The relationship is usually expressed as a ratio: surface area divided by volume. Small cells have a large surface area to volume ratio, whilst large cells have a much smaller value. This is important because the cell absorbs the things it needs, and gets rid of what it doesn't need, through the surface. If the cell gets too large, not enough exchange can take place to keep the cell going, so there is a natural limit on the size to which a cell can grow.
cell membrane
The relationship is usually expressed as a ratio: surface area divided by volume. Small cells have a large surface area to volume ratio, whilst large cells have a much smaller value. This is important because the cell absorbs the things it needs, and gets rid of what it doesn't need, through the surface. If the cell gets too large, not enough exchange can take place to keep the cell going, so there is a natural limit on the size to which a cell can grow.
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.
surface area/ volume. wider range of surface area to volume is better for cells.
if the cell grows beyond a certain limit, not enough material will be able to cross the membrane fast enough to accommodate the increased cellular volume. When this happens, the cell must divide into smaller cells with favorable surface area/volume ratios, or cease to function. That is why cells are so small. That may be the effect but the question as worded is purely arithmetical. Surface area is proportional to the square of the linear dimensions; volume to the cube.
surface area/ volume. wider range of surface area to volume is better for cells.
Organisms need to have a high surface area to volume ratio to efficiently deliver nutrients. This allows for more surface area through which nutrients can be absorbed, reducing the distance that nutrients need to travel to reach cells inside the organism. This helps to maintain a balance between the intake of nutrients and the needs of the organism for growth and function.
Remember that as the diameter of a spherical cell increases, the surface area increases as the square of the diameter, and the volume increases as the cube of the diameter, so volume increases much faster than surface area. The same principle applies for other shapes than spherical cells, but the math is more complicated.
Cells are dependent on the ration between surface area and volume. as the cels get bigger the ratio decreases, meaning that the volume gets larger faster than does the surface area. they cant survive past a certain point, because the nutrients that permeate the membrane have a harder time diffusing throughout a larger volume with a comparatively smaller surface area. this is why cells divide: the volume splits in half, but the surface area stays the same.
You need to:* Calculate the surface area * Calculate the volume * Divide the surface area by the volume
Cells are of a small size because of consideration of the proportional relationship between surface area and volume. The size of cells also becomes a benefit when considering the rate at which cells die and are being replaced.
Cell have a greater surface area to volume rations than a larger cell.