Question

which measurements have an si unit for density? 32 g/cm³ 3 cm/g 1.008 g/cm³ 109 cm³/g

Explanation:

Step1: Recall density formula

Density ($
ho$) is defined as mass ($m$) divided by volume ($V$), so $
ho = \frac{m}{V}$. The SI unit for mass is kilogram ($kg$) and for volume is cubic meter ($m^3$), so the SI unit for density is $\frac{kg}{m^3}$. However, a common non - SI but widely used unit for density is $\frac{g}{cm^3}$ (since $1\ g/cm^3=1000\ kg/m^3$). The unit of density should be mass per unit volume.

Step2: Analyze each option

• For $32\ g/cm^3$: The unit is grams (mass) per cubic centimeter (volume), so this is a density unit.
• For $3\ cm/g$: The unit is volume per unit mass, which is the reciprocal of density (specific volume), not density.
• For $1.008\ g/cm^3$: The unit is grams per cubic centimeter, which is a density unit.
• For $109\ cm^3/g$: The unit is volume per unit mass, which is specific volume, not density.

Answer:

The measurements with a density - like unit (in the form of mass per unit volume) are $32\ g/cm^3$ and $1.008\ g/cm^3$. So the correct options are:

• $\boldsymbol{32\ g/cm^3}$
• $\boldsymbol{1.008\ g/cm^3}$