Volume expansion:
V = L3 = L03(1+aDT)3 = V0(1+3aDT+...) => DV/V = 3aDT You could also write a formula with the coefficient of volume expansion, g, as:
\[ \rm \mathbf{ \frac{\Delta V}{V} = $\gamma$ \Delta T} \] Comparing the last two formulas then yields:
g = 3a
In both of the above derivations we were able to neglect terms
higher than linear in a, because
a is so small => aDT
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If, however, you are given the coefficient of volume expansion, g, then the formula you need to use is: