Please reason step by step, and put your final answer within \boxed{}.
A wooden cube with edge length $\ell=30$ cm floats in a lake. The density of the wood is $\rho=750 \mathrm{kг} / \mathrm{m}^{3}$, and the density of the water is $\rho_{0}=1000 \mathrm{kг} / \mathrm{m}^{3}$. What is the minimum work required to completely remove the cube from the water?
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