If it is water it is probably the condensation drain plugged up with crud. If it is engine coolant it is probably the heater core leaking.
Water in the passenger side of the dashboard means the evaporator core is leaking. This needs to fix quickly as it will cause the inside of the car to be filled with water.
you probably need a new thermostat, remove the one you have then get a new one asap.
Sounds like heater core is leaking
The condensor drain line is stopped up. Clean out this line.
either ac drain is clogged or heater core is leaking
This is caused by a broken heater matrix. I have had this problem and its is a real pain to fix as you need to take most of you dashboard off to get to it.
because the air condition is cooling the air! The colder air gets, the less water it can keep. So the water drips out of the box, where the air is cooled.
water in passenger floorboard, where is the hose that would cause this?
busted raditator , check heater-core . most are found inside up under your dashboard . hope that helps you !
The pipe that runs under the back rear of the passenger side of a 196 Pontiac Grand Am is the water pump. If there is leaking under the passenger side, the first thing to check is the water pump.
your windshield seal has failed
The water pump is under the timing belt cover on the passenger side.