Question 1078700
Original dimensions of cardboard before corners cut, x and y.
u, the edge length of square to cut from each corner; also u becomes the height of the box.


Base dimensions already give, 55 and 30.


{{{55*30*u=3150}}}, using given volume.
{{{u=21/11=1&10/11}}}



Two of u is cut on each cardboard dimension.
{{{x-2u=55}}}
{{{x=55+2u}}}
{{{x=55+2(21/11)}}}
{{{x=58&9/11}}}
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{{{y=2(21/11)+30}}}
{{{y=33&9/11}}}
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{{{highlight(system(x=58.82*cm,y=33.82*cm))}}}