# Volume of a tetrahedron

• Apr 9th 2008, 04:01 AM
wowstainer
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
• Apr 9th 2008, 05:06 AM
earboth
Quote:

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

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