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3 October, 01:19

A merchant in Katmandu sells you a solid gold 6 kg statue for a very reasonable price. When you get home, you wonder whether or not you got a bargain, so you lower the statue into a measuring cup and measure its volume. What volume will verify that it's pure gold?

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  1. 3 October, 01:24
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    0.000311 m³

    Explanation:

    The formula that connect volume, mass and density is given below

    D = m/v ... Equation 1

    Where D = Density of the gold, m = mass of the gold, v = volume of the gold.

    make v the subject of the equation

    v = m/D ... Equation 2

    Given: m = 6 kg,

    Note the density of pure gold = 19300 kg/m².

    Substitute into equation 2

    v = 6/19300

    v = 0.000311 m³

    Hence the volume that will verify that it's a pure gold = 0.000311 m³
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