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26 September, 03:20

A non-standard issue U. S. Federal Reserve gold bar measures 7.00 x 4.625 x 2.14 inches. If gold has a density of 19.3 g/cm3, what is the mass of a gold bar in kg and pounds?

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  1. 26 September, 03:48
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    mass is 48.1666 pound

    Explanation:

    given data

    gold bar length L = 7 inches = 17.78 cm

    gold bar width W = 4.625 inches = 11.75 cm

    gold bar height H = 2.14 inches = 5.43 cm

    gold density = 19.3 g/cm³

    to find out

    mass of gold bar

    solution

    we know volume of gold bar that is

    volume = L*W*H ... 1

    volume = 17.78*11.75*5.43

    volume V = 1134.40 cm

    now we know that

    density = mass / volume ... 2

    so put here value

    19.3 = mass / 1134.40

    mass = 19.3 * 1134.40

    mass = 21893.92 gram

    we know 1 gram = 0.0022 pound

    so mass is 48.1666 pound
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