An agar cube with sides of 2 cm is cut into eight cubes with sides of 1 cm. How does the surface area to volume ratio change?
- Before: surface area = 6 × 2 × 2 = 24 cm2; volume = 2 × 2 × 2 = 8 cm3; ratio = 24 ÷ 8 = 3 : 1.
- After: each small cube has surface area 6 × 1 × 1 = 6 cm2, so the total is 8 × 6 = 48 cm2.
- The total volume is still 8 cm3, so the ratio = 48 ÷ 8 = 6 : 1.
Answer: The ratio doubles from 3 : 1 to 6 : 1, so a substance diffuses to the centre of the agar more quickly.