How to hide 3D text behind other game objects.

I'm making a menu screen and would like for certain buttons to move a menu element (square gameobjects) that starts outside of the camera range to move into the range. I can do that fine but I bumped into a problem.

My menu has 3D text in it, and when I move another game object in front of it, the text is still readable. The text should hide behind the gameobject, how can that be done?