M7SCI-5.1

Cell Division & Growth

Learn why cells divide to grow, heal and replace worn-out cells, how DNA is copied first, and how surface area to volume ratio explains why cells stay tiny.

What you'll do in this lesson

A voice-first session with the Crimsora tutor on Cell Division & Growth, then targeted practice and FRQs — with the tutor adapting to where you get stuck.

What this lesson covers

A cut on your finger closes up in a few days. A seedling turns into a sunflower taller than you. A scraped knee grows new skin. All of that happens for one reason: cells divide. Cell division makes two new cells out of one, and each new cell carries a complete copy of the original cell's DNA instructions.

But here is the puzzle this lesson solves. If growing means making more cells, why don't organisms just grow bigger cells instead? An elephant cell is not bigger than a mouse cell — elephants simply have far more cells. The answer comes from geometry: as a cell gets bigger, its volume grows much faster than its surface area, and the surface is the only way in or out. By the end of this lesson you will be able to argue that point with actual numbers.

Growth, Repair, and Replacement All Run on Cell Division

Every multicellular organism starts as a single cell. A human body ends up with tens of trillions of cells, and every one of them traces back to that first cell through repeated division. Growth is not cells swelling up like balloons — it is one cell becoming two, those two becoming four, and so on.

Division does not stop when you finish growing. Your body is constantly wearing out cells and replacing them. The outer layer of your skin flakes off continuously and is rebuilt from below. The lining of your stomach is replaced every few days because stomach acid is harsh. Red blood cells last a few months and then are removed and remade. Bone marrow, skin, and the lining of the gut are all sites of nonstop division.

Repair is the same process aimed at damage. When you cut your skin, cells at the edge of the wound begin dividing and migrating inward until the gap is filled. A broken bone heals when bone cells divide and lay down new bone tissue. A lizard regrowing a tail and a plant sealing a broken stem are doing the same thing on a larger scale.
JobWhat cell division doesEveryday example
GrowthIncreases total cell numberA puppy becoming a dog
RepairRebuilds damaged tissueA cut closing over
ReplacementSwaps out worn-out cellsNew skin and blood cells
A common mistake is thinking these are three different processes. They are one process — division — used for three purposes.

Copy First, Then Split: Keeping the Instructions Identical

Each cell holds DNA, the molecule that carries the instructions for building and running that cell. In your cells, DNA is packed into structures called chromosomes. If a cell simply split in half, each new cell would get only half the instructions and could not survive.

So the order matters: the cell copies its DNA first, then divides. Before division begins, the cell makes a complete duplicate of every chromosome. Now the cell temporarily holds two full sets. When the cell divides, one full set is pulled to each side, and the cell pinches into two. Each daughter cell ends up with the same genetic information as the original.

Think of it like a recipe book in a restaurant that is opening a second location. You do not tear the book in half; you photocopy it so both kitchens have every recipe. Cell division works the same way — copy, then separate.

This is why a new skin cell can do skin-cell jobs. It has the same instructions the parent cell had. It is also why cell division alone does not create variety: barring rare copying errors, the two new cells are genetically identical to the one they came from.

Students often mix up the order and say the cell splits and then copies its DNA. Check yourself with this question: if the DNA were copied after splitting, what would each new cell start with? Half the instructions and no way to know what the missing half said. Copying must come first.

Surface Area Versus Volume: Why Cells Stay Small

Everything a cell needs — oxygen, water, nutrients — enters through its outer surface, the cell membrane. Everything it dumps — carbon dioxide, wastes — leaves through that same surface. Meanwhile, the volume inside is what uses the food and produces the waste.

So a cell has a supply problem. The membrane is the loading dock; the volume is the factory floor. When the factory floor grows faster than the loading dock, deliveries can't keep up.

Use a cube as a model cell with side length ss:surface area=6s2volume=s3ratio=6s2s3=6s\text{surface area} = 6s^2 \qquad \text{volume} = s^3 \qquad \text{ratio} = \frac{6s^2}{s^3} = \frac{6}{s}
Side lengthSurface areaVolumeSurface area : Volume
1 cm1\ \mathrm{cm}6 cm26\ \mathrm{cm^2}1 cm31\ \mathrm{cm^3}6:16:1
2 cm2\ \mathrm{cm}24 cm224\ \mathrm{cm^2}8 cm38\ \mathrm{cm^3}3:13:1
3 cm3\ \mathrm{cm}54 cm254\ \mathrm{cm^2}27 cm327\ \mathrm{cm^3}2:12:1
6 cm6\ \mathrm{cm}216 cm2216\ \mathrm{cm^2}216 cm3216\ \mathrm{cm^3}1:11:1
Notice that surface area and volume both increase — but the ratio falls every time. Doubling the side multiplies surface area by 44 and volume by 88.

That shrinking ratio is the argument. A large cell has too little membrane per unit of interior, so materials cannot diffuse in fast enough or reach the center quickly enough. Rather than keep growing, a cell divides. Two small cells have the same total volume as one big one but far more combined surface area.

Building the Argument (and Avoiding the Usual Traps)

Your objective asks you to argue from evidence, not just state a fact. A complete argument has three parts: the claim, the numbers, and the reasoning that connects them.

Claim: cells stay small instead of growing large. Evidence: as a cube-shaped model cell goes from 2 cm2\ \mathrm{cm} to 6 cm6\ \mathrm{cm} per side, its surface area to volume ratio drops from 3:13:1 to 1:11:1. Reasoning: materials enter and leave only through the surface, while the volume consumes those materials, so a lower ratio means each unit of interior is served by less membrane. Beyond a certain size the cell cannot supply itself, so dividing keeps the ratio high.

Three traps show up over and over.

First, writing that "surface area gets smaller as the cell grows." It does not — it gets bigger. What shrinks is the ratio. Say ratio every time.

Second, claiming big organisms have big cells. They have more cells. Comparing a whale and a mouse under a microscope shows cells of roughly similar size.

Third, forgetting distance. Even if supply through the membrane were adequate, materials still have to diffuse to the center. Diffusion is slow over long distances, so a huge cell would starve in the middle. This is exactly what the agar-cube-and-indicator lab demonstrates: the dye soaks all the way through the small cube but leaves an untouched core in the big one.

Key terms

Cell division.
The process in which one cell becomes two new cells, each carrying a full copy of the original cell's genetic information.
DNA.
The molecule inside a cell that stores the instructions for building and operating that cell; it is copied before the cell divides.
Chromosome.
A packaged structure of DNA inside the cell; each chromosome is duplicated before division so both new cells get a complete set.
Daughter cells.
The two new cells produced by a cell division. They are genetically identical to the original cell.
Surface area.
The total area of a cell's outer boundary, the membrane, through which all materials must enter and leave. For a cube of side ss it equals 6s26s^2.
Volume.
The amount of space inside a cell, which determines how much material the cell uses and how much waste it makes. For a cube of side ss it equals s3s^3.
Surface area to volume ratio.
Surface area divided by volume; it measures how much membrane serves each unit of interior. It decreases as a cell gets larger.
Diffusion.
The movement of particles from a crowded area to a less crowded one; it is how many materials cross the membrane and travel inside the cell, and it is slow over long distances.

Worked example

A class builds two cube-shaped model cells out of agar. Cube A has sides of 2 cm2\ \mathrm{cm}. Cube B has sides of 6 cm6\ \mathrm{cm}. Calculate the surface area, volume, and surface area to volume ratio of each. Then use the results to explain why real cells divide instead of growing to the size of Cube B.
Start with Cube A. Surface area is 6s2=6×(2)2=6×4=24 cm26s^2 = 6 \times (2)^2 = 6 \times 4 = 24\ \mathrm{cm^2}. Volume is s3=(2)3=8 cm3s^3 = (2)^3 = 8\ \mathrm{cm^3}. The ratio is 248=3\frac{24}{8} = 3, written 3:13:1.

Now Cube B. Surface area is 6×(6)2=6×36=216 cm26 \times (6)^2 = 6 \times 36 = 216\ \mathrm{cm^2}. Volume is (6)3=216 cm3(6)^3 = 216\ \mathrm{cm^3}. The ratio is 216216=1\frac{216}{216} = 1, written 1:11:1.

Compare them. Cube B has nine times the surface area of Cube A (216216 versus 2424), which sounds like a big advantage. But its volume is twenty-seven times larger (216216 versus 88). Volume outran surface area, so the ratio fell from 3:13:1 down to 1:11:1.

Interpret that for a real cell. The membrane is the only route in and out, and the volume is what consumes nutrients and produces waste. At 3:13:1 there are three units of membrane serving every one unit of interior. At 1:11:1 there is only one. The larger cell has proportionally far less membrane to feed itself, and the center is also much farther from the surface, so diffusion takes longer to reach it.

Conclusion: instead of growing to Cube B's size, the cell divides. Two cells the size of Cube A have a combined volume of 16 cm316\ \mathrm{cm^3} and a combined surface area of 48 cm248\ \mathrm{cm^2} — each one keeps the healthy 3:13:1 ratio. That is how organisms grow: more cells, not bigger cells.

Practice questions

A cell's side length doubles. Which statement correctly describes what happens?
  1. Surface area and volume both double, so the ratio stays the same.
  2. Surface area increases by a factor of 4 and volume by a factor of 8, so the ratio decreases.
  3. Surface area decreases while volume increases, so the ratio decreases.
  4. Volume increases by a factor of 4 and surface area by a factor of 8, so the ratio increases.

Answer: Surface area increases by a factor of 4 and volume by a factor of 8, so the ratio decreases.

Surface area depends on s2s^2, so doubling ss multiplies it by 22=42^2 = 4. Volume depends on s3s^3, so it is multiplied by 23=82^3 = 8. Both go up, but volume grows faster, so surface area divided by volume gets smaller. The choice saying surface area decreases is a common wrong answer — surface area always increases with size; it is only the ratio that falls.
Why must a cell copy its DNA before it divides rather than after? Explain what would go wrong otherwise.

Answer: The DNA must be duplicated first so that each daughter cell receives a complete set of chromosomes. If the cell split first, the original DNA would be divided between the two cells, leaving each with only part of the instructions — and neither cell would have the missing information needed to rebuild the rest. Copying first guarantees both new cells carry the same complete genetic information as the original.

The key idea is that DNA is instructions, not fuel. Fuel can be shared out; instructions cannot be partially shared and still work. A strong answer states the order (copy, then separate), says each new cell gets a full identical set, and explains the failure that copying-after would cause.
Marisol says, 'Whales are huge, so whale cells must be enormous compared to mouse cells.' Use the surface area to volume relationship to evaluate her claim.

Answer: Her claim is incorrect. Whale and mouse cells are roughly similar in size; whales are larger because they have vastly more cells. Cells cannot become enormous because as a cell grows, its volume increases faster than its surface area, so the surface area to volume ratio drops. The membrane could not bring in enough materials or remove enough waste for the interior, and diffusion would be too slow to reach the center. Organisms therefore grow by cell division, not by cell enlargement.

This question checks whether you can apply the geometry to a real comparison. The reasoning chain is: bigger cell means lower ratio, lower ratio means inadequate exchange across the membrane, so size is capped, so growth must come from more cells.

FAQ

Do organisms grow because cells get bigger or because there are more cells?
Mainly because there are more cells. Cells do enlarge somewhat between divisions, but there is a strict upper limit set by the surface area to volume relationship. Real growth — a seedling becoming a tree, a baby becoming an adult — comes from repeated cell division producing enormous numbers of cells.
Are the two new cells exactly the same as the original?
Genetically, yes. Because the DNA is copied before the cell splits, each daughter cell receives the same complete set of instructions the parent had. The two new cells may later specialize into different jobs in the body, but they start out carrying identical genetic information.
If surface area to volume ratio matters so much, how do large organisms solve the problem?
They stay built out of small cells and add structures that increase surface area where exchange happens. Lungs are folded into millions of tiny sacs, the small intestine is lined with finger-like projections, and root hairs spread out through soil. Each of these designs packs a lot of surface into a small space — the same principle at a larger scale.
What happens if cells divide when they are not supposed to?
Cell division is normally tightly controlled, speeding up during growth and healing and slowing down afterward. When that control breaks down and cells divide without stopping, they can pile up into a mass of tissue. Studying how the body regulates division is a major focus of medical research.

Learn this with a teacher, not a page

The Crimsora tutor teaches Cell Division & Growth live — explaining on a whiteboard, asking you questions, and adapting to where you get stuck.