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Dimensions of a box (Posted on 2009-05-15) Difficulty: 2 of 5
A rectangular box with no top must have a volume of 2,500 cm3.

Three different materials will be used in the construction of this box. The bottom will be made out of material that costs 5 cents/cm2, the front and back will be made out of material that costs 4 cents/cm2, and material for the two sides costs 2 cents/cm2.

What are the dimensions of the box (with volume 2,500 cm3) that will minimize the total cost of the materials?

  Submitted by pcbouhid    
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Solution: (Hide)
x = 10, y = 20, z = 12.5. In the comments you can find solutions using calculus or not.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solutionsolution without calculusCharlie2009-05-15 14:09:30
solutionDaniel2009-05-15 13:11:18
DimensionsAndre2009-05-15 13:04:02
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