What is the mass of a sample of gold that occupies #0.56 cm^3#?

The density of gold is #19.3# #g##/cm^3#.

1 Answer
anor277
Sep 20, 2016

#"Mass"# #~=10-11*g#

Explanation:

#"Density, "rho# #=# #"Mass"/"Volume"#.

Thus #"Mass"=rhoxx"volume"#

#=# #19.3*g*cancel(cm^-3)xx0.56*cancel(cm^3)# #~=10-11*g#.

This calculation is consistent dimensionally. I wanted a mass of gold, and the units cancelled to give an answer in grams, i.e. units of mass, which is a good check that I have multiplied correctly; it's all too easy to make a mistake.

Gold is worth approx #$42.38*USD*g^-1#. How much is your nugget worth?

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