious crash unit, the cause of the crash is still under investigation.
"Police can confirm there were four males in the car, aged between 16 and 19 years old.
"One 16-year-old died at the scene and the other three were taken to hospital with minor injuries."
A local resident said the four in the car were young men who had been working on a nearby chicken farm at the time.
Maiseys Rd - a quiet, dead-end road east of Waharoa township - has been closed as the police serious crash unit investigate.
Police said their thoughts are with the family of the boy who was killed.