Question

Calculate the volume of 450g of gold (density=19.3 g/cm^3)

Answer 1

`\text{Density,}~ \\\\~~~~~~~\rho = (m)/(V)\\\\\implies V = (m)/(\rho)\\\\~~~~~~~~~~=(450 ~g)/(19.3 ~ g~cm^(-3))\\\\~~~~~~~~~~=23.3~ cm^3\\\\\text{Hence, the volume of 450g gold is }~23.3 ~cm^3.`

Answer 2

use dimensional analysis and set up your equation like so:

`450g\ x\ (cm^3)/(19.3g)`

if you do the calculations, the 'g' should cancel out which leaves you with the unit 'cm³'

`cm^3=(450g)/(19.3g)`

`cm^3=23.31606218...`

= 23.3 cm³