Ryan Evans got into difficulty in the lake with two friends, aged 12 and 13, but the other boys managed to swim back to the lake edge.
Paramedics, firefighters and a police helicopter joined the search after the alarm was raised on Monday.
Specialist divers were brought in to help the search in Stoke-on-Trent on Tuesday and Staffordshire Police said Ryan’s body was found on Wednesday evening.
A spokesperson said: “Ryan’s family have been informed and our thoughts and condolences are with them at this very difficult time.
“His family and friends, who were at the lake with him on Monday, are being supported by police and family liaison officers.”