Question

What volume of water has the same mass as 150 cm3 of gold?

Answer 1

Density of gold is 19.32 $\frac{g}{cm^{3}}$

Given volume of gold = 150$cm^{3}$

Calculating the mass of gold from volume and density:

Density =$\frac{Mass}{Volume}$

Mass = Density * Volume

= $\frac{19.32g}{cm^{3} } *150cm^{3} = 2898 g$

Density of water = $1\frac{g}{cm^{3} }$

Calculating the volume of 2898 g water:

$2898 g *\frac{1cm^{3} }{1 g} = 2898 cm^{3}$

Therefore, 2898$cm^{3}$ water has the same mass as gold of volume 150 $cm^{3}$