# A beaker contains 0.32 L of water. What is the volume of this in milliliters?

May 15, 2017

$320 \cdot m L$

#### Explanation:

The $\text{milli}$ prefix $\equiv$ ${10}^{-} 3$. And thus $1 \cdot m L$ $\equiv$ ${10}^{-} 3 \cdot L$.

And so $0.32 \cdot L \equiv 0.32 \cdot \cancel{L} \times {10}^{3} \cdot m L \cdot \cancel{{L}^{-} 1} = 320 \cdot m L .$

Sometimes (especially in Old Blighty), we use the $\text{cubic decimeter}$ to represent $1 \cdot L$. How? Well there are $1000 \cdot L$ in a $\text{cubic meter}$, a rather large volume, that is certainly no good as a unit of measurement in a lab.........

But $1 \cdot {\mathrm{dm}}^{3} = {\left(1 \times {10}^{-} 1 \cdot m\right)}^{3} = {10}^{-} 3 \cdot {m}^{3} = 1 \cdot L$ as required.........