To answer the question of which materials will displace a volume of water less than, equal to, or greater than their own volume, we will compare the density of each material to that of water. The density of water is [tex]\(1.0 \, g/cm^3\)[/tex].
### Comparison:
1. Aluminum:
- Density = [tex]\(2.64 \, g/cm^3\)[/tex]
- Since [tex]\(2.64 > 1.0\)[/tex], aluminum has a density higher than water. Hence, it will displace a volume of water less than its own volume.
2. Cork:
- Density = [tex]\(0.24 \, g/cm^3\)[/tex]
- Since [tex]\(0.24 < 1.0\)[/tex], cork has a density lower than water. Hence, it will displace a volume of water greater than its own volume.
3. Iron:
- Density = [tex]\(7.50 \, g/cm^3\)[/tex]
- Since [tex]\(7.50 > 1.0\)[/tex], iron has a density higher than water. Hence, it will displace a volume of water less than its own volume.
4. Lead:
- Density = [tex]\(11.34 \, g/cm^3\)[/tex]
- Since [tex]\(11.34 > 1.0\)[/tex], lead has a density higher than water. Hence, it will displace a volume of water less than its own volume.
5. Wax:
- Density = [tex]\(0.72 \, g/cm^3\)[/tex]
- Since [tex]\(0.72 < 1.0\)[/tex], wax has a density lower than water. Hence, it will displace a volume of water greater than its own volume.
### Conclusion:
- Materials that will displace a volume of water less than their own volume:
- Aluminum, Iron, Lead
- Materials that will displace a volume of water equal to their own volume:
- None
- Materials that will displace a volume of water greater than their own volume:
- Cork, Wax
