f.1功課

2007-03-22 7:06 am
http://img265.imageshack.us/img265/1959/12222xv3.png

圖中所示為一根棱柱形的鋼管,其中所有的量度值皆準確至最接近的mm。求製造所需的鋼材體積的最大值和最小值。

回答 (1)

2007-03-22 8:01 am
✔ 最佳答案
External dimension = 12mm x 12mm x 265mm
Internal dimension = 10mm x 10mm x 265mm

Maximum volume
= (12+0.5)x(12+0.5)x(265+0.5) - (10-0.5)x(10-0.5)x(265+0.5)
= 41484.375 - 23961.375
= 17523 mm^3

Minimum volume
= (12-0.5)x(12-0.5)x(265-0.5) - (10+0.5)x(10+0.5)x(265-0.5)
= 34980.125 - 29161.125
= 5819 mm^3


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