Question 856837
The square base makes this a simpler problem than if no side were square.


x = side of base edge
y = height


AREA ACCOUNTING FOR 1700 SQUARE CM
The base area is {{{x^2}}}; and there are FOUR surfaces of {{{xy}}} {{{cm^2}}}, so {{{4xy}}} {{{cm^2}}}.
Altogether, the area equation is {{{highlight_green(4xy+x^2=1700)}}}.


VOLUME FORMULA
v for volume, {{{highlight_green(v=(x^2)y)}}}.


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Can you understand that analysis?
Can you continue from there yourself?
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After almost completing the solution myself, the problem question is either for College Algebra or for first semester of Calculus.  If for College Algebra, you might use a graphing calculator to find the maximum point.  If Calculus, then you would differentiate v against x, solve for x if the derivative is zero, and that will be the x value for maximum volume, v.  The process should bring you to {{{(d/(dx))v=425-(3/4)x^2=0}}}.