Many people incorrectly assume that as there are 100 cm in a metre then there must also be 100 cm^{2} in 1 m^{2} and 100 cm^{3} and 1 m^{3}. Working through the pictures below should convince you that there are:

**100 cm in 1 m but**

** 10,000 cm ^{2} in 1 m^{2}**

**and 1,000,000 cm**

^{3}in 1 m^{3}### Length

**1 m = 100 cm**

### Area

**1 m ^{2} = 100 × 100 = 10 000 cm^{2}**

** = 10 ^{4} cm^{2}**

### Volume

**1 m ^{3} = 100 × 100 × 100 = 1 000 000 cm^{3}**

** = 10 ^{6} cm^{3}**

**one litre = 1000 cm ^{3}**

**1 l = 1000 cm ^{3}**

**1 m ^{3} = 1000 l**

Now read this post in conjunction with the one on units for area and volume! The units for **area** are **square metres** and the units for **volume** are **cubic metres**. Don’t confuse either of these with metres square or metres cubed!