Why Convert Units?
In real-life problems, measurements may be given in different units. To calculate surface area or volume correctly, all measurements must be in the same unit system.
Length Conversions:
| Conversion | Formula |
|---|---|
| m to cm | Multiply by 100 |
| mm to cm | Divide by 10 |
| cm to mm | Multiply by 10 |
| km to m | Multiply by 1000 |
| m to km | Divide by 1000 |
Area Conversions (Square Units):
| Conversion | Formula | Reason |
|---|---|---|
| m² to cm² | Multiply by 10,000 | — |
| mm² to cm² | Divide by 100 | 1 cm² = 10 mm × 10 mm = 100 mm² |
| km² to m² | Multiply by 1,000,000 | 1 km² = 1000 m × 1000 m = 1,000,000 m² |
Volume Conversions (Cubic Units):
| Conversion | Formula | Reason |
|---|---|---|
| m³ to cm³ | Multiply by 1,000,000 | — |
| mm³ to cm³ | Divide by 1000 | 1 cm³ = 10 mm × 10 mm × 10 mm = 1000 mm³ |
| litre (L) to cm³ | Multiply by 1000 | 1 L = 1000 cm³ |
| m³ to litre | Multiply by 1000 | 1 m³ = 1000 L |
Quick Reference Table:
| From | To | Multiply by |
|---|---|---|
| cm | m | 0.01 |
| m² | cm² | 10,000 |
| cm² | m² | 0.0001 |
| m³ | cm³ | 1,000,000 |
| cm³ | m³ | 0.000001 |