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A flat slab of styrofoam, with a density of 32 kg/m^3, floats on a lake. What is the minimum volume the slab must have so that a 42 kg boy can sit on the slab without it sinking?

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density water*g*volume-32g*volume-42g=0
volume= 42/(densitywater-32kg/m^3)

density water = 1000kg/m^3 approx.

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