The Math Meridian
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Unit conversions

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Learn it Bigger unit → smaller unit: multiply; smaller → bigger: divide. Squared and cubed units multiply the factor too: 1 m² = 10,000 cm², 1 m³ = 1,000,000 cm³ = 1,000 L. 1 cm³ = 1 mL. km/h ÷ 3.6 = m/s.

Example: A rectangular tank is 80 cm × 50 cm × 40 cm. How many litres does it hold?

  1. Volume: $80 \times 50 \times 40 = 160{,}000$ cm³.
  2. 1 cm³ = 1 mL, so that is 160,000 mL.
  3. $160{,}000 \div 1{,}000 = 160$ L.

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