# math

find the dimentions of a bose of largest area that can be inscribed in a sphere of radius 1

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1. I will assume you meant:
"largest volume"

Obviously the "bose" must be a cube.
Sketch a cross-section

I see a square in a circle, with a diameter of 2.
let each side of the cube be x
then x^2 + x^2 = 2^2
2x^2 = 4
x^2 = 2
x = √2

The "bose" is √2 on all sides

btw, it is dimensions, not "dimentions"

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posted by Reiny

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