Solve for H
\left\{\begin{matrix}H=\frac{3V}{a^{2}}\text{, }&a\neq 0\\H\in \mathrm{R}\text{, }&V=0\text{ and }a=0\end{matrix}\right.
Solve for V
V=\frac{Ha^{2}}{3}
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\frac{1}{3}a^{2}H=V
Swap sides so that all variable terms are on the left hand side.
\frac{a^{2}}{3}H=V
The equation is in standard form.
\frac{3\times \frac{a^{2}}{3}H}{a^{2}}=\frac{3V}{a^{2}}
Divide both sides by \frac{1}{3}a^{2}.
H=\frac{3V}{a^{2}}
Dividing by \frac{1}{3}a^{2} undoes the multiplication by \frac{1}{3}a^{2}.
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