Area is proportional to a linear dimension squared, whereas volume is proportional to the linear dimension cubed. Thus, as a cell (or any object) increases in size, its volume grows proportionately more than its surface area.
The surface area increases by the square of the dimensions and the volume increases by the cube. Eventually the surface area will not have the correct ratio to take care of the insides and that is why we have multi-celled organisms
The Volume increases faster than the Surface Area
Not necessarily just changing the surface area causes the rate to change. Changing the ratio of surface area volume changes the rate at which a solute dissolves in a solvent. If the surface area is larger and the volume of a solute is smaller or the same, then the rate at which the solute dissolves in a solvent increases. If the surface area is smaller and the volume of the solute is larger or the same, then the rate at which the solute dissolves in a solvent decreases.
They both increase with increasing cell radius (if we model a cell as a sphere). However, the rate of increase of the surface area is in general slower (dA/dr = 8πr) compared to the rate of increase of the volume (dV/dr = 4πr2). This would mean that with increasing cell size, the surface area to volume ratio is becoming smaller and smaller, giving a cell less surface area for the transport of nutrients for a given unit volume.
Volume
The increase in surface area of reactants increases the contact between reacting molecules, atoms or ions so the rate of reaction becomes increased.
The Volume increases faster than the Surface Area
The cell's ratio of surface area to volume would decrease if its volume increases more rapidly than its 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 ratio decreases.
The ratio decreases.
The surface area decreases. your a lier dude
it callapses
it decreases
It increases.
As a cell increases in size the volume increases much faster than the surface area. The possible answer is C.
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.
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.