math

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

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asked by Asia
  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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