1. what happens to the ratio of surface area to volume as the cell size increases without the cell changing shape 2. what does a surface area/volume ratio of 6: 1 mean for the cells ability to get the materials it needs that move across its surface 3. what does a surface area/volume ratio of 3: 1 mean for a cells ability to get materials across its membrane compared to the cell with the ratio of 6: 1

The answers are as follows:
1. As the size of a cell increases, THE RATIO OF SURFACE AREA TO VOLUME OF THE CELL DECREASES.
A small cell has a large surface area to volume ratio but as this cell increases in size, the ratio begin to decrease until it gets to a point where the cell just has to undergo binary fission in order to increase its surface area to volume ratio. 
2. A surface area to volume ratio [SA:V] of 6:1 mean that the cell has a large surface area to volume ratio. This ratio is very important because the survival of the cell depends on it. A cell usually carry out its life maintaining activities through diffusion. If the SA:V ratio is small, the efficiency of diffusion will be low and the cell needs will not be properly met. But if the SA:V ratio is high, the efficiency of the diffusion process will be high and the cell will have all its needs met easily.
3. A surface area to volume ratio of 3:1 is low compared to that of 6:1. A cell will a surface area to volume ratio of 3:1 will have low diffusion rate, this means that the necessary particles that needs to enter the cell and those that need to leave the cell will not be able to diffuse across the cell membrane efficiently and this will cause disruption of activities to occur inside the cell. The SA:V ratio of 6:1 is ideal and it allows for efficient diffusion of particles in and out of the cell.

C14 dating since carbon is present in both living and no living objects .