Find the surface area of the largest possible cube made out of a wooden sphere of radius 6×1.732?

or:Find the surface area of the largest possible cube made out of a wooden sphere of radius 6×1.732?or:r = radius of the sphered = 2r = diamete

or:Find the surface area of the largest possible cube made out of a wooden sphere of radius 6×1.732?


or:r = radius of the sphered = 2r = diameter of the sphere = space diagonal of the cubea = side length of the cube3a^2 = d^2a^2 = (1/3) * d^2a = d * sqrt(1/3)a = 2r * sqrt(1/3)Area of one side:a^2 = 4r^2 * (1/3)a^2 = (4/3) * r^2The cube has six sides:6a^2 = 8r^2Now, have fun with the weird specification of your radius ...

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