Question

how to solve this.. a box is to be made from a sheet of tin 12 inches^2 by cutting equal squares from the four corners in turning up the side. Find the length of the side of the square to be cut out in order to obtain a box of the longest possible volume.

Answer 1

ah typical optimization problem :)
do we know the dimensions of sheet?

Answer 2

then volume would be
\[V = (L-2x)*(W-2x)*x\]