Unit conversion trap: same factor for length area size
A 100-fold gap between centimetres and metres and 10,000-fold gap between square centimetres and square metres is the most easily converted volume.
The unit conversion is a routine high frequency operation, but many apply the length factor directly to area and volume. One metre is equal to 100 centimetres, which is the length; but one square metre is equal to 100 per cent, i.e. 10,000 centimetres of centimetres, and the difference is square relationships. The volume is more exaggerated, with one cubic metre equal to 1 million cubic centimetres. Using an error dimension factor, the result is several orders of magnitude.
Application factor by dimension
- Length: 1 m = 100 cm (× 100)
- Area: 1 m2 = 10000 cm2 (x 1002)
- Volume: 1 cubic metre = 1,000,000 cubic centimetres (x 1003)
- velocity units are to process the molecular denominator simultaneously.
The g and cup conversion in cooking is also a disaster-prone area, as detailed in [g and cup conversion] (/grams-to-cups). The accuracy of the physical volume conversion is also associated with [rounding-significant-figures] (/rounding-significant-figures) and retention of too many digits is false and too few are incorrect. The formulation scaling also needs to be matched by a multiplication of the understanding of the [scale versus match] (/ratio-and-scaling).
Speed and time trap
The common mistake is to use "kilometres per hour" directly as "metres per second". The correct approach is 1 km/h = 1000 m/ 3600 seconds ≈ 0.278 m/s. In such cases, which involve a simultaneous change between the two units, it is suggested that the formula should move step by step to avoid intuitiveness. Where a rapid determination of the ratio is required, the [percentage heart calculation techniques] (/mental-percentage-tricks) estimation scale may be combined.