## Volume of Liquid

 6.3 Volume of Liquid

Convert Units of Volume of Liquid

 1 $$\ell$$ = 1000 m$$\ell$$

Convert 2 $$\ell$$ 360 m$$\ell$$ to m$$\ell$$.

Method:

 $$4\,\ell\;\;360\,\text{m}\ell=$$ _____  m$$\ell$$   $$4\,\ell\;\;360\,\text{m}\ell\Longrightarrow\;4\,\ell=4\,000\,\text{m}\ell \\\quad\quad\quad\quad\;\;\Longrightarrow\;360\,\text{m}\ell$$ $$4\,\ell\;\;360\,\text{m}\ell=4\,000\,\text{m}\ell\;+\;360\,\text{m}\ell \\\quad\quad\quad\quad\;\;=4\,360\,\text{m}\ell$$ $$4\,\ell\;\;360\,\text{m}\ell=4\,360\,\text{m}\ell$$

Mathematical sentence: $$112\;\ell\;+\;365\;\ell\;+\;78\;\ell=$$ _____ $$\ell$$

Method:

$$\begin{array} {rr} \small{\color{red}{1}}\space \small{\color{red}{1}}\quad\quad\; \\\space\space1\space1\space2\quad\ell \\\space\space3\space6\space5\quad\ell \\+\quad\space7\space8\quad\ell \\\hline\space\space5\space5\space5\quad\ell \\\hline \end{array}$$

Substraction of Volume of Liquid

Container A

2 350 $$\text{m}\ell$$

Container B

350 $$\text{m}\ell$$

How much more is the volume of container A than the volume of container B?

Mathematical sentence$$2\,350\;\text{m}\ell\;-\;350\;\text{m}\ell=$$ _____ $$\text{m}\ell$$

Method:

$$\begin{array} {rr} \\\;2\;3\;5\;0\quad\text{m}\ell \\-\;\;\;\;3\;5\;0\quad\text{m}\ell \\\hline\;\;\;2\;0\;0\;0\quad\text{m}\ell \\\hline \end{array}$$

So, the volume of container A is 2 000 m$$\ell$$ more than the volume of container B.

Multiplication of Volume of Liquid

A bottle of fresh milk has a volume of 3 $$\ell$$. What is the volume of 6 similar bottles of fresh milk?

Mathematical sentence$$6\;\times\;3\,\ell=$$  _____ $$\ell$$

Method:

$$\begin{array} {rr} \\\;\;3\;\;\ell \\\times\;\;\;\quad6\quad \\\hline\;\;\;1\;8\;\;\ell\\\hline \end{array}$$

So, the volume of 6 similar bottles of fresh milk is 18 $$\ell$$.

Division of Volume of Liquid

24 $$\ell$$ water is filled equally in 3 pails. What is the volume of water in each pail?

Mathematical sentence$$24\;\ell\;\div\;3=$$ _____ $$\ell$$

Method:

$$\;\;\;\;\;\,8\;\;\ell \\3\overline{\smash{)}2\,4\;\;\ell} \\\,\underline{-2\,4} \\\;\;\;\;\;\,0$$

So, the volume of water in each pail is 8 $$\ell$$.