Question 1197396
x, the width of the rectangle piece
x+15, length of the rectangle piece
3, HEIGHT of the box formed


The base area becomes  {{{(x+15-2*3)(x-2*3)=(x+9)(x-6)}}}.


VOLUME is  {{{highlight_green(3(x-6)(x+9)=1092)}}}.

This may be solvable through checking factoring.


{{{(x-6)(x+9)=364}}}--------try to look for two factors for 364 which differ by 15.  Worth a try!



{{{364=13*28}}}
-
{{{system(x-6=13,x+9=28)}}}---------solve either for x.