A cube of oak with sides 15cm long floats upright in water with 10.5cm of its depth submerged. What is the density of the oak?

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  1. The weight of the oak equals the weight of a 15 x 15 x 10.5 cm block filled with water (since that is the buoyancy force). That is the displaced volume of water.

    The density of the block is
    (water density)x(15 x 15 x 10.5)/(15 x 15 x 15) = 1 x 10.5/15
    = 0.70 gm/cm^3

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  2. Part inside = 10.5 /15
    And inside also equal to d1/d2
    And u get the answer 0.70

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