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Q: What is the relationship between cube size and surface area-to-volume ratio?

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As the surface to volume ratio increases the rate of in exchange increases too.

The higher the ratio, the faster the rate of diffusion

The larger the surface area to volume ratio of a cell, the smaller its size (and vice versa).

The relationship between the radius and surface area depends on the shape and that is why some cells are spherical while others are flattened. The greater the SAV ratio of an object, the greater the scope for surface reactions of the object with its surroundings.

The surface-area-to-volume-ratio

The surface-to-volume ratio is a mathematical relationship between the volume of an object and the amount of surface area it has. This ratio often plays an important role in biological structures. An increase in the radius will increase the surface area by a power of two, but increase the volume by a power of three.

A ratio shows the relationship between two quantities.Formula

Ratio

The relationship between the percent volume (not reached by the stain) and the surface area-to-volume ratio would be that the bigger the agar cube size (surface area to volume ratio), the bigger the percent volume. This is true because resources need to travel a farther distance through the cell ("cover more ground", so to speak) in order to be evenly distributed through the cell.

A cell is roughly spherical in shape and the relationship between surface area and volume is therefore expressed by:-The volume of a sphere of radius R is (4/3)*Pi*R3.The surface area of a sphere of radius R is 4*Pi*R2The surface area to volume ratio is therefore 3/RAs the radius R gets bigger the ratio gets smaller.

If the lengths are in the ratio 3:5, then the surface areas are in the ratio 9:25.

Volume varies as the 1.5th power of the surface area of regular solids. With other well behave solids, this relationship applies as long as all three dimensions change in the same ratio - that is, the shapes are similar.

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