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【OG20-P170-159题】
The interior of a rectangular carton is designed by a certain manufacturer to have a volume of x cubic feet and a ratio of length to width to height of 3:2:2. In terms of x, which of the following equals the height of the carton, in feet?
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题目:某生产商设计了一个矩形纸箱,其长、宽、高的比例为3:2:2,体积为x立方英尺,问用x表示纸箱的高是多少?
解:假设纸箱的高为h,则由长宽高比例可得长和宽分别为3h/2和h。则x=(3h/2)*h*h=3h3/2. 因此h=(2x/3)开立方根,答案为B
题目讨论 (2条评论)

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480243ongx
因为L:W:H=3:2:2,所以可以得出W=H,L=3/2H,容积:X=L*W*H=(3/2H)*H*H,推出X=3/2*H^3, 解这个等式得出H=三次根号下2/3X.
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0 回复 2022-08-22 14:51:10
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emily666
OG的数学解释最好不看,推的太慢了
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0 回复 2020-06-02 12:00:07