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Math Help - Volume calculation

  1. #1
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    Volume calculation

    Is the volume of a container dependent on the mass and density of the liquid in it, according to the equation m = d x v (mass = density x volume)? If so, then a 1 cu.m container that is filled with water will hold 1000 L of water (density of water = 1 g/cm3). However, if the container is filled with petrol (density of petrol = 750 g/L), then a 1 cu.m container filled with petrol will hold 750 L of petrol? Is this correct?
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    Member Henderson's Avatar
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    The volume is the amount of three-dimensional space that something takes up- the volume of your container will always be 1 m^3, regardless of what's inside it. The mass will change, depending on the density of the material.
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    Re: Volume calculation

    Quote Originally Posted by Henderson View Post
    The volume is the amount of three-dimensional space that something takes up- the volume of your container will always be 1 m^3, regardless of what's inside it. The mass will change, depending on the density of the material.
    OK. But how does 1 cu.m = 1000 L? Can you show me how this has beeen determined?
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    Forum Admin topsquark's Avatar
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    Quote Originally Posted by damo12 View Post
    OK. But how does 1 cu.m = 1000 L? Can you show me how this has beeen determined?
    The long way (since I don't bother to remember many unit conversions):
    \frac{1~m^3}{1} \times \left ( \frac{100~cm}{1~m} \right )^3 \times \frac{1~mL}{1~cm^3} \times \frac{1~L}{1000~mL} = \frac{100^3~L}{1000} = 1000~L

    -Dan
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