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Math Help - Volume of a tetrahedron

  1. #1
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    Volume of a tetrahedron

    Hi all,
    I am going through an exam paper for homework (GCSE level). and there is a question which has got me.
    Basically I want to know how to rearrange this formula so i get "a" on its own.

    Volume = (1/12) a^3 (square root of 2)

    Thanks =D
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  2. #2
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    Quote Originally Posted by wowstainer View Post
    Hi all,
    I am going through an exam paper for homework (GCSE level). and there is a question which has got me.
    Basically I want to know how to rearrange this formula so i get "a" on its own.

    Volume = (1/12) a^3 (square root of 2)

    Thanks =D
    V=\frac1{12} a^3 \cdot \sqrt{2}~\iff~ a^3 = \frac{12 V}{\sqrt{2}}~\iff~ a = \sqrt[3]{6 \sqrt{2} \cdot V}
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