The density of gold is 19.5 g/cm. What is this value in kilograms per cubic meter?

1 Answer
Mar 6, 2017

#rho=19.5xx10^3*kg*m^-3#

Explanation:

#rho=19.5*g*cm^3=(19.5*10^-3*kg)/(10^-2m)^3#

#(19.5xx10^-3*kg)/(10^-6m^3)#

#(19.5xx10^-3*kgxx10^6)m^-3# because #(1/x^-1=1/(1/x)=x)#

#=19.5xx10^3*kg*m^-3#

The price of gold is currently #$1232-10*USD*"troy ounce"^-1#.

Given that a #"troy ounce"# #-=# #31.1*g#, how much is your nugget worth?