Final answer:
The surface area to volume ratio of a cube with a side length of 4 cm is calculated to be 1.5, derived from its surface area of 96 cm² and volume of 64 cm³.
Step-by-step explanation:
The surface area to volume ratio of a cube with a side length of 4 cm can be calculated by first determining the surface area (SA) and the volume (V) of the cube then dividing SA by V. The surface area of a cube is given by the formula SA = 6s², where s is the side length. In this case, s = 4 cm. So, SA = 6 * (4 cm)² = 6 * 16 cm² = 96 cm². The volume of a cube is given by the formula V = s³, so V = (4 cm)³ = 64 cm³. The surface area to volume ratio is therefore 96 cm² / 64 cm³ = 1.5.