Estimating volume and capacity
In a nutshell
The volume of a shape tells you how much space it takes up. You can measure the volume by counting squares or using a formula. Liquids also take up volume. Objects such as containers and jugs have a capacity.
Volume
Volume is the measurement of how much space a 3D shape takes up. It can be measured in different units such $mm^3, cm^3$ and $m^3$.
Using cubes to find the volume
Cubes with a given length can be used to work out volume.
Example 1
Find the volume of the cuboid, by counting the cubes.
Firstly, count the number of cubes in the cuboid.
The cuboid is made up of $12$ cubes.
Since each cube is $1cm^3$ multiply this by $12$ to find the total volume.
The volume of the cuboid is $\underline{12cm^3}$.
Using the formula to find the volume
The volume of a cuboid can be found using the following formula:
$V=l \times w \times h$
 $V$
 The Volume of the cuboid.  $l$
 The length of the cuboid.  $w$
 The width of the cuboid.  $h$
 The height of the cuboid. 

Example 2
Find the volume of the cuboid using the formula.
$height = 3cm, \ width = 2cm, \ length = 5cm$
Substitute the values for height, width and length in to the formula.
$\begin{aligned}Volume &= l \times w \times h \\Volume &= 5 \times 2 \times 3 \\Volume &= \underline{30cm^3}\end{aligned}$
Capacity
Liquids also have a volume which takes up space in a given vessel, such as a jug. The jug's capacity is the maximum volume of liquid it may hold.
Example 3
Determine the capacity of the jug.
The jug is filled up to $1300ml$. However, the maximum capacity of the jug is $1500ml$.
The capacity of the jug is $\underline{1500ml}$.