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February 1, 2015

Posted by **kwack** on Tuesday, September 7, 2010 at 3:13am.

Volume = cubic centimeters.

- calculus -
**drwls**, Tuesday, September 7, 2010 at 8:26amLet x = side width and y = height.

Area = x^2 + 4xy = 2100

y = (2100 -x^2)/(4x) = (525/x) - (x/4)

Volume = y*x^2 = 525x -(x^3/4)

dV/dx = 0 = 525 - (3/4)x^2

x = sqrt 733.3 = 26.45 cm

y = 13.24 cm

max volume = 14,410 cm^3

- calculus -
**kwack**, Tuesday, September 7, 2010 at 5:54pmi got it wrong

- calculus -
**drwls**, Tuesday, September 7, 2010 at 11:54pmYou did or I did?

You need to specify if all material gets used. If not, and you are just cutting square corners off the original piece, folding up tabs and throwing away the squares, then you need to say if the original material is a square or not.

- calculus -
**drwls**, Wednesday, September 8, 2010 at 1:01amThere are a few math errors in my answer.

x = sqrt700 = 26.45 cm

y = 525/x -x/4 = 13.24 cm

max volume = y*x^2 = 9263 cm^3

- calculus -
**HELLLLLPPPPP**, Wednesday, September 8, 2010 at 1:39amTHANK YOU

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