Animate objects states a condition for ending the animation and control of the constructs:
Each target animates and becomes a creature under your control until the spell ends or until reduced to 0 hit points.
Dispel magic says:
Choose one creature, object, or magical effect within range. Any spell of 3rd level or lower on the target ends. For each spell of 4th level or higher on the target, make an ability check using your spellcasting ability. The DC equals 10 + the spell's level. On a successful check, the spell ends.
If a character casts dispel magic on one of ten tiny constructs animated by animate objects, does that end the animate objects spell, and thereby end the animation of the other 9 constructs as well?