Here is an interesting problem from Week May 15 (2017) from https://brilliant.org/ 
https://brilliant.org/weekly-problems/2017-05-15/basic/?p=5
[Answer: It is possible.]
My daughter and I worked on this problem and discovered a few interesting things.
[As background: If you are unfamiliar with nets for a cube, you might want to visit http://mathforum.org/library/drmath/view/54682.html ]
Our solution is below.
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