This sounds like a specific puzzle in a game, but "Game Show Island" isn't a widely known title. To solve it, I need details:
That island doesn't exist in classic Poptropica. Closest: Game Show Island (fan-made?) or Reality TV Island (compete in challenges). The "box" might be a prop in a minigame.
Reply with the exact game name and what happens when you interact with the box. Screenshots help.