Question

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.

Answer 1

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).