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It really depends on what size cylinder you back-drive and how much air you start with in the system, as well as the size of your suction cup and the quality of the seal it makes with the box. If you want to calculate the amount of force you will be able to exert, you're going to need the following equation:
P0*V0=Pf*Vf, where P0 is the initial pressure of your system (usually 1 atm), V0 is the initial volume of air in the system, Vf is the final volume after extending the cylinder, and Pf is the final pressure of the system. Thus to calculate your sucking power, subtract Pf from P0 to get the pressure difference from atmospheric. This will be the number of psi your suction cup holds with. Multiply this by the area of your cup and you will have a decent estimate of how much sucking power you have.
As a side note, 1atm is approx 14.1 psi if I remember correctly.
--Rob
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