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Topic: largest cube inside sphere
Replies: 6   Last Post: Feb 16, 2006 4:27 PM

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Posts: 116
Registered: 1/25/05
Re: largest cube inside sphere
Posted: Feb 11, 2006 4:39 PM
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> ?? sphere is not a circle and a cube is not a square!
> It is true that the largest SQUARE that can be inscribed in a CIRCLE has side of length sqrt[1/2]D where D is the diameter of the circle but the largest CUBE that can be inscribed in a SPHERE has side of length sqrt[1/3]D where D is the diameter of the sphere, as I said before.

Whoa, you are right and I was wrong.
The diameter of the sphere should have been the diagonal of the cube.
(diameter)^2 = (s^2 +s^2) +s^2
(diameter)^2 = 3s^2
s = sqrt[(1/3)(diameter)^2] = sqrt(1/3) *(diameter).

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