Question

introduction and instructions
surface area
(length × width) × 6 sides
2 cm × 2 cm × 6 = 24 cm²
4 cm × 4 cm × 6 = 96 cm²
6 cm × 6 cm × 6 = 216 cm²
volume
(length × width × height)
2 cm × 2 cm × 2 cm = 8 cm³
4 cm × 4 cm × 4 cm = 64 cm³
6 cm × 6 cm × 6 cm = 216 cm³
ratio of surface
area to volume
24 / 8 = 3:1
96 / 64 = 1.5:1
216 / 216 = 1:1

Explanation:

Step1: Calculate the ratio

The ratio of surface area to volume is calculated by dividing the surface area by the volume.
For the first row: $\frac{24}{8} = 3:1$
For the second row: $\frac{96}{64} = 1.5:1$
For the third row: $\frac{216}{216} = 1:1$

Answer:

The ratios of surface area to volume for the three cubes are $3:1$, $1.5:1$, and $1:1$ respectively.