Beispiel Nr: 01
$\text{Gegeben:}\\\text{Länge} \qquad a \qquad [m] \\ \text{Breite} \qquad b \qquad [m] \\ \text{Oberfläche} \qquad O \qquad [m^{2}] \\ \\ \text{Gesucht:} \\\text{Höhe} \qquad c \qquad [m] \\ \\ c = \frac{O-2\cdot b\cdot a}{2\cdot (b+a)}\\ \textbf{Gegeben:} \\ a=7m \qquad b=1m \qquad O=8m^{2} \qquad \\ \\ \textbf{Rechnung:} \\ c = \frac{O-2\cdot b\cdot a}{2\cdot (b+a)} \\ a=7m\\ b=1m\\ O=8m^{2}\\ c = \frac{8m^{2}-2\cdot 1m\cdot 7m}{2\cdot (1m+7m)}\\\\c=-\frac{3}{8}m \\\\\\ \tiny \begin{array}{|l|} \hline a=\\ \hline 7 m \\ \hline 70 dm \\ \hline 700 cm \\ \hline 7\cdot 10^{3} mm \\ \hline 7\cdot 10^{6} \mu m \\ \hline 0,007 km \\ \hline \end{array} \tiny \begin{array}{|l|} \hline b=\\ \hline 1 m \\ \hline 10 dm \\ \hline 100 cm \\ \hline 10^{3} mm \\ \hline 10^{6} \mu m \\ \hline 0,001 km \\ \hline \end{array} \tiny \begin{array}{|l|} \hline O=\\ \hline 8 m^2 \\ \hline 800 dm^2 \\ \hline 8\cdot 10^{4} cm^2 \\ \hline 8\cdot 10^{6} mm^2 \\ \hline 0,08 a \\ \hline 0,0008 ha \\ \hline 8\cdot 10^{-6} km^2 \\ \hline \end{array} \tiny \begin{array}{|l|} \hline c=\\ \hline -0,375 m \\ \hline -3,75 dm \\ \hline -37,5 cm \\ \hline -375 mm \\ \hline -3,75\cdot 10^{5} \mu m \\ \hline -0,000375 km \\ \hline \end{array}$