Sorry incorrect. NEITHER cement nor cold will discharge a battery
A battery can discharge because of dirt/ moisture on the top area, so keep it clean and dry
A COLD battery that is properly charged WILL HAVE LESS POWER simply because the cold retards chemical action. It WILL however, discharge more SLOWLY. This is why some folks keep dry cell batteries in storage in the refrigerator--as to I--longer storage life WHEN COLD
A discharged or partly discharged battery that is stored cold is in danger of freezing. Not so a properly charged battery
A battery will actually self--discharge-simply from chemical action--faster when stored hot, than cold.
Cement floors have not a thing to do with it.