Use Lagrange multipliers to find the dimensions of a rectangular box of maximum volume such that the sum of the lengths of its 12 edges is a constant c.

- Feb 23rd 2010, 05:23 PMsammygirl2791Use Lagrange multipliers to find the dimensions of a rectangular box
Use Lagrange multipliers to find the dimensions of a rectangular box of maximum volume such that the sum of the lengths of its 12 edges is a constant c.

- Feb 23rd 2010, 05:28 PMicemanfan
So you want to maximize with the constraint that .

Now use