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G
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$ V = G\cdot h $
$ G = \frac{V}{h} $
$ h = \frac{V}{G} $
$ O = 2\cdot G +M $
$ G = \frac{O-M}{2} $
$ M = O- 2\cdot G $
Geometrie-Stereometrie-Prisma
$V = G\cdot h$
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2
$G = \frac{V}{h}$
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$h = \frac{V}{G}$
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2
$O = 2\cdot G +M $
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$G = \frac{O-M}{2}$
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$M = O- 2\cdot G $
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Beispiel Nr: 03
$\begin{array}{l}
\text{Gegeben:}\\\text{Oberfläche} \qquad O \qquad [m^{2}] \\
\\\text{Grundfläche} \qquad G \qquad [m^{2}] \\
\\ \text{Gesucht:} \\\text{Mantelfläche} \qquad M \qquad [m^{2}] \\
\\ M = O- 2\cdot G \\ \textbf{Gegeben:} \\ O=1,2\cdot 10^{3}m^{2} \qquad G=300m^{2} \qquad \\ \\ \textbf{Rechnung:} \\
M = O- 2\cdot G \\
O=1,2\cdot 10^{3}m^{2}\\
G=300m^{2}\\
M = 1,2\cdot 10^{3}m^{2}- 2\cdot300m^{2} \\
M=600m^{2}
\\\\\\ \small \begin{array}{|l|} \hline O=\\ \hline 1,2\cdot 10^{3} m^2 \\ \hline 1,2\cdot 10^{5} dm^2 \\ \hline 1,2\cdot 10^{7} cm^2 \\ \hline 1,2\cdot 10^{9} mm^2 \\ \hline 12 a \\ \hline \frac{3}{25} ha \\ \hline \end{array} \small \begin{array}{|l|} \hline G=\\ \hline 300 m^2 \\ \hline 3\cdot 10^{4} dm^2 \\ \hline 3\cdot 10^{6} cm^2 \\ \hline 3\cdot 10^{8} mm^2 \\ \hline 3 a \\ \hline \frac{3}{100} ha \\ \hline \end{array} \small \begin{array}{|l|} \hline M=\\ \hline 600 m^2 \\ \hline 6\cdot 10^{4} dm^2 \\ \hline 6\cdot 10^{6} cm^2 \\ \hline 6\cdot 10^{8} mm^2 \\ \hline 6 a \\ \hline \frac{3}{50} ha \\ \hline \end{array} \end{array}$