Quadratic Box Question

What is the maximum volume possible from a piece of cardboard that is made into a cube, that measures 16 inches by 12 inches?

[___________ ]
[ __________ ]
[___________ ] 12 - 2x
[____________]
16in - 2x

• A Box with no top.

this is where I got stuck.

Thank you

Quote:

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Originally Posted by The D00D

Note: One with x#'s, are exponents, since I don't know to do an exponent on here

Thank you

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Use ^ (it's <shift>6 on most keyboards) so x^2 becomes .

Thank you for that.

Okay so I've been looking at this question and I'm not sure I understand what it's asking, so I'm not sure how you got your initial equations.

But given your starting equations, I rather think you'll find that in your first step, 12 x 16 is a little bit more than 172.

Your end equation should be something like


Your quadratic in the brackets factorises easily.