Units of area and volume
The area of a Having only two dimensions, usually length (or height) and width. shape is the amount of space inside it.
Area is measured in square millimetres (mm2), square centimetres (cm2), square metres (m2) and square kilometres (km2).
Capacity or The volume of a three-dimensional shape is a measure of the amount of space or capacity it occupies, eg an average can of fizzy drink has a volume of 330 ml. is the amount a An object with width, height and depth, eg a cube. object can hold.
The standard units of volume are litres (l), millilitres (ml), cubic metres (m3), cubic centimetres (cm3) and cubic millimetres (mm3).
Example
A gold bar is a cuboid measuring 5 cm by 10 cm by 8 cm. It is melted down and made into cubes with edges of length 2 cm. How many cubes can be made?
The volume of the cuboid is: \(5 \times 10 \times 8 = 400~\text{cm}^\text{3}\)
The volume of one cube is: \(2 \times 2 \times 2 = 8~\text{cm}^\text{3}\)
The number of cubes = \(\frac{\text{volume of the large cuboid}}{\text{volume of one cube}}\)
The number of cubes = \(\frac{400}{8} = 50\)
50 cubes can be made.