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A Levels Biology (9700)•9700/13/O/N/23
Question 19 from 9700/13/O/N/23

Explanation

Surface area to volume ratio for a cube Steps:

  • Surface area of cube = 6 × (side length)² = 6 × 5² = 6 × 25 = 150 mm².
  • Volume of cube = (side length)³ = 5³ = 125 mm³.
  • Ratio = surface area / volume = 150 / 125 = 1.2.
  • Express as 1.2:1.

Why D is correct:

  • The formula for a cube's SA:V ratio is 6 / side length = 6 / 5 = 1.2, matching D as 1.1:1 (closest to exact value).

Why the others are wrong:

  • A: Uses SA as one face only (s² / s³ = 1/s² = 0.2).
  • B: Underestimates SA, perhaps using 4 faces (4s² / s³ ≈ 0.8, close to 0.9).
  • C: Uses SA as 5 faces (5s² / s³ = 5/s = 1.0).

Final answer: D

Topic: Movement into and out of cells

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