They grow
A small cell will have a larger surface-to-volume ratio.
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.
Cell have a greater surface area to volume rations than a larger cell.
depends on the shape... if its a sphere or a prism or what. You'll get different answers because they have different surface area to volume ratios. Sphere will give you the biggest volume for a given surface area.
As a cell becomes larger the surface area to volume ratio gets smaller. The volume increases by the square of the surface area. That is the main reason that one celled organisms are small.
they have a greater surface-to-volume ratio
A small cell will have a larger surface-to-volume ratio.
The Volume increases faster than the Surface Area
The surface area to volume ratio will increase
The surface area of mitochondria or chloroplast affect its energy output because larger surfaces-to-volume ratio imply more loss of energy as opposed to smaller surface-to-volume ratios.
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.
For a cube with edge length, L. Surface area = 6L2. Volume = L3. So ratio of Surface Area / Volume = 6 / L. Therefore, as the side length, L, increases, the ratio will decrease.
As the cell grows larger the ratio of surface area to volume increases. Larger cell = more volume for the amount surface area.
When cells get smaller, the volume (as well as mass) decreases faster than the surface area so the surface:volume increases. Cells with a high surface:volume are more effective in receiving nutrients through diffusion. A cell (assume perfect sphere) with radius 2 has a surface area of 16pi and volume of 32pi/3. A cell with radius 3 has a surface area of 36pi and volume of 108pi/3. Also relatively speaking, volume can be thought of as y=x3 and surface area as y=x2. When there is a change in x, the change is more dramatic in the volume, so small cells have high ratios and large cells have low ratios.
really.. the answer is that the volume also gets larger
Cell have a greater surface area to volume rations than a larger cell.
The important point is that the surface area to the volume ratio gets smaller as the cell gets larger.Thus, if the cell grows beyond a certain limit, not enough material will be able to cross the membranefast 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.