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=3m \qquad A=4m^{2} \qquad \\ \\ \textbf{Rechnung:} \\ e = \frac{2\cdot A}{ f} \\ f=3m\\ A=4m^{2}\\ e = \frac{2\cdot 4m^{2}}{ 3m}\\\\e=2\frac{2}{3}m \\\\\\ \tiny \begin{array}{|l|} \hline f=\\ \hline 3 m \\ \hline 30 dm \\ \hline 300 cm \\ \hline 3\cdot 10^{3} mm \\ \hline 3\cdot 10^{6} \mu m \\ \hline 0,003 km \\ \hline \end{array} \tiny \begin{array}{|l|} \hline A=\\ \hline 4 m^2 \\ \hline 400 dm^2 \\ \hline 4\cdot 10^{4} cm^2 \\ \hline 4\cdot 10^{6} mm^2 \\ \hline 0,04 a \\ \hline 0,0004 ha \\ \hline 4\cdot 10^{-6} km^2 \\ \hline \end{array} \tiny \begin{array}{|l|} \hline e=\\ \hline 2,67 m \\ \hline 26,7 dm \\ \hline 267 cm \\ \hline 2,67\cdot 10^{3} mm \\ \hline 2,67\cdot 10^{6} \mu m \\ \hline 0,00267 km \\ \hline \end{array}$