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8 April, 15:55

3. You measure a cube and determine that its sides are 0.65m. You place the cube on a mass scale and determine that this cube has a mass of 10,500 grams. What is the density of this cube in units of kg/m3 and in units of g/mL?

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  1. 8 April, 16:02
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    The density of the cube in-

    Kg/m³ = 38.234 kg/m³

    g/mL = 0.038234 g/mL

    Explanation:

    We know that volume of the cube equals m ³

    Where "m" equals side of the cube

    Given data-

    Side of the cube=0.65m

    mass of the cube = 10,500 gm

    We know that 1000gm = 1 kg

    Hence, 10,500 gm = 10.5 kg

    Volume of the cube = (0.65) ³

    ∴ Volume = 0.274625 m ³

    We know that density = mass/volume

    ⇒Substituting the value of mass and volume, we get-

    ⇒Density = 10.5/0.274625 = 38.234 kg/m³

    We know that 1 kg/m³ = 0.001 g/mL

    Hence 38.234 kg/m³ would equal 0.038234 g/mL

    Hence the density of the cube is 38.234 kg/m³ and 0.038234 g/mL
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