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1.2 Cubes and Cube Roots

Mathematics · Grade 9 · 5 lessons in the design

What this covers

  • Cubes of numbers by multiplication, mathematical tables and calculator
  • Cube roots of numbers by factor method, mathematical tables and calculator
  • Volume of a cube as length cubed; stacking unit cubes

What you will be able to do

  • work out cubes of numbers by multiplication in real-life situations
  • determine cubes of numbers from mathematical tables in different situations
  • determine cube roots of numbers by factor method in different situations
  • determine cube roots of numbers from mathematical tables in different situations
  • determine cube and cube roots of numbers using a calculator
  • apply cubes and cube roots in real-life situations

Key questions

“How do we work out the cubes of numbers?”

“How do we work out the cube roots of numbers?”

“Where do we apply cubes and cube roots in real-life situations?”

Lessons

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  1. A cube is n times n times n
    40 min · 1 practice tasks · quiz
    A cube number is three equal factors. It is the volume of a cube whose edge is n units.
  2. Cubes by multiplication in Kenya
    40 min · 1 practice tasks · quiz
    Find n cubed by squaring first, then multiplying by n again. Use Kenyan lengths and money-free volumes.
  3. Cubes from mathematical tables
    40 min · 1 practice tasks · quiz
    Read cubes of decimals from mathematical tables, then check one value by multiplication.
  4. Cube roots by grouping factors in threes
    40 min · 1 practice tasks · quiz
    The cube root undoes a cube. Group prime factors in threes; leftover factors mean it is not a perfect cube.
  5. Calculator cubes and a Kenyan tank
    40 min · 1 practice tasks · quiz
    Use a calculator to cube and to cube-root, then apply volume of a cubic tank in metres and litres.