Geometrie-Stereometrie-Prisma

$V = G\cdot h$
1 2
$G = \frac{V}{h}$
1 2
$h = \frac{V}{G}$
1 2
$O = 2\cdot G +M $
1 2 3
$G = \frac{O-M}{2}$
1 2
$M = O- 2\cdot G $
1 2 3
Beispiel Nr: 01
$\begin{array}{l} \text{Gegeben:}\\\text{Oberfläche} \qquad O \qquad [m^{2}] \\ \\\text{Mantelfläche} \qquad M \qquad [m^{2}] \\ \\ \text{Gesucht:} \\\text{Grundfläche} \qquad G \qquad [m^{2}] \\ \\ G = \frac{O-M}{2}\\ \textbf{Gegeben:} \\ O=50m^{2} \qquad M=6m^{2} \qquad \\ \\ \textbf{Rechnung:} \\ G = \frac{O-M}{2} \\ M=6m^{2}\\ O=50m^{2}\\ G = \frac{50m^{2}-6m^{2}}{2}\\\ G=22m^{2} \\\\\\ \small \begin{array}{|l|} \hline O=\\ \hline 50 m^2 \\ \hline 5\cdot 10^{3} dm^2 \\ \hline 5\cdot 10^{5} cm^2 \\ \hline 5\cdot 10^{7} mm^2 \\ \hline \frac{1}{2} a \\ \hline 0,005 ha \\ \hline \end{array} \small \begin{array}{|l|} \hline M=\\ \hline 6 m^2 \\ \hline 600 dm^2 \\ \hline 6\cdot 10^{4} cm^2 \\ \hline 6\cdot 10^{6} mm^2 \\ \hline \frac{3}{50} a \\ \hline 0,0006 ha \\ \hline \end{array} \small \begin{array}{|l|} \hline G=\\ \hline 22 m^2 \\ \hline 2,2\cdot 10^{3} dm^2 \\ \hline 2,2\cdot 10^{5} cm^2 \\ \hline 2,2\cdot 10^{7} mm^2 \\ \hline \frac{11}{50} a \\ \hline 0,0022 ha \\ \hline \end{array} \end{array}$