Final answer:
Surface area to volume ratios differ between shapes, with cubes and spheres showing distinct ratios. A cube's SA:V ratio decreases as its size increases, and the larger square has four times the area of the smaller square when its side length is doubled.
Step-by-step explanation:
The question requires a comparison of surface area to volume ratios for geometric shapes. In this instance, we are dealing with two cubes and a sphere. For the cubes, if the length of the side of the smaller cube is 1 cm, its surface area (SA) is 6 cm² and its volume (V) is 1 cm³, resulting in an SA:V ratio of 6. The larger cube, with side length of 3 cm, has a SA of 54 cm² and a V of 27 cm³, leading to an SA:V ratio of 2. When the side of a square is doubled, its area increases by a factor of four (since area is proportional to the square of the side length). Similarly, when the diameter of the sphere is considered to be equal to 1 mm, its surface area and volume can be used to calculate its SA:V ratio, which will contrast with that of the cubes.