Beispiel Nr: 05
$ \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=\frac{1}{3}m \qquad A=\frac{3}{4}m^{2} \qquad \\ \\ \textbf{Rechnung:} \\ e = \frac{2\cdot A}{ f} \\ f=\frac{1}{3}m\\ A=\frac{3}{4}m^{2}\\ e = \frac{2\cdot \frac{3}{4}m^{2}}{ \frac{1}{3}m}\\\\e=4\frac{1}{2}m \\ \small \begin{array}{|l|} \hline f=\\ \hline 0,333 m \\ \hline 3,33 dm \\ \hline 33,3 cm \\ \hline 333 mm \\ \hline 3,33\cdot 10^{5} \mu m \\ \hline 0,000333 km \\ \hline \end{array}\\ \small \begin{array}{|l|} \hline A=\\ \hline 0,75 m^2 \\ \hline 75 dm^2 \\ \hline 7,5\cdot 10^{3} cm^2 \\ \hline 7,5\cdot 10^{5} mm^2 \\ \hline 0,0075 a \\ \hline 7,5\cdot 10^{-5} ha \\ \hline 7,5\cdot 10^{-7} km^2 \\ \hline \end{array}\\ \small \begin{array}{|l|} \hline e=\\ \hline 4,5 m \\ \hline 45 dm \\ \hline 450 cm \\ \hline 4,5\cdot 10^{3} mm \\ \hline 4,5\cdot 10^{6} \mu m \\ \hline 0,0045 km \\ \hline \end{array}\\$