I’m confused, is the housing broken? Some of the battery elements destroyed? How was the car still functioning but poorly, is it that when exposed the cold affe

I’m confused, is the housing broken? Some of the battery elements destroyed? How was the car still functioning but poorly, is it that when exposed the cold affected it? Total amount stored was reduced? It’s hard to understand how the scratches could total the battery like that while still allowing the car to drive.