Blechkiste

21_22_A/6MT19c_pr3_Extreme/Pruefung.tex

@@ -37,6 +37,9 @@
 \input{P_TALS/stereo/extremwerte/RechteckUnterParabel_v1}%
 
 %% Aufgabe Zündholzschachtel S. 174 (Geom.-Buch) Aufg. 235
+
+
+\input{P_TALS/stereo/extremwerte/Blechkiste_v1}
 % Aber vereinfachen (Schachtel ohne Deckel) sodass nicht zwei Größen
 % gesucht werden. oder 232
 \end{document}%%

aufgaben/P_TALS/stereo/extremwerte/Blechkiste_v1.tex

@@ -0,0 +1,20 @@
+\begin{frage}[4]%% Anzahl Punkte für diese Aufgabe
+  Gegeben ist ein rechteckiges Blechstück mit den Seiten $a=4cm$ und $b=3cm$
+  (siehe Grafik links).
+
+  \bbwCenterGraphic{10cm}{P_TALS/stereo/extremwerte/img/Blechkiste.png}
+
+  Dazu werden an den vier Ecken je ein kleines Quadrat mit der Seitenlänge
+  $h$ ausgeschnitten (Grafik rechts); so, dass ein Rechteck als
+  Grundfläche $G$ bleibt. Nun werden die vier Seiten
+  hochgeklappt, sodass eine quaderförmige Kiste entsteht.
+
+  Berechnen Sie $h$ so, dass das entstehende Volumen der Kiste maximal
+  wird.
+
+  (Angabe in cm auf 4 sig. Stellen)
+  
+$$h = \LoesungsRaumLang{} \textrm{ cm}$$
+
+  \platzFuerBerechnungen{4}%%
+\end{frage} 

aufgaben/P_TALS/stereo/extremwerte/img_src/Blechkiste.svg

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