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28 August, 11:47

Platinum has a density of 21.4 g/cm3. if thieves were to steal platinum from a bank using a small truck with a maximum payload of 900 lb, how many 1 l bars of the metal could they take?

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  1. 28 August, 15:15
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    We will convert the 1dm3 in terms of cm3 as follows:

    1dm^3 = (10 cm) ^3

    = 1000 cm^3

    The mass of platinum is equal to 900 lb.

    Then we will convert the mass in terms of grams as follows:

    1 lb = 453.6 g

    90 0 = 900 x 453.6 g

    = 408240 g

    Then density of platinum is equal to 21.4 g/cm^3

    We will calculate the volume of platinum in mass 408240 g as follows:

    Volume of platinum = mass of platinum / density of platinum

    = 408240 g / 21.4 g/cm^3

    = 19076.6 cm^3

    The total volume of platinum is 19076.6 cm^3

    The volume of platinum in 1 L bar is 1000cm^3

    So, to calculate the number of bars we will use the formula as follows;

    Number of bars = volume of platinum available / volume of platinum required in 1 L bar

    = 19076.6 cm^3 / 1000 cm^3

    = 19

    So, the number of bars are 19.
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