GATE Mechanical Engineering (ME) 2019 Shift 1 Solved Paper

A cube of side $100\mathit{m}\mathit{m}$ is placed at the bottom of an empty container on one of its faces. The density of the cube is $800\mathit{k}\mathit{g}∕{\mathit{m}}^3$, Liquid of density $1000\mathit{k}\mathit{g}∕{\mathit{m}}^3$ is now poured into the container. The minimum height to which the liquid needs to be poured into the container for the cube to just lift up is _____________ mm