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10 March, 19:01

A rectangular wooden block measures 10.0cm x 4.00cm x 2.00cm. when the block is placed in water, it floats horizontally, with its bottom face 1.65cm below the surface. what is the density of the wood? show and explain your work.

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  1. 10 March, 20:04
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    The density of the wood is

    ρ₂ = 1.21 g / cm³

    Explanation:

    The block measures

    V₁ = 10.0 cm * 4.0 cm * 2.0 cm

    V₁ = 80 cm³

    Now the block measures under the water getting just the face below as 1.65 cm

    V₂ = 10.0 cm * 4.0 cm * 1.65 cm

    V₂ = 66 cm³

    So to determine the density knowing the mass are the same as the weight

    ρ₁ * V₁ = ρ₂ * V₂

    Using the density of the water as a

    ρ₁ = 1 g / cm ³

    1 g / cm³ * 80 cm ³ = ρ₂ * 66 cm³

    ρ₂ = 1.21 g / cm³
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