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Math Help - converting units of measurement

  1. #1
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    converting units of measurement

    an olympic size pool is 50.0m long 25.0 m wide. a) how many gallons of water(d = 1.0g/mL) are needed to fill the pool to an average depth of 4.8ft? b) what is the mass (in kg) of water in the pool?

    Do I ever use the density formula in this?
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  2. #2
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    No. Since Water has a density of 1.0g/mL, you do not need to use the density formula. You CAN use it, but it would be pointless.

    Eg.
    Density * Volume = mass
    1.0g/mL * mL = g

    Since density = 1, then Volume = mass
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  3. #3
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    Quote Originally Posted by larryboi7 View Post
    an olympic size pool is 50.0m long 25.0 m wide. a) how many gallons of water(d = 1.0g/mL) are needed to fill the pool to an average depth of 4.8ft? b) what is the mass (in kg) of water in the pool?

    Do I ever use the density formula in this?
    But of course you must use the units!

    From the definition of density:

    density = \dfrac{mass}{volume}

    you'll get the mass by

    mass = density \cdot volume

    Since 4.8' = 1.46304 m you'll get the volume of the pool as:

    V = 50\ m \cdot 25\ m \cdot 1.46304\ m = 1,828.8\ m^3 = 1.8288\cdot 10^9\ ml

    Then the mass is

    m = 1\ \frac g{ml} \cdot 1.8288\cdot 10^9\ ml = 1.8288\cdot 10^9\ g = 1.8288\cdot 10^6\ kg
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