find density of mass 500g mass is perfect 2cm cube also it is gold show work please

Question

A mass is 500g   It is a perfect 2cm cube  I need the density and is it gold?  Show work please

Answer 1

Hi Pam,

I'm not sure whether you meant the cube had a volume of 2cm³ or a side length of 2cm, so I will work out the problem both ways.

 

Volume = 2cm³

So you need to find the density of a cube with volume(V) = 2cm³ and mass(m) = 500g.

The units of density are mass/volume, so all you need to do is divide the mass by volume.

Density = 500g/2cm³ = 250g/cm³

 

Side = 2cm

The units of density are mass/volume, so we need to first find the volume of the cube, then divide the mass by the volume.

Volume = length³ = (2cm)³ = 8cm³

Density = 500g/8cm³ = 62.5g/cm³