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

Question

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

Answer 1

small animals have a surface area/volume ratio bigger than big animals. it happens because when the size grows, the volume grows faster than the area. for animals, that means that small animals will lose heat in a faster ratio than big animals, so they need a faster metabolism to provide them with heat, and then they need to eat more then big animals (comparing the weight of food/weight of animal, not only the food, of course).

Answer 2

Stated precisely, if each of the 3 dimensions of an
object is multiplied by any factor, x, then the object's original surface area is multiplied by x
squared, its original volume by x cubed and its
original surface area to volume ratio by 1 over x.

This relationship holds regardless of the shape of
the object. The shape with the least surface area
for its volume is a sphere. To increase surface
area to volume ratio without changing volume the
shape has to be modified - flattened, stretched,
broadened, etc. This effect is geometrical, but it
is of great importance to living organisms because
so many of an organism's functions take place
through surfaces.

Answer 3

For identically shaped objects of different sizes, the surface area is proportional to the square of one of its dimensions, say the length, while the volume is proportional to the cube. So increasing the size from L1 to L2 without changing the shape decreases the area to volume ratio by the factor L1/L2.
As far as shape is concerned, 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 4

the larger surface area to volume ratio in a cell proves that it is more capable to serve the cytoplasm