Final answer:
A cube-shaped cell with a side length of 30 µm has a surface-to-volume ratio of 0.2 µm (Option C).
Step-by-step explanation:
The surface-to-volume ratio of a cube-shaped cell can be calculated by dividing the surface area of the cell by its volume. The surface area of a cube can be found by multiplying the length of one side by six, and the volume can be found by cubing the length of one side. The formula for surface area is SA = 6s² and the formula for volume is V = s³, where s represents the length of one side of the cube.
In this case, the side length of the cube-shaped cell is given as 30 µm. Plugging this value into the formulas, we get:
Surface area = 6 * (30 µm)²
= 6 * 900 µm² = 5400 µm²
Volume = (30 µm)³
= 27000 µm³
Thus, the surface-to-volume ratio of the cell is
5400 µm² / 27000 µm³
= 0.2 µm (Option C)