Proper phrase for "ending someone's curiosity"

Question

I'm looking for a word or phrase to be used with the word curiosity which will mean that someone's curiosity ends after obtaining enough information on the thing he was curious about.

Example:

He was curious about what is inside the box. His friend opened the box. He saw inside the box and that ......... his curiosity.

Answer 1

The word you are looking for is "satisfy":

He saw inside the box and that satisfied his curiosity.

Example from merriam-webster.com:

The movie failed to satisfy her curiosity about the assassination.