# How do you convert 17.3 cm^3 to liters?

Aug 26, 2016

$17.3 \cdot c {m}^{3}$ $=$ $0.0173 \cdot L$. How?

#### Explanation:

In $\text{1 cubic metre}$ there are $1000$ $L$.

$17.3 \cdot c {m}^{3}$ $=$ $17.3 \times {\left({10}^{-} 2 m\right)}^{3}$, i.e. $\text{centi} = {10}^{-} 2$

$=$ $17.3 \times {\left({10}^{-} 2 m\right)}^{3}$ $=$ $17.3 \times {10}^{-} 6 \cdot {m}^{3}$

$=$ $17.3 \times {10}^{-} 6 \cdot \cancel{{m}^{3}}$ $\times$ ${10}^{3} \cdot L \cdot \cancel{{m}^{-} 3}$

$=$ $17.3 \times {10}^{-} 3 \cdot L$

$=$ $0.0173 \cdot L \text{ as required} .$

In England, sometimes we replace $L$ with ${\mathrm{dm}}^{-} 3$ $=$ ${\left({10}^{-} 1 \cdot m\right)}^{3}$ $=$ ${10}^{-} 3 \cdot {m}^{3}$ $=$ $1 L$. Mind you, now England has left the EU we might even move back to $\text{pints}$, and $\text{furlongs}$.