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3 March, 02:53

salt water has a density of 1030 kg/m^3. a piece of wood with mass of 1260 g is a cuboid with dimensions 7 cm x 10 cm x 15 cm. Will it float in water? a) Work out the volume of the wood b) Work out the density of the wood

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  1. 3 March, 03:06
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    No, the piece of Wood will not follow.

    a) Volume = 0.00105 m³

    b) Density of Wood = 1200 kg/m³

    Step-by-step explanation:

    For the piece of wood to float on salt water, the density of the wood should be less than 1030kg/m³

    First we'll calculate the volume of the piece of wood, which later we'll use to find the density.

    a) Volume of Wood

    Volume is given by 7 cm * 10 cm * 15 cm

    Convert all the values into meters.

    7 cm = 7/100 = 0.07 m

    10 cm = 10/100 = 0.10 m

    15 cm = 15/100 = 0.15 m

    Calculate Volume:

    Volume = 0.07 m * 0.1 m * 0.15 m

    Volume = 0.00105 m³

    b) Density of Wood

    Formula for density is given by

    Density = Mass / Volume

    Where

    Volume = 0.00105 m³

    Mass = 1260 g = 1260/100 = 1.260 kg

    Density = 1.260 kg/0.00105 m³

    Density of Wood = 1200 kg/m³

    As Density of Wood ≥ Density of Salt water, the piece of Wood will not float.
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