goring
Lv 6
goring asked in Science & MathematicsPhysics · 7 months ago

Does the earth have a transform for calculating its volume and becomes a cube.?

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  • 7 months ago
    Best 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.

    • Andrew Smith
      Lv 7
      6 months agoReport

      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.

  • oubaas
    Lv 7
    6 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

  • 7 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.

  • Anonymous
    7 months ago

    There is no earth. It's fake.

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  • 7 months ago

    The earth is not intelligent and not capable of calculating anything.

  • Anonymous
    7 months ago

    Sphere and cube.

  • Anonymous
    7 months ago

    earth is flat not a cube

    • goring
      Lv 6
      7 months agoReport

      The flatness of the earth is measured by its curvature or its area to volume ratio.which has the same form in a cube

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