$
\text{Gegeben:}\\\text{Länge} \qquad a \qquad [m] \\
\text{Breite} \qquad b \qquad [m] \\
\text{Oberfläche} \qquad O \qquad [m^{2}] \\
\\ \text{Gesucht:} \\\text{Höhe} \qquad c \qquad [m] \\
\\ c = \frac{O-2\cdot b\cdot a}{2\cdot (b+a)}\\ \textbf{Gegeben:} \\ a=7m \qquad b=1m \qquad O=8m^{2} \qquad \\ \\ \textbf{Rechnung:} \\
c = \frac{O-2\cdot b\cdot a}{2\cdot (b+a)} \\
a=7m\\
b=1m\\
O=8m^{2}\\
c = \frac{8m^{2}-2\cdot 1m\cdot 7m}{2\cdot (1m+7m)}\\\\c=-\frac{3}{8}m
\\\\\\ \small \begin{array}{|l|} \hline a=\\ \hline 7 m \\ \hline 70 dm \\ \hline 700 cm \\ \hline 7\cdot 10^{3} mm \\ \hline 7\cdot 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline b=\\ \hline 1 m \\ \hline 10 dm \\ \hline 100 cm \\ \hline 10^{3} mm \\ \hline 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline O=\\ \hline 8 m^2 \\ \hline 800 dm^2 \\ \hline 8\cdot 10^{4} cm^2 \\ \hline 8\cdot 10^{6} mm^2 \\ \hline \frac{2}{25} a \\ \hline 0,0008 ha \\ \hline \end{array} \small \begin{array}{|l|} \hline c=\\ \hline -\frac{3}{8} m \\ \hline -3\frac{3}{4} dm \\ \hline -37\frac{1}{2} cm \\ \hline -375 mm \\ \hline -3,75\cdot 10^{5} \mu m \\ \hline \end{array}$