Cell models

It's straightforward to model cells using cubes.

It’s straightforward to model cells using cubes.

We can investigate the effect of increasing size on surface area to volume ratios using models based on cubes:

A table showing the volume of ratios

So, as the volume increases, the surface area does not increase at the same rate.

If a graph is drawn:

So, as the volume increases, the surface area does not increase at the same rate. If a graph is drawn:
Question

What is the surface area to volume ratio of the highlighted mark?

This cube will have a surface area to volume ratio of 1.

The volume = 6 × 6 × 6 = 216

The surface area = 6 × (6 × 6) = 216

A stacked bar chart can be drawn to illustrate the proportions of surface area and volume.