Final answer:
Object A has a greater volume than Object B by 0.5 cubic centimeters.
Step-by-step explanation:
The density of an object can be calculated by dividing its mass by its volume. In this case, Object A has a mass of 9 g and a density of 10 g/cm³. Using the formula density = mass/volume, we can solve for the volume of Object A. Rearranging the formula, volume = mass/density, we find that the volume of Object A is 0.9 cm³.
Similarly, Object B has a mass of 4 g and a density of 10 g/cm³. Using the same formula, we can calculate the volume of Object B. The volume of Object B is 0.4 cm³.
Comparing the volumes, we see that Object A has a greater volume than Object B. The difference in volume is 0.9 cm³ - 0.4 cm³ = 0.5 cubic centimeters. Therefore, Object A has a greater volume than Object B by 0.5 cubic centimeters.