Inverse cube-root relation

Inverse cube-root relation

Secondary 2
4 marks
TGM Original Questions

Optional extension

The quantity \(a\) is inversely proportional to \(4\sqrt[3]{b}\), and \(a=3\) when \(b=8\). Find

  1. the equation connecting \(a,b\), and[2]
  2. \(b\) when \(a=12\).[2]

Solution:

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Answer:(a) \(a=\dfrac6{\sqrt[3]{b}}\) (b) \(b=\dfrac18\).

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