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Mathematics-Online problems:

Interactive Problem 859: Tetrahedron Inscribed in a Unit Cube


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

The figure shows a tetrahedron formed of four vertices of the unit cube.

\includegraphics[width=8cm]{TdM_05_A1_bild1.eps}


Answer:

Number of the tetrahedra:  
Number of the different types:  
Possible volumes: $ \ <\ $  

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


   

(From: Day of Mathematics 2005)

see also:


  automatically generated: 8/11/2017