Beispiel Nr: 01
$ \text{Gegeben:}\\\text{Diagonale f} \qquad f \qquad [m] \\ \text{Fläche} \qquad A \qquad [m^{2}] \\ \\ \text{Gesucht:} \\\text{Diagonale e} \qquad e \qquad [m] \\ \\ e = \frac{2\cdot A}{ f}\\ \textbf{Gegeben:} \\ f=4m \qquad A=5m^{2} \qquad \\ \\ \textbf{Rechnung:} \\ e = \frac{2\cdot A}{ f} \\ f=4m\\ A=5m^{2}\\ e = \frac{2\cdot 5m^{2}}{ 4m}\\\\e=2\frac{1}{2}m \\\\\\ \tiny \begin{array}{|l|} \hline f=\\ \hline 4 m \\ \hline 40 dm \\ \hline 400 cm \\ \hline 4\cdot 10^{3} mm \\ \hline 4\cdot 10^{6} \mu m \\ \hline 0,004 km \\ \hline \end{array} \tiny \begin{array}{|l|} \hline A=\\ \hline 5 m^2 \\ \hline 500 dm^2 \\ \hline 5\cdot 10^{4} cm^2 \\ \hline 5\cdot 10^{6} mm^2 \\ \hline 0,05 a \\ \hline 0,0005 ha \\ \hline 5\cdot 10^{-6} km^2 \\ \hline \end{array} \tiny \begin{array}{|l|} \hline e=\\ \hline 2,5 m \\ \hline 25 dm \\ \hline 250 cm \\ \hline 2,5\cdot 10^{3} mm \\ \hline 2,5\cdot 10^{6} \mu m \\ \hline 0,0025 km \\ \hline \end{array}$