Question

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

Answer 1

use dimensional analysis and set up your equation like so:

$450g\ x\ \frac{cm^3}{19.3g}$

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

$cm^3=\frac{450g}{19.3g}$

$cm^3=23.31606218...$

= 23.3 cm³

Answer 2

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