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12 September, 05:41

The equation m = 19.32v can be used to find the mass m in grams of a pure gold coin with volume v in cubic centimeters. Carl has a coin with a mass of 37.8 grams. The coin's volume is 2.1 cubic centimeters. Could the coin be pure gold? Explain your reasoning.

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  1. 12 September, 09:24
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    Mass = density * volume

    mass = 19.32 * 2.1

    mass = 40.572 grams

    If the coin with a volume of 2.1 cubic centimeters were pure gold, it would weigh 40.572 grams.

    Since it weighs 37.8 grams, it isn't pure gold. (Its density is 18).
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