Volume of a tetrahedron

**wowstainer** · April 9th 2008, 03:01 AM

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

**earboth** · April 9th 2008, 04:06 AM

Originally Posted by wowstainer

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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