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Is the surface-area-to-volume ratio of a small cell less than that of a larger cell?
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.
What is the relationship between the surface area to volume ratio of a cell and its size?
The larger the surface area to volume ratio of a cell, the smaller its size (and vice versa).
What is the relationship between the length of a side and the surface area-to-volume ratio of a cell?
As size increases, the s/v ratio decreases-- the s/v ratio of a cubic cell 1mm on a side is 6, but the s/v ratio of a cubic cell 3mm on a side is only 2.
Which cell has the greater surface area compared to its volume the large cell or one of the smaller cells?
A smaller cell has a higher surface area to volume ratio. A reason for this is volume is cubic (3D) and surface area is 2D so when surface area increases a little bit, the volume increases exponentially. And when the surface area shrinks a little bit, the volume decreases exponentially.
How will surface area to volume ratios of a small cell compare to those of a large cell?
A small cell will have a larger surface-to-volume ratio.
