a person pulls a box vertically out of water with an acceleration of 3m/s^2 using a very light rope that has a breaking strength of 22N. the person loses the box as the line snaps. what can you say about the mass of the box?

You cannot solve for the mass with only the information provided. You also need to know the fluid dynamic resistance (drag) and the buoyancy force. They depend upon size, velocity and volume.

rope tension = M g + Ma + Drag - Buoyancy > 22 N