$
\text{Gegeben:}\\\text{Höhe} \qquad c \qquad [m] \\
\text{Breite} \qquad b \qquad [m] \\
\text{Länge} \qquad a \qquad [m] \\
\\ \text{Gesucht:} \\\text{Raumdiagonale} \qquad d \qquad [m] \\
\\ d = \sqrt{a^{2} +b^{2} +c^{2} }\\ \textbf{Gegeben:} \\ c=4m \qquad b=1m \qquad a=3m \qquad \\ \\ \textbf{Rechnung:} \\
d = \sqrt{a^{2} +b^{2} +c^{2} } \\
c=4m\\
b=1m\\
a=3m\\
d = \sqrt{(3m)^{2} +(1m)^{2} +(4m)^{2} }\\\\d=5,1m
\\\\\\ \small \begin{array}{|l|} \hline c=\\ \hline 4 m \\ \hline 40 dm \\ \hline 400 cm \\ \hline 4\cdot 10^{3} mm \\ \hline 4\cdot 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline b=\\ \hline 1 m \\ \hline 10 dm \\ \hline 100 cm \\ \hline 10^{3} mm \\ \hline 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline a=\\ \hline 3 m \\ \hline 30 dm \\ \hline 300 cm \\ \hline 3\cdot 10^{3} mm \\ \hline 3\cdot 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline d=\\ \hline 5,1 m \\ \hline 50\frac{101}{102} dm \\ \hline 510 cm \\ \hline 5,1\cdot 10^{3} mm \\ \hline 5,1\cdot 10^{6} \mu m \\ \hline \end{array}$