Geometrie-Stereometrie-Pyramide

$V =\frac{1}{3} G\cdot h$
1 2 3 4
$G = \frac{3 \cdot V}{h}$
1 2
$h = \frac{3 \cdot V}{G}$
1 2 3
$O = G +M $
1 2
$G = O-M$
1 2 3
$M = O- G $
1 2
$\text{Rechteckige Pyramide}$
1 2 3 4 5 6 7 8 9 10 11
$\text{Quadratische Pyramide}$
1 2 3 4 5 6 7 8 9 10 11 12 13
Beispiel Nr: 02
$\begin{array}{l} \text{Gegeben:}\\\text{Oberfläche} \qquad O \qquad [m^{2}] \\ \\\text{Grundfläche} \qquad G \qquad [m^{2}] \\ \\ \text{Gesucht:} \\\text{Mantelfläche} \qquad M \qquad [m^{2}] \\ \\ M = O- G \\ \textbf{Gegeben:} \\ O=70m^{2} \qquad G=34m^{2} \qquad \\ \\ \textbf{Rechnung:} \\ M = O- G \\ O=70m^{2}\\ G=34m^{2}\\ M = 70m^{2}- 34m^{2} \\ M=36m^{2} \\\\\\ \small \begin{array}{|l|} \hline O=\\ \hline 70 m^2 \\ \hline 7\cdot 10^{3} dm^2 \\ \hline 7\cdot 10^{5} cm^2 \\ \hline 7\cdot 10^{7} mm^2 \\ \hline \frac{7}{10} a \\ \hline 0,007 ha \\ \hline \end{array} \small \begin{array}{|l|} \hline G=\\ \hline 34 m^2 \\ \hline 3,4\cdot 10^{3} dm^2 \\ \hline 3,4\cdot 10^{5} cm^2 \\ \hline 3,4\cdot 10^{7} mm^2 \\ \hline \frac{17}{50} a \\ \hline 0,0034 ha \\ \hline \end{array} \small \begin{array}{|l|} \hline M=\\ \hline 36 m^2 \\ \hline 3,6\cdot 10^{3} dm^2 \\ \hline 3,6\cdot 10^{5} cm^2 \\ \hline 3,6\cdot 10^{7} mm^2 \\ \hline \frac{9}{25} a \\ \hline 0,0036 ha \\ \hline \end{array} \end{array}$