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- Andrew SmithLv 710 months agoFavorite Answer
The volume of a sphere is 4/3 pi() r^3

and the volume of a cube is L^3

so to transform a sphere into a cube of the same volume you have

4/3 pi() r^3 = L^3

(4/3 pi()) ^ (1/3) * r = L

or r = L/ ( 4/3 pi() )^(1/3)

(4/3 pi() )^(1/3) ~= 1.396

So as a cube 1.306 r = L

or r = L / 1.396

So there are some things you may notice. The cube has a lower distance across than a sphere of the same volume which means that you can pack more cubic boxes in a space than spheres.

If you calculate the surface area / volume for each the sphere has the lowest surface area/ volume. This makes a sphere the most efficient shape for resisting pressures.

Including gravitational pressure. So mountains wear down to gradually approach a smooth spherical shape.

- oubaasLv 710 months ago
Vs = 4*PI/(3*8)*d^3 = PI/6*d^3 = 0.52360*d^3

Lc = d*³√0.52360 = d*0,80600

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- az_lenderLv 710 months ago
The volume of the earth is around 260 billion cubic miles. So if it were a cube, each edge would be around 6400 miles. But it would adjust itself to a spherical shape as the corners would quickly "fall down" to be closer to the center of mass.

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- Anonymous10 months ago
There is no earth. It's fake.

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- billrussell42Lv 710 months ago
The earth is not intelligent and not capable of calculating anything.

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- Anonymous10 months ago
Sphere and cube.

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The only part that is wrong is the calculation of (4/3 pi())^(1/3) I don't know what I pressed but I did it again to get 1.611992 However I did give the full statement immediately above it. ie (4/3 *pi())^ (1/3) is the correct figure.