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Converting Lengths, Areas, Volumes, and Mass including examples.

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- Image Source: http://www.simplum.com
- Many people need to convert Metric Units as part of their job. People such as Tradesmen, Engineers, Scientists, Construction Workers, Doctors, Pharmacists, Fashion Designers, Interior Decorators, Architects, Builders, Statisticians, Nurses, Firemen, CSI Detectives, and many others. Image Source: http://www.simplum.com
- It is easiest to use a conversion look-up diagram like the one below. Km m cm mm x 1000 x 100 x 10 ÷ 1000 ÷ 100 ÷ 10 5km = ? m Need to x 1000 5 x 1000 = 5000m 120cm = ? m Need to ÷ 100 120 ÷ 100 = 1.2m
- AREA consists of Square Units, so we need to SQUARE all our Lengths. Km2 m2 cm2 mm2 x 10002 x 1002 x 102 ÷ 10002 ÷ 1002 ÷ 102 5km2 = ? m2 Need to x 10002 5 x 1000 x 1000 = 5 000 000 m2 1200cm2 = ? m2 Need to ÷ 1002 1200 ÷ 100 ÷ 100 = 0.12 m2
- A “Hectare” ( symbol “ha”) is a square of land that is 100m by 100m big. Km2 ha m2 x 100 x 1002 ÷ 100 ÷ 1002 8ha = ? m2 Need to x 1002 8 x 100 x 100 = 80 000 m2 4200ha = ? km2 Need to ÷ 100 4200 ÷ 100 = 42 km2 100m 100mha One Hectare = 2.47 Acres
- 100m x 100m “Hectare” measures are used by Farmers, Property Developers, and Fire Fighters to measure amounts of land.
- VOLUME consists of Cube Units, so we need to CUBE all our Lengths. Km3 m3 cm3 mm3 x 10003 x 1003 x 103 ÷ 10003 ÷ 1003 ÷ 103 3m3 = ? cm3 Need to x 1003 3 x 100 x 100 x 100 = 3 000 000 cm3 VOLUME conversions use powers of 3, and usually create very large results. VOLUME is how much 3D space is occupied, and is measured in cubes.
- A sugar cube is roughly 1cm3 in size. The architectural model shown here is made of sugar cubes. - It takes a lot of cubes to make a model like this. If we wanted to make a 1m x 1m x 1m solid block using sugar cubes, we would need: 1m3 x100 x100 x100 = 1 million cubes!
- If we have a container filled with liquid or gas, the Volume is specified in “Capacity” units. Capacity units are Millilitres (mL), Litres (L), Kilolitres (kL) and Megalitres (ML). 1 mL = 1 cm3 1 L = 1000 cm3 1 L = 1000 mL 1 ML = 1 000 000 L 1 m3 = 1000 L 1 L of Water weighs 1 kg
- A cylindrical can of Coca Cola has a volume of 375cm3, but is labeled as 375mL because it contains liquid.
- The city of Melbourne’s main water storage (The Thomson Dam) has a capacity of 1.07 million ML . 1 070 000 000 000 x 1 litre bottles of Coca Cola
- In the Metric System, Capacity is based on the Litre or “L” unit. ML kL L mL x 1000 x 1000 x 1000 ÷ 1000 ÷ 1000 ÷ 1000 32ML = ? L Need to x 1000 twice 32 x 1000 x 1000 = 32 000 000 L CAPACITY conversions use 1000’s, and usually create fairly large results. The Volume of Liquids and Solids is usually measured as a “Capacity”.
- In the Metric System, Mass is based on the Gram or “g” unit. tonne kg g mg x 1000 x 1000 x 1000 ÷ 1000 ÷ 1000 ÷ 1000 1.6 tonne = ? kg Need to x 1000 1.6 x 1000 = 1600 kg Mass conversions use 1000’s, and usually create fairly large results. The Mass for weighing objects in Metric Units is similar to Capacity for Volumes.
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