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.
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.
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