General Forum

General Forum

  1. Joined
    06 Apr '08
    Moves
    62206
    12 Oct '13 18:42
    Does anyone know which shape has the most surface area in relationship to its volume (liquids) or is it a constant?
  2. Standard memberGrampy Bobby
    Boston Lad
    USA
    Joined
    14 Jul '07
    Moves
    43012
    12 Oct '13 18:45
    Originally posted by Campaigner
    Does anyone know which shape has the most surface area in relationship to its volume (liquids) or is it a constant?
    The RHP Science Forum "Scientific discussion and debate." would seem to be the place to post your question.
  3. Dumnonia
    Joined
    16 Feb '08
    Moves
    88320
    12 Oct '13 18:53
    Originally posted by Campaigner
    Does anyone know which shape has the most surface area in relationship to its volume (liquids) or is it a constant?
    Sorry no, but I do know which poster has the greatest amounts of words relative to their content, if that is any help?
  4. In your face
    Joined
    21 Aug '04
    Moves
    55993
    12 Oct '13 19:19
    Originally posted by Campaigner
    Does anyone know which shape has the most surface area in relationship to its volume (liquids) or is it a constant?
    Polyhedron you mean? Hard one to answer. I'm not sure if you can quantify it as you can keep making them with a larger and larger surface area in comparison to volume. If you are talking about regular polyhedrons, then maybe there is some kind of formula to define this. If you are talking about irregular shapes then I think the possibilities are endless. Look at the small intestine or lung lining for example.
  5. SubscriberSuzianne
    Misfit Queen
    Isle of Misfit Toys
    Joined
    08 Aug '03
    Moves
    35774
    12 Oct '13 20:01
    Originally posted by Campaigner
    Does anyone know which shape has the most surface area in relationship to its volume (liquids) or is it a constant?
    A sphere.

    This is why liquids in weightlessness form a sphere.

    Oh, wait, you said MOST surface area.

    Sorry, the sphere has the LEAST surface area in relation to its volume.

    If I were to hazard a guess, I'd say a tetrahedron. It's possible the answer needs more vertices, though.
  6. SubscriberSuzianne
    Misfit Queen
    Isle of Misfit Toys
    Joined
    08 Aug '03
    Moves
    35774
    12 Oct '13 20:04
    Originally posted by Sicilian Sausage
    Polyhedron you mean? Hard one to answer. I'm not sure if you can quantify it as you can keep making them with a larger and larger surface area in comparison to volume. If you are talking about regular polyhedrons, then maybe there is some kind of formula to define this. If you are talking about irregular shapes then I think the possibilities are endless. Look at the small intestine or lung lining for example.
    Ooooooh, brilliant, I didn't even think of irregular surfaces.
  7. In your face
    Joined
    21 Aug '04
    Moves
    55993
    12 Oct '13 20:212 edits
    Yes a Sphere definitely has the lowest ratio and I would guess a tetrahedron would have the most as well. If n = the number of faces then as n tends to infinity then our shape would become a sphere. If you work back the other way it implies that the shape with the smallest number of possible faces would have the largest ratio i.e a tetrahedron.
    Poink.
    Or you could Google it 😀
  8. Joined
    29 Dec '08
    Moves
    6788
    13 Oct '13 06:06
    Originally posted by Campaigner
    Does anyone know which shape has the most surface area in relationship to its volume (liquids) or is it a constant?
    The answer would be a three dimensional object consisting of a surface of any shape, separated by distance d from a surface of any shape, as d approaches zero.
  9. Wat?
    Joined
    16 Aug '05
    Moves
    76863
    13 Oct '13 06:16
    Point singularity, of course!

    -m.
  10. In your face
    Joined
    21 Aug '04
    Moves
    55993
    13 Oct '13 09:43
    Originally posted by JS357
    The answer would be a three dimensional object consisting of a surface of any shape, separated by distance d from a surface of any shape, as d approaches zero.
    Ah. I thought the OP was questioning the surface area to mass ratio of different shapes as a comparison. i.e. with a set volume for example. If you introduce size then yes, the smaller any object is, so increases said ratio, as n, d, v or whatever you want tends to 0.
  11. Standard memberwolfgang59
    Mr. Wolf
    at home
    Joined
    09 Jun '07
    Moves
    45641
    15 Oct '13 22:14
    Originally posted by Campaigner
    Does anyone know which shape has the most surface area in relationship to its volume (liquids) or is it a constant?
    Yes.
    Quite a few people.
  12. Standard memberwolfgang59
    Mr. Wolf
    at home
    Joined
    09 Jun '07
    Moves
    45641
    15 Oct '13 22:15
    Google "Menger Sponge" if you want to join them.
  13. Joined
    06 Apr '08
    Moves
    62206
    15 Oct '13 22:34
    Thanks for these answers - yes I should have mentioned it is a set volume (water in this case) - if a sphere is both the most and the least doesn't that make it a constant?
  14. Joined
    06 Apr '08
    Moves
    62206
    15 Oct '13 22:38
    Brilliant! - more or less just what I was after.
Back to Top