Question 882755
x, width
x+2, length
-
2 unit square removed from each corner;
flaps then turned to meet forming box.


Base surface, {{{(x-2*2)((x+2)-2*2)}}}, be sure this line makes sense;
{{{(x-4)(x-2)}}}
{{{x^2-6x+8}}}


Height of this box is 2 units, so volume is {{{2(x^2-6x+8)}}};


The volume was given as 70 cubic units, so {{{highlight_green(2x^2-12x+16=70)}}}.
Simplifyable to {{{x^2-6x+8=35}}}, and then
{{{x^2-6x+8-35=0}}}
{{{highlight_green(x^2-6x-27=0)}}}----this is FACTORABLE!


Factor the expression, pick the right (sensible) value for x, then compute x+2.  Once all this, solution done.