Converting Metric Units

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

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Converting Metric Units

  1. 1. Image Source: http://www.simplum.com
  2. 2. 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
  3. 3. It is easiest to use a conversion look-up diagram like the one below.Km m cm mmx 1000 x 100 x 10÷ 1000 ÷ 100 ÷ 105km = ? m Need to x 1000 5 x 1000 = 5000m120cm = ? m Need to ÷ 100 120 ÷ 100 = 1.2m
  4. 4. AREA consists of Square Units, so we need to SQUARE all our Lengths.Km2 m2 cm2 mm2x 10002 x 1002 x 102÷ 10002 ÷ 1002 ÷ 1025km2 = ? m2 Need to x 10002 5 x 1000 x 1000 = 5 000 000 m21200cm2 = ? m2 Need to ÷ 1002 1200 ÷ 100 ÷ 100 = 0.12 m2
  5. 5. A “Hectare” ( symbol “ha”) is a square of land that is 100m by 100m big.Km2 ha m2x 100 x 1002÷ 100 ÷ 10028ha = ? m2 Need to x 1002 8 x 100 x 100 = 80 000 m24200ha = ? km2 Need to ÷ 100 4200 ÷ 100 = 42 km2100m100mhaOne Hectare= 2.47 Acres
  6. 6. 100m x 100m “Hectare” measures are used by Farmers, PropertyDevelopers, and Fire Fighters to measure amounts of land.
  7. 7. VOLUME consists of Cube Units, so we need to CUBE all our Lengths.Km3 m3 cm3 mm3x 10003 x 1003 x 103÷ 10003 ÷ 1003 ÷ 1033m3 = ? cm3 Need to x 1003 3 x 100 x 100 x 100 = 3 000 000 cm3VOLUME conversions use powers of 3, and usually create very large results.VOLUME is how much 3D space is occupied, and is measured in cubes.
  8. 8. 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 sugarcubes, we would need: 1m3 x100 x100 x100 = 1 million cubes!
  9. 9. 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 cm31 L = 1000 mL1 ML = 1 000 000 L1 m3 = 1000 L1 L of Water weighs 1 kg
  10. 10. A cylindrical can of Coca Cola has avolume of 375cm3, but is labeled as375mL because it contains liquid.
  11. 11. The city of Melbourne’s main water storage (TheThomson Dam) has a capacity of 1.07 million ML .1 070 000 000 000 x 1 litre bottles of Coca Cola
  12. 12. In the Metric System, Capacity is based on the Litre or “L” unit.ML kL L mLx 1000 x 1000 x 1000÷ 1000 ÷ 1000 ÷ 100032ML = ? L Need to x 1000 twice 32 x 1000 x 1000 = 32 000 000 LCAPACITY conversions use 1000’s, and usually create fairly large results.The Volume of Liquids and Solids is usually measured as a “Capacity”.
  13. 13. In the Metric System, Mass is based on the Gram or “g” unit.tonne kg g mgx 1000 x 1000 x 1000÷ 1000 ÷ 1000 ÷ 10001.6 tonne = ? kg Need to x 1000 1.6 x 1000 = 1600 kgMass conversions use 1000’s, and usually create fairly large results.The Mass for weighing objects in Metric Units is similar to Capacity for Volumes.
  14. 14. Image Source: www.squidoo.com
  15. 15. http://passyworldofmathematics.com/All slides are exclusive Copyright of Passy’s World of MathematicsVisit our site for Free Mathematics PowerPoints

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