I, at first look, thought this was for soap.
Then opened it up to see three sections and a mirror, each 3/4" x 3". I am now thinking it was made for lipstick.
Case is a hard plastic, white marbled effect
measures approx. 2 1/2" x 3 1/2" x 1"
It is in very good condition
No brand marking
Any questions, please message me. Thanks for looking!