Capacity

Convert between millilitres and litres using the metric relationships (1 cm cubed = 1 mL, 1000 mL = 1 L), and compare, order, and solve real-world capacity problems in mixed units.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Resources

  • Alpha textbook: Capacity in Ex 22.03, pg 350
  • CorbettMaths worksheet on converting between unitsQuestions PDF · Answers
  • Beta: Skills in Ex 15.02, pg 282

Terminology

  • capacity
  • volume
  • millilitre
  • litre

Task goals

  • Convert a capacity between millilitres and litres in either direction, including to a specified number of decimal places.
  • Compare and order a set of capacities given in mixed units (millilitres and litres).
  • Solve real-world word problems that require converting a capacity before comparing or working with it, and explain the conversion process.
  • Calculate the total capacity of several identical containers, or the number of smaller containers that can be filled from (or make up) a larger volume.
  • Solve multi-step word problems that combine addition, subtraction, and unit conversion of capacities expressed in litres, kilolitres, or megalitres.
  • Solve rate-based capacity problems, such as a fill or drain rate in litres per minute or kilolitres per hour, to find a time, and determine whether a total capacity is within a stated limit.

Teaching guidance

  • Students should know that 1 cm³ = 1 mL and 1000 cm³ = 1000 mL = 1 L.
  • Use metric prefixes e.g. milli, centi, kilo, mega.

Key skills

  • Capacity units
  • Volume units
  • Convert capacity units
  • Unit conversion
  • Metric conversion

Quick stats

  • 81 total questions
  • 3 difficulty levels
  • Answers included