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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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2 
 $h = \frac{V}{G}$ 
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2 
 $O = 2\cdot G +M $ 
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2 
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 $G = \frac{O-M}{2}$ 
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2 
 $M =  O- 2\cdot G  $ 
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                Beispiel Nr: 01
            
        
           $\begin{array}{l} 
      \text{Gegeben:}\\\text{Mantelfläche} \qquad M \qquad [m^{2}] \\
      \text{Grundfläche} \qquad G \qquad [m^{2}] \\
      \\ \text{Gesucht:} \\\text{Oberfläche} \qquad O \qquad [m^{2}] \\
     \\ O = 2\cdot G +M \\ \textbf{Gegeben:} \\ M=3m^{2} \qquad G=5m^{2} \qquad \\ \\ \textbf{Rechnung:} \\
   O = 2\cdot G +M  \\
      M=3m^{2}\\
      G=5m^{2}\\
     O = 2 \cdot 5m^{2} +  3m^{2}\\\\
	 O=13m^{2}
    \\\\\\ \small \begin{array}{|l|} \hline M=\\  \hline 3 m^2  \\  \hline 300 dm^2  \\  \hline 3\cdot 10^{4} cm^2  \\  \hline 3\cdot 10^{6} mm^2  \\  \hline \frac{3}{100} a  \\  \hline 0,0003 ha  \\ \hline \end{array} \small \begin{array}{|l|} \hline G=\\  \hline 5 m^2  \\  \hline 500 dm^2  \\  \hline 5\cdot 10^{4} cm^2  \\  \hline 5\cdot 10^{6} mm^2  \\  \hline \frac{1}{20} a  \\  \hline 0,0005 ha  \\ \hline \end{array} \small \begin{array}{|l|} \hline O=\\  \hline 13 m^2  \\  \hline 1,3\cdot 10^{3} dm^2  \\  \hline 1,3\cdot 10^{5} cm^2  \\  \hline 1,3\cdot 10^{7} mm^2  \\  \hline \frac{13}{100} a  \\  \hline 0,0013 ha  \\ \hline \end{array}  \end{array}$