Question 1050782
Draw the net and label all of the parts.

Length, L
Width , w
1 inch square removed at each corner;
Dimensions for the base formed when flaps folded up, (L-2*1) and (w-2*1).
1, ALSO the "height" of the box.


What else is given?
{{{highlight(L=w+5)}}}.


Equation showing volume:
{{{1*(L-2)(w-2)=644}}}
{{{(L-2)(w-2)=644}}}
Substitution for L:
{{{(w+5-2)(w-2)=644}}}
{{{highlight((w+3)(w-2)=644)}}}


The rest is arithmetic of Intermediate Algebra level quadratic equation skills.  The longer part, for some people, is to do the analysis leading to the quadratic equation to be solved.