There are #77# rightangled blocks of dimensions #3xx3xx1#. Is it possible to place all these blocks in a closed rectangular block of dimensions #7xx9xx11#?
1 Answer
Nov 11, 2016
No.
Explanation:
Call a
Consider a
Each

Not at all. In which case it contributes
#0# cells. 
Edgewise. In which case it contributes
#3# cells. 
Full. In which case it contributes
#9# cells.
In any of these three cases, the number of cells in the slice contributed by each
In order to fill the slice, we need