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we want to make a rectangular box which measures 9cm between its diagonal corners. What is the largest possible volume of such a box?

we want to make a rectangular box which measures 9cm between its diagonal corners. What is the largest possible volume of such a box? (Multivariable calculus class)

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 8 1 √ ​... View the full answer

2 comments
  • How do you go from the multipliers to all the variables being equal to each other?
    • bellaschmidt
    • Jun 03, 2018 at 5:39pm
  • 1) By symmetry, you can see that x=y=z will satisfy the multipliers. 2) Take λ from one of the 3 equations and substitute it into the constraint and the other two equations. You can show that x = y = z
    • TanujMathur
    • Jun 03, 2018 at 5:43pm

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