Beispiel Nr: 09
$\text{Gegeben:}\\\text{Fläche} \qquad A \qquad [m^{2}] \\ \text{Diagonale e} \qquad e \qquad [m] \\ \\ \text{Gesucht:} \\\text{Diagonale f} \qquad f \qquad [m] \\ \\ f = \frac{2\cdot A}{ e}\\ \textbf{Gegeben:} \\ A=\frac{1}{3}m^{2} \qquad e=1m \qquad \\ \\ \textbf{Rechnung:} \\ f = \frac{2\cdot A}{ e} \\ A=\frac{1}{3}m^{2}\\ e=1m\\ f = \frac{2\cdot \frac{1}{3}m^{2}}{ 1m}\\\\f=\frac{2}{3}m \\ \small \begin{array}{|l|} \hline A=\\ \hline 0,333 m^2 \\ \hline 33,3 dm^2 \\ \hline 3,33\cdot 10^{3} cm^2 \\ \hline 3,33\cdot 10^{5} mm^2 \\ \hline 0,00333 a \\ \hline 3,33\cdot 10^{-5} ha \\ \hline 3,33\cdot 10^{-7} km^2 \\ \hline \end{array}\\ \small \begin{array}{|l|} \hline e=\\ \hline 1 m \\ \hline 10 dm \\ \hline 100 cm \\ \hline 10^{3} mm \\ \hline 10^{6} \mu m \\ \hline 0,001 km \\ \hline \end{array}\\ \small \begin{array}{|l|} \hline f=\\ \hline 0,667 m \\ \hline 6,67 dm \\ \hline 66,7 cm \\ \hline 667 mm \\ \hline 6,67\cdot 10^{5} \mu m \\ \hline 0,000667 km \\ \hline \end{array}\\$