If the Size of a Cell Doubles, What Will Be

Question

​If the size of a cell doubles, what will be its surface area to volume ratio?
A) ​8:4
B) ​4:8
C) ​16:4
D) ​16:8
E) ​64:16

Accepted Answer

When the size of a cell doubles, its volume increases by a factor of 2^3 (since volume is proportional to the cube of the size), and its surface area increases by a factor of 2^2 (since surface area is proportional to the square of the size). Therefore, if the original surface area to volume ratio is 1:1, after doubling the size, the new ratio becomes 4:8, reflecting the squared increase in surface area and the cubed increase in volume.

​If the size of a cell doubles, what will be its surface area to volume ratio?

If the size of a cell doubles, what will be its surface area to volume ratio?