To determine which of the materials has the highest volume when comparing equal masses (1 kg), we need to consider the densities of each material:
- Lead: Density ≈ 11,343 kg/m³
- Iron: Density ≈ 7,874 kg/m³
- Gold: Density ≈ 19,320 kg/m³
- Aluminum: Density ≈ 2,700 kg/m³
Using the formula for volume (Volume = Mass / Density), we can calculate the volume of each material:
A. Lead:
Volume = 1 kg / 11,343 kg/m³ ≈ 0.0881 m³
B. Iron:
Volume = 1 kg / 7,874 kg/m³ ≈ 0.127 m³
C. Gold:
Volume = 1 kg / 19,320 kg/m³ ≈ 0.0518 m³
D. Aluminum:
Volume = 1 kg / 2,700 kg/m³ ≈ 0.370 m³
Now, comparing the volumes calculated:
- Lead: ≈ 0.0881 m³
- Iron: ≈ 0.127 m³
- Gold: ≈ 0.0518 m³
- Aluminum: ≈ 0.370 m³
Aluminum has the highest volume among the choices provided. Thus, the answer is:
D. 1 kg of aluminum
1 answer