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Maximize the volume of a rectangular solid, given that the sum of the areas of the six faces is $6a^2$ for a constant $a$.

So basically they tell you it's a rectangle with 6 sides. 2 sides are square, and 4 are rectangular. I thought the faces would be: $8(a \times a)$ and $(2a \times a)$

But that would give me $2a^2 + 8a^2 = 10a^2$ but they clearly say it is $6a^2$. What am I doing wrong?

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    You assumed that two sides are square, that's the problem2012-08-06
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    Where are you getting the $8$ from?2012-08-06
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    Its not my question. some other dude wrote it. I just moved it2012-08-06
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    I know the answer, but I can't post :(2012-08-06

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