∴SABCD=AB? AD=x(20-23x)(? 4? Integral)
The warehouse area is not less than 144 square meters.
∴x(20-23x)≥ 144
∴ 12≤x≤ 18(? 6 points)
(2) From the meaning of the question, V storage capacity = x2 (20? 23x)=9? 13x? 13x(20? 23x)≤9? ( 13x+ 13x+20? 2x33)3=80003,
If and only if 13x = 20? 2x3, that is, when x=20 (m), the maximum V is 80003 (m3) (12 minutes).