<s>[INST] Ice cubes are ideally made of ice in crushed form. The density of ice is $0.92 \text{ g/cm}^3$ and that of water is $1.0 \text{ g/cm}^3$. To what height can crushed ice (ice of density $0.8 \text{ g/cm}^3$ be added to a container of water so that the water level would rise by $1 \text{ cm}$ when the ice melts?[/INST]