Convert square and cubic units of length
Key notes:
1 centimetre (cm) = 10 millimetres (mm)
1 metre (m) = 100 centimetres (cm)
Learn with an example
➡️ Convert: 100 square millimetres = _______ square centimetres
Start with the given quantity, 100 square millimetres:
100 mm2
Next, write a conversion factor to convert millimetres to centimetres. Make sure the conversion factor has millimetres in the denominator so that the units cancel properly. Since the units are squared, multiply by the conversion factor twice.
100 mm2 x 1 cm / 10 mm x 1 cm / 10 mm
Now simplify:
100 mm2 x 1 cm2 / 100 mm2 Multiply the conversion factors
1 cm2 Divide
100 square millimetres = 1 square centimetre
➡️ Convert: 10,000 square centimetres = ______ square metres
Start with the given quantity, 10,000 square centimetres:
10,000 cm2
Next, write a conversion factor to convert centimetres to metres. Make sure the conversion factor has centimetres in the denominator so that the units cancel properly. Since the units are squared, multiply by the conversion factor twice.
10,000 cm2 x 1 m / 100 cm x 1 m / 100 cm
Now simplify:
10,000 cm2 x 1 m2 / 10000 cm2 Multiply the conversion factors
1 m2 Divide
10,000 square centimetres = 1 square metre
➡️ Convert: _____ square metres = 10,000 square centimetres
Start with the given quantity, 10,000 square centimetres:
10,000 cm2
Next, write a conversion factor to convert centimetres to metres. Make sure the conversion factor has centimetres in the denominator so that the units cancel properly. Since the units are squared, multiply by the conversion factor twice.
10,000 cm2 x 1 m / 100 cm x 1 m / 100 cm
Now simplify:
10,000 cm2 x 1m2 / 10000 cm2 Multiply the conversion factors
1 m2 Divide
1 square metre = 10,000 square centimetres
Let’s practice! 🖊️
