Hi there, I think it really varies from child to child. Also if you've just dropped a nap the day would be shorter than a child who hadn't napped for a while.
For example at 3 my DS1 would've woke around 6.30 had no nap and been in bed by 7 but he hadn't napped since 30 months old.
If you were still having a nap then the day could be 13 hours long but it really depends on each child's needs.