From Archimede's principle, the buoyant force is:

$\overline{){{\mathbf{F}}}_{{\mathbf{B}}}{\mathbf{=}}{{\mathbf{\rho}}}_{{\mathbf{r}}}{\mathbf{g}}{{\mathbf{V}}}_{{\mathbf{f}}}}$

The buoyant force, F_{B} = W_{s} + W_{b}

A fat slab of styrofoam, with a density of 32 kg/m^{3} floats on a lake. What minimum volume must the slab have so that a 40 kg boy can sit on the slab without sinking?

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