Question

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

Answer 1

`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?