# What is the measurement of how much mass of a substance is contained in a unit of volume?

##### 1 Answer
Mar 14, 2017

You speak of $\text{density}$, $\text{mass per unit volume........}$

#### Explanation:

We define $\text{density}$, $\rho$, by the relationship:

$\rho = \text{Mass"/"Volume}$.

Typically (for chemists) $\rho$ has units $g \cdot m {L}^{-} 1$ or $g \cdot c {m}^{-} 3$.

$=$ $g \cdot c {m}^{-} 3$ $=$ $g \cdot {\left({10}^{-} 2 m\right)}^{-} 3$

$=$ $g \cdot {10}^{6} \cdot {m}^{-} 3$

$=$ $\cancel{g} \times {10}^{-} 3 \cdot k g \cdot \cancel{{g}^{-} 1} \times {10}^{6} \cdot {m}^{-} 3 = {10}^{3} \cdot k g \cdot {m}^{-} 3$