(cricket) An enclosed structure in which the scorers sit; often behind the scoreboard
(video games) A box overlaid on the screen to display the player's score.
1994, "Coyt D Watters", Projection TVs and SEGA (on newsgroup rec.games.video.sega)Video games are notorious for having relatively unchanging areas on the screen (ie the scorebox), which can quickly be burned into the screen.
2001, Matt Neuburg, REALbasic: the definitive guide (page 64)Recall that our arcade game is to have a scorebox that knows how to increase itself, and observe that this implies there is a score.