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Foshan Moore mathematics liberal arts
(1) from the meaning of the question, 20? AD20=x30,∴AD=20? 23x(? 2? Integral)

∴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).