Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem C. 1347. (March 2016)

C. 1347. Is it possible to glue together some small cubes of \(\displaystyle 1~\rm cm^3\) volume such that the resulting solid is not hollow, and its volume \(\displaystyle V\) in \(\displaystyle \rm cm^3\) and surface area \(\displaystyle A\) in \(\displaystyle \rm cm^2\) satisfy \(\displaystyle V=\frac{5}{4}A\)?

(5 pont)

Deadline expired on April 11, 2016.


95 students sent a solution.
5 points:73 students.
4 points:3 students.
3 points:2 students.
2 points:1 student.
1 point:4 students.
0 point:12 students.

Problems in Mathematics of KöMaL, March 2016