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A box with a square base and open top must have a volume of 32,000 cm^3. Find the dimentions of the box that minimize the amount of material used.

How to find this? Steps?

2007-04-29 10:09:45 · 4 answers · asked by Dan 1 in Science & Mathematics Mathematics

4 answers

A box that is 20cm x 20cm (square base) and 80cm tall will have this volume.

Also, one that is 40cm x 40 cm x 20cm tall...

Just a couple of sizes..

2007-04-29 10:19:16 · answer #1 · answered by Anonymous · 0 0

40x40x20 would also work.

There are unlimited dimensions that fit the criteria if one chooses to use the set of rational numbers along with integers.
.

2007-04-29 17:21:32 · answer #2 · answered by Robert L 7 · 0 0

I would say each dimension would be one side of a cube.
L=W,W=H,H=L the answer being 3X (20( cubert 4))

2007-04-29 17:33:15 · answer #3 · answered by lahomaokie 2 · 0 0

20x20x80 the work is done in my head I have never shown method just answers

2007-04-29 17:15:15 · answer #4 · answered by rick r 4 · 0 0

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