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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
3
$G = \frac{O-M}{2}$
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2
$M = O- 2\cdot G $
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Beispiel Nr: 02
$\begin{array}{l}
\text{Gegeben:}\\\text{Körperhöhe} \qquad h \qquad [m] \\
\text{Volumen} \qquad V \qquad [m^{3}] \\
\\ \text{Gesucht:} \\\text{Grundfläche} \qquad G \qquad [m^{2}] \\
\\ G = \frac{V}{h}\\ \textbf{Gegeben:} \\ h=6m \qquad V=5m^{3} \qquad \\ \\ \textbf{Rechnung:} \\
G = \frac{V}{h} \\
h=6m\\
V=5m^{3}\\
G = \frac{5m^{3}}{6m}\\\\G=\frac{5}{6}m^{2}
\\\\\\ \small \begin{array}{|l|} \hline h=\\ \hline 6 m \\ \hline 60 dm \\ \hline 600 cm \\ \hline 6\cdot 10^{3} mm \\ \hline 6\cdot 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline V=\\ \hline 5 m^3 \\ \hline 5\cdot 10^{3} dm^3 \\ \hline 5\cdot 10^{6} cm^3 \\ \hline 5\cdot 10^{9} mm^3 \\ \hline 5\cdot 10^{3} l \\ \hline 50 hl \\ \hline \end{array} \small \begin{array}{|l|} \hline G=\\ \hline \frac{5}{6} m^2 \\ \hline 83\frac{1}{3} dm^2 \\ \hline 8333\frac{1}{3} cm^2 \\ \hline 833333\frac{1}{3} mm^2 \\ \hline \frac{1}{120} a \\ \hline 8,33\cdot 10^{-5} ha \\ \hline \end{array} \end{array}$