Question 906757
Your question is posted two times.  For now, I am responding to this one but not the previous one.   Watch the units carefully.  Decide if you want to work in inches or centimeters.  You might want to try solving purely in symbolic form and then take care of the units as part of the substitution solving stage.


If x is the length of the side of the square to cut from each corner, and if you want u and v to be "length" and "width" of the original rectangle, then the VOLUME may be represented as {{{x(u-2x)(v-2x)}}}; and maybe converting the given 1000 cubic inches into its equivalent cubic centimeters may be more comfortable, and you can expect that x will be in centimeters.


CORRECTED INFORMATION PROVIDED----- 1000 cubic centimeters, NOT inches


That helps.  Here is how to start:


The base dimensions will be {{{22-2x}}} and {{{30-2x}}}.
Area of the base:  {{{(22-2x)(30-2x)}}}
VOLUME of the box:  {{{highlight_green(x(22-2x)(30-2x)=1000)}}}.


Simplify the volume equation and ... solve for x.  There maybe be "three" solutions but you may need to choose the SENSIBLE solution.


The steps done separately on paper yielded {{{highlight(x^3-26x^2+165x-250=0)}}}; not the finished answer, but an important step in that direction.