Find a general solution for the lengths of the sides of the rectangular parallelepiped with the
largest volume that can be inscribed in the following ellipsoid

Find a general solution for the lengths of the sides of the rectangular parallelepiped with the
largest volume that can be inscribed in the ellipsoid defined by $x^2/a^2 + y^2/b^2 + z^2/c^2 = 1$, where a, b, and c are positive real constants. Definitions: A parallelepiped is a three dimensional object with 6 sides, all of which are parallelograms; inscribed means that the boundaries touch but do not cross.

Answer

Answers can be viewed only if
  1. The questioner was satisfied and accepted the answer, or
  2. The answer was disputed, but the judge evaluated it as 100% correct.
View the answer

1 Attachment

Kav10 Kav10
1.4K
The answer is accepted.
Join Matchmaticians Affiliate Marketing Program to earn up to 50% commission on every question your affiliated users ask or answer.