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Mathematics-Online problems:

Problem of the week

From a square piece of cardboard with an edge length of $ 10\ \mathrm{cm}$ a square pyramid should be made as is illustrated in the figure.

\includegraphics[width=.3\linewidth]{TdM_12_A2_bild1}              \includegraphics[width=.4\linewidth]{TdM_12_A2_bild2}


$ a = $      cm  
$ h = $      cm  
$ V_{\max} = $      cm$ ^{3}$  
$ S = $      cm$ ^{2}$  

(The results should be correct to four decimal places.)


[solution to the problem of the previous week]