increases:
by approximately the square of the cube root of the volume increase
(that would be exact if the cell was a sphere).
Or, in other words,
if you double the size (diameter) of a cell.
its surface area increases by a factor of 4,
and it volume increases by a factor of 8.
As a cell increases in size the volume increases much faster than the surface area. The possible answer is C.
The cell's ratio of surface area to volume would decrease if its volume increases more rapidly than its surface area.
As cell volume increases, the ratio of cell surface area to cell volume decreases. This is because the surface area increases by a square factor while the volume increases by a cube factor. A higher surface area to volume ratio is more favorable for efficient nutrient exchange and waste removal in cells.
Yes, as cell surface area increases, the cell volume increases at a faster rate. This is because the surface area to volume ratio decreases as the cell grows larger, which can affect the efficiency of nutrient uptake and waste removal within the cell.
As the volume of a cell increases, the surface area of the cell also increases, but at a slower rate. This can lead to a decrease in the surface area-to-volume ratio of the cell. A decreased surface area-to-volume ratio can impact the cell's ability to efficiently exchange materials with its environment, potentially affecting its overall functioning.
It decreases. As the dimensions increase by a number, the surface area increases by the same number to the power of 2, but the volume increases by the same number to the power of 3, meaning that the volume increases faster than the surface area.
As a cell grows larger, its volume increases faster than its surface area, leading to a decrease in the surface area-to-volume ratio. This can limit the cell's ability to efficiently exchange materials with its environment, affecting its overall functioning.
The Volume increases faster than the Surface Area
As volume increases surface area increase, but the higher the volume the less surface area in the ratio. For example. A cube 1mmx1mmx1mm has volume of 1mm3 surface area of 6mm2 which is a ration of 1:6 and a cube of 2mmx2mmx2mm has a volume of 8mm3 and surface area of 24mm2 which is a ratio of 1:3.
The volume of a cell grows more rapidly than its surface area. This is because volume increases with the cube of the cell's size, while surface area increases with the square of the cell's size. This has implications for processes like nutrient exchange, as a larger cell may struggle to adequately supply its interior with nutrients and remove waste.
The ratio decreases.
The ratio decreases.