According to the law of floatation, the buoyant force is equal to the weight of the fluid displaced. The buoyant force is also equal to the weight of the floating object. The volume of water displaced is equal to the minimum volume, V, of the styrofoam.

${\mathit{V}}_{\mathbf{s}}\mathbf{=}{\mathit{V}}_{\mathbf{w}}\mathbf{=}\mathit{V}$

A flat slab of styrofoam, with a density of 32kg/m^{3}, floats on a lake.

What minimum volume must the slab have so that a 33kg boy can sit on the slab without it sinking?

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