"What is the relationship between the shape of an organism and its surface area to volume ratio???"?

Question

Thank about the Info. on size...
I would like to know of shape...

Curiosity...

Answer 1

This question, on its own, is not inherently about organisms but about geometry. A sphere is a 3D object with a minimum surface area to volume ration as Kirchwey said. Consider also the surface areas of various boxes with the same volume



10x10x10 vs. 1x1x1000



Each will have a volume of 1000 cubic units. The first will have a surface area of 600 square units and the second will have a surface area of 4002 square units.



In the case of an amoeba with multiple folds and pseudopods (concave and convex areas) and the surface area increases yet further without affecting the volume.

Answer 2

The first answer misstated the case. A sphere has the minimum ratio of area to volume. The more complex the shape, and the more concavities on its surface, the higher the ratio becomes.

Answer 3

suggested precisely, if all of the three dimensions of an merchandise is elevated via any element, x, then the item's unique floor section is elevated via x squared, its unique volume via x cubed and its unique floor section to volume ratio via a million over x. This courting holds regardless of the form of the item. the form with the least floor section for its volume is a sphere. to improve floor section to volume ratio without changing volume the form must be changed - flattened, stretched, broadened, etc. This consequence is geometrical, even nonetheless it fairly is of great importance to residing organisms because of the fact lots of of an organism's purposes ensue through surfaces.

Answer 4

Take a single cell structure like the amoeba. It is basically almost spherical in shape. This will increase it's surface to volume ratio and therefore allow it to maximise the absorption of nutrients from its surroundings.