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Mathematics-Online problems:

Interactive Problem 229: Maximization of the Volume of a Pyramid

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
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}



Answer:

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

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


   

(From: Mathematics Contest 2012)

see also:

  automatically generated: 2/ 6/2018