Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
Two cells are shaped like cubes. Cell X has a side of and cell Y a side of . Find the surface area, the volume and the ratio of surface area to volume for each. Which cell has more surface for its volume?
For a cube of side : surface area , volume , and the ratio of surface area to volume is . It falls as the cell grows.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Cell X. Area , volume , ratio per µm.
Step 2. Cell Y. Area , volume , ratio per µm.
Step 3. Compare. X has 3 times as much surface for each µm³, because its side is 3 times smaller.
Answer: X, with per µm against per µm.
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