Question 1054953
Excuse me for removing this, since I made some as yet unfound mistake.


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The solution should have been kept instead of removing, after rechecking.

x for length of base
y for width of base
z for height
and given z=y-1 by description, perimeter giving x+y=2,


v volume becomes  {{{v=x^3-3x^2+2x=x(2-x)(1-x)}}}
and important restrictions are {{{system(x>2,y>1,z>0)}}}.


{{{dv/dx=3x^2-6x+2=0}}} will give for length of base, {{{x=1+- sqrt(3)/3}}}, but this WILL NOT WORK.  I also suggest looking at a graph of volume v against x.  A zero at x=2 and then increase without bound to the right of x=2.