What is the volume of a piece of diamond (𝜌 = 3.5 g/cm3) that has a mass of 0.70 kg?

Question

What is the volume of a piece of diamond (𝜌 = 3.5 g/cm3) that has a mass of 0.70 kg?

Answer 1

Volume equals mass divided by density (V = m/ρ) however the units given in the density (g/cm³) do not match the units given for mass (kg). There are 1000 grams in one kg so 0.70 kg = 700 g.

So V = 700/3.5 = 200 cm³