Final answer:
1.0 gram of aluminum has a greater volume than 1.0 gram of steel because its density is lower, allowing a given mass of aluminum to occupy more space.
Step-by-step explanation:
To determine which has a greater volume, 1.0 gram of steel or 1.0 gram of aluminum, we need to compare their densities. The density of a substance is defined as its mass per unit volume. Given that the density of aluminum is 2.70 g/cm³, we can calculate the volume that 1.0 gram of aluminum would occupy using the formula V = m/ρ, where V is volume, m is mass, and ρ (rho) is density.
When we perform the calculation for aluminum (V = 1.0 g / 2.70 g/cm³), we find that the volume is approximately 0.37 cm³. Although the density of steel is not provided in the reference information, it is common knowledge that it's typically around 7.85 g/cm³. Calculating the volume for steel in the same manner (V = 1.0 g / 7.85 g/cm³) gives a volume of about 0.13 cm³.
Comparing the two volumes, we can see that 1.0 gram of aluminum has a larger volume than 1.0 gram of steel. Thus, the correct answer is 1.0 gram of aluminum has a greater volume.