Prove the equation B=3A, where B is the coefficient of volume expansion and A is the coefficient of linear expansion, considering a cube of side 's' and therefore volume V=s^3 that undergoes a small temperature change 'dT' and corresponding length and volume changes 'ds' and 'dV'.
The Attempt at a Solution
I think I need to prove the coefficient of linear expansion, then prove the coefficient of volume expansion and observe the relationship between the two. I don't know where to start though, or if there is a more straight forward way. any help is appreciated, thanks