They don't really have much in common.

"zu" = to (we go to the car), closed (the shop/window is closed), too (it's too cold)

"aus" = out of (I take it out of the fridge), from (I am from Germany), [turned] off (the radio is off), over (the show is over)

"Wir gehen zum Haus" = "We go to the house"

"Wir gehen aus dem Haus" = "We go out of the house"

I think you are missing "the" article