What is the conversion factor from cubic metres to litres?

The conversion factor from cubic metres to litres is 1 cubic metre equals 1,000 litres.

To understand this conversion, it's helpful to know that both cubic metres and litres are units of volume. A cubic metre (m³) is a cube with sides that are each one metre long. This is a large unit of volume often used in contexts like measuring the volume of a room or a swimming pool.

On the other hand, a litre (L) is a smaller unit of volume commonly used for everyday items like bottles of water or milk. One litre is defined as the volume of a cube that is 10 centimetres (0.1 metres) on each side.

To convert from cubic metres to litres, you need to know that 1 cubic metre is equivalent to 1,000 litres. This is because a cubic metre contains 1,000 smaller cubes that are each 10 cm (or 0.1 m) on each side. Mathematically, this is shown as:

\[ 1 \, \text{m}^3 = (10 \, \text{cm} \times 10 \, \text{cm} \times 10 \, \text{cm})^3 = 1,000 \, \text{litres} \]

So, if you have a volume in cubic metres and you want to convert it to litres, you simply multiply the number of cubic metres by 1,000. For example, 2 cubic metres would be:

\[ 2 \, \text{m}^3 \times 1,000 = 2,000 \, \text{litres} \]

This conversion is very useful in many practical situations, such as when you need to fill a tank or a pool and the volume is given in cubic metres but the capacity of your containers is in litres.