Density of gold is 19.32 [tex] \frac{g}{cm^{3}} [/tex]
Given volume of gold = 150[tex] cm^{3} [/tex]
Calculating the mass of gold from volume and density:
Density =[tex] \frac{Mass}{Volume} [/tex]
Mass = Density * Volume
= [tex] \frac{19.32g}{cm^{3} } *150cm^{3} = 2898 g [/tex]
Density of water = [tex] 1\frac{g}{cm^{3} } [/tex]
Calculating the volume of 2898 g water:
[tex] 2898 g *\frac{1cm^{3} }{1 g} = 2898 cm^{3} [/tex]
Therefore, 2898[tex] cm^{3} [/tex] water has the same mass as gold of volume 150 [tex] cm^{3} [/tex]
