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MathidiaMathematics Academy
Area, circumference and volume
Lesson 50 of 75
Review

Compound units and conversions

Objective. Convert area and volume units and solve measure problems.

  1. 1. Learn
  2. 2. Worked example
  3. 3. Practice
  4. 4. Feedback
  5. 5. Continue

Learn: the key idea

Compound units and conversions develops a connected mathematical idea rather than an isolated trick. Derive and apply measures for compound and curved shapes. Begin by representing the quantities or relationships, choose a rule that fits, justify each transformation, and finish by checking units, signs, scale and whether the answer is reasonable.

Worked example

Which unit measures volume?

cm³
Illustrated card showing cm³
  1. 1Identify the known information, the unknown and any conditions.
  2. 2Choose a diagram, table, graph or algebraic representation that exposes the structure.
  3. 3Apply the relevant rule one justified step at a time, keeping exact values where useful.
  4. 4Check by substitution, inverse reasoning or estimation. The result is cm³.

Answer: cm³

Concept mastery

Based on your past attempts at this lesson — the question types to practise again come first.

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Practice

Practice happens on its own screen, one question at a time. Answers stay hidden until you submit yours, and you can stop and pick up at the same question later.

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Common mistake. A common error in compound units and conversions is to copy a procedure without checking its conditions. Label the structure first and justify every sign, operation and unit.

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