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NotesBiology HLTopic 2.5Surface area-to-volume ratios and constraints on cell size
Back to Biology HL Topics
2.5.64 min read

Surface area-to-volume ratios and constraints on cell size (Biology HL)

IB Biology · Unit 2

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Contents

  1. 1SA:V ratio at Higher Level
  2. 2SA:V ratio and the size of cells
  3. 3Exam-style question (step by step)
SA:V ratio at Higher Level: The same statement as SL. At HL the ratio also explains heat loss in whole animals, and leads on to the ways cells raise their SA:V on the next page.

Practise this as you read

  • Calculate SA:V for cube models.
  • Explain and suggest effects of size on exchange and heat loss.

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The big idea: As a cell gets bigger its volume grows faster than its surface area, so the SA:V ratio falls and exchange cannot keep up.

The points to remember

  • Materials enter and leave across the surface, so the rate of exchange depends on the surface area.
  • The need for exchange (oxygen used, waste made) depends on the volume of the cell.
  • When a cell doubles its length, its area is multiplied by 4 but its volume by 8, so SA:V halves.
  • A large cell would not exchange materials fast enough, so cells stay small or divide.
  • A cube is a simplified model of a cell: real cells are not cubes, but area and volume scale the same way.
Remember it as: Bigger cell, smaller ratio, slower exchange per unit of cell.
For a cube of side LFormula
Surface area6 × L × L
VolumeL × L × L
SA:V ratiosurface area ÷ volume
Cubes of side 1, 2 and 3 cm with a table: surface areas 6, 24 and 54 square centimetres, volumes 1, 8 and 27 cubic centimetres, SA:V ratios 6, 3 and 2 to 1; the ratio falls; area sets the rate of exchange, volume sets the need
Why big cells exchange too slowly.
Real example: a mouse and an elephant: A mouse has a much larger SA:V ratio than an elephant, so it loses heat across its skin far faster for its size. To stay warm, each gram of mouse uses energy much faster than each gram of elephant.

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How it is asked: Expect a Paper 1A item on how SA:V and the rate of exchange change as a cell grows, a cube calculation, or a Paper 2 Explain or Suggest about size, heat or exchange.
IB-style questionExplain[3 marks]

An amoeba divides when it reaches about 0.5 mm across. Explain why cells divide when they reach a certain size.

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Newborn babies lose body heat much faster than adults, for each kilogram of body mass.

reasons for this.
[2 marks]

Related Biology HL Topics

Continue learning with these related topics from the same unit:

2.1.1Chemical properties of carbon that allow diverse compounds2.1.2Production of macromolecules by condensation reactions2.1.3Digestion of polymers into monomers by hydrolysis reactions2.1.4Form and function of monosaccharides
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Improve your exam techniqueCommand terms, paper structure, and mark-scheme tips for Biology HL
Previous2.5.5Cell size as an aspect of specializationNextAdaptations to increase surface area-to-volume ratios of cells2.5.7

8 practice questions on Surface area-to-volume ratios and constraints on cell size

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