Mathematical and Physical Journal
for High Schools
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Problem B. 4718. (May 2015)

B. 4718. The midpoint of edge \(\displaystyle B'C'\) of a cube \(\displaystyle ABCDA'B'C'D'\) is \(\displaystyle E\), and the midpoint of edge \(\displaystyle C'D'\) is \(\displaystyle F\). The plane \(\displaystyle AEF\) divides the cube into two parts. Find the ratio of the volumes of the two parts.

(5 pont)

Deadline expired on June 10, 2015.


Statistics:

57 students sent a solution.
5 points:Andi Gabriel Brojbeanu, Andó Angelika, Baran Zsuzsanna, Cseh Kristóf, Csépai András, Döbröntei Dávid Bence, Fekete Panna, Gáspár Attila, Glasznova Maja, Hansel Soma, Kocsis Júlia, Kosztolányi Kata, Lajkó Kálmán, Nagy Dávid Paszkál, Nagy Kartal, Nagy-György Pál, Nagy-György Zoltán, Németh 123 Balázs, Öreg Botond, Polgár Márton, Porupsánszki István, Schrettner Bálint, Schwarcz Tamás, Somogyi Pál, Szebellédi Márton, Vághy Mihály, Váli Benedek, Várkonyi Dorka, Wiandt Péter, Williams Kada.
4 points:Bereczki Zoltán, Gál Hanna, Imolay András, Molnár-Sáska Zoltán, Sal Kristóf, Szakály Marcell, Szemerédi Levente, Tóth Viktor, Vu Mai Phuong, Zolomy Kristóf.
3 points:8 students.
2 points:3 students.
1 point:4 students.
0 point:2 students.

Problems in Mathematics of KöMaL, May 2015