Question 1

Paper 2Easy5 marks

Cubes of different side lengths are used as simplified models of cells. Figure 1 shows the surface-area-to-volume ratio of the cubes.

012345600.511.522.533.544.555.566.5Side length of cube / cmSurface-area-to-volume ratio / cm⁻¹
(a)

Read the surface-area-to-volume ratio for a cube with a side length of 2 cm. Give the unit.

[1]
(b)

Determine the side length of a cube with a surface-area-to-volume ratio of 1.5 cm⁻¹. Give the unit.

[1]
(c)

Explain how the pattern in Figure 1 suggests a constraint on the size of a cell.

[3]

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