Question

A cell is 30 µm in height. Assume that the cell is cube-shaped. What is the surface to volume ratio?

a) 0.2
b) 0.3
c) 0.4
d) 0.5

Answer 1

The surface to volume ratio of the cube-shaped cell is 0.2.

Step-by-step explanation:

The surface area-to-volume ratio of a cube-shaped cell can be calculated by using the formula for the surface area and volume of a cube. The formula for the surface area of a cube is 6s^2, where s is the length of one side of the cube. The formula for the volume of a cube is s^3.

In this case, the cell has a side length of 30 µm, so the surface area would be (6 * (30 µm)^2) = 5400 µm^2 and the volume would be (30 µm)^3 = 27000 µm^3. Therefore, the surface to volume ratio is 5400 µm^2 / 27000 µm^3 = 0.2.