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May 19th, 2010, 03:39 PM   #1
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Maxima

Calculate the maximum volume of a cuboid with a surface area of

Attempt:

The volume is xyz

The surface area is 2xy + 2yz + 2xz = 10

So I take the surface area as a constraint. Using Lagrange multiplier method, we get:






so we get x=y=z and then we get meaning

am I right?
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May 19th, 2010, 04:52 PM   #2
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Re: Maxima

This looks pretty solid to me.
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May 20th, 2010, 12:37 AM   #3
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Re: Maxima

Thank you!
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