A student prepares three agar cubes containing a pH indicator, with side lengths of 1 cm, 2 cm, and 3 cm. The cubes are placed in a solution of hydrochloric acid. The acid diffuses into the cubes from all surfaces, causing the indicator to change colour. The student records the time taken for the colour change to reach the centre of each cube.
Describe how the surface-area-to-volume ratio changes with increasing cube size, and how this affects the time taken for the acid to diffuse to the centre.