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      Diffusion and surface area to volume ratio

      Lesson details

      Learning outcome

      I can calculate the surface area, volume and surface area to volume ratio of different sized cubes and observe how long it takes for a liquid to diffuse into them.

      Key learning points

      1. The concepts of surface area, volume, and surface area to volume ratio.
      2. Calculation of the surface areas, volumes and surface area to volume ratios of cubes of different sizes.
      3. Use of coloured agar cubes of different sizes to observe time taken for acid to diffuse to the centre of each cube.
      4. Interpretation of results and explanation using ideas about surface area to volume ratio and diffusion.

      Keywords

      • Surface area - The total area of the surface of an object.

      • Volume - The total space of an object.

      • Surface area to volume ratio - The relationship between the surface area and the volume of a shape.

      • Diffusion - Diffusion is the net movement of particles from an area of higher concentration to an area of lower concentration.

      Common misconception

      Mistakes with the calculations of surface area or volume are common. The concepts of surface area, volume and their ratio, with the effect that changing these have on diffusion, are difficult.

      Plenty of practise on how to calculate surface area and volume, and compare these as a ratio, some simplified, is included. The experiment results are used to show the impact of changing surface area, volume and width on diffusion.

      Teacher tip

      You could run the agar cubes as a demo on the side during the lesson to see their progress in real time.

      Equipment

      Beakers; cubes of agar containing phenolphthalein indicator and 0.5M sodium carbonate; 0.1M hydrochloric acid; timer

      Content guidance

      Risk assessment required - equipment

      Supervision

      Adult supervision required

      Licence

      This content is © Oak National Academy Limited (2026), licensed on Open Government Licence version 3.0
      except where otherwise stated. See Oak's terms & conditions
      (Collection 2).

      Lesson video

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      Prior knowledge starter quiz

      6 Questions

      Q1.
      The area of this object is cm².

      An image in a quiz
      Correct Answer: 20, 19.98

      Q2.
      True or false? Diffusion is a passive process.

      Correct answer: true
      false

      Q3.
      What is the volume of this cube?

      An image in a quiz
      Correct answer: 343 cm³
      343 cm²
      294 cm³
      294 cm²

      Q4.
      How many mm are in 4 m?

      40
      400
      Correct answer: 4000
      40 000

      Q5.
      What is the correct description of diffusion?

      An image in a quiz
      Net movement from a low to high concentration down a concentration gradient.
      Correct answer: Net movement from a high to low concentration down a concentration gradient.
      Net movement from a low to high concentration against a concentration gradient.
      Net movement from a high to low concentration against a concentration gradient.

      Q6.
      What will happen to the particles of carbon dioxide?

      An image in a quiz
      Correct answer: They will move inside the leaf.
      They will move out of the leaf.
      They will stay where they are.

      6 Questions

      Q1.
      The volume of this shape is cm³.

      An image in a quiz
      Correct Answer: 40

      Q2.
      A 4 cm wide cube takes 60 minutes to fully discolour. If we cut the cube into 4 new cubes each 2 cm wide, how long would each cube take to discolour?

      Correct Answer: 30 minutes, 30, 30 mins

      Q3.
      What is the SA : V of this cube?

      An image in a quiz
      7 : 6
      Correct answer: 6 : 7
      8 : 7
      7 : 8

      Q4.
      What is the relationship between the width of a cube and the surface area to volume ratio?

      As the width of a cube doubles, the surface area to volume ratio also doubles.
      As the width of a cube doubles, the surface area to volume ratio quadruples.
      Correct answer: As the width of a cube doubles, the surface area to volume ratio halves.
      As the width of a cube doubles, the surface area to volume ratio triples.

      Q5.
      As the SA : V increases, the time taken for a substance to diffuse will ...

      Correct Answer: decrease, decreases, reduce, lessen, be shorter

      Q6.
      Which organism has the smallest SA : V?

      Correct answer: cow
      mouse
      human
      ant

      To help you plan your 10 combined science lesson on: Diffusion and surface area to volume ratio, download all teaching resources for free and adapt to suit your pupils' needs...