Mathematical and Physical Journal
for High Schools
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Problem C. 1356. (April 2016)

C. 1356. In a cube \(\displaystyle ABCDEFGH\) let \(\displaystyle K\), \(\displaystyle L\) and \(\displaystyle M\) denote the midpoints of edges \(\displaystyle AB\), \(\displaystyle CG\) and \(\displaystyle EH\), respectively. What is the ratio of the volume of the tetrahedron \(\displaystyle FKLM\) to the volume of the cube?

(5 pont)

Deadline expired on May 10, 2016.


Statistics:

28 students sent a solution.
5 points:Antal Márton, Csapó Márton, Csorba Benjámin, Horváth András János, Kocsis Júlia, Kormányos Hanna Rebeka, Kósa Szilárd, Matusek Márton, Nagy 911 Viktória, Ondrik Ákos, Simon Ákos, Sudár Ákos, Szabó Alexandra, Tatai Mihály.
4 points:Bőzsöny András, Fülöp Ágota, Kasó Ferenc, Kiss Vivien Mercédesz, Kovács Iván, Lévay Mátyás, Perger Kitti, Szajkó Gréta, Török Réka .
3 points:4 students.
2 points:1 student.

Problems in Mathematics of KöMaL, April 2016