To determine which materials would float in water, we need to compare the density of each material to the density of water. The density of water is given as [tex]\(1.0 \, \text{g/cm}^3\)[/tex]. Materials with a density less than [tex]\(1.0 \, \text{g/cm}^3\)[/tex] will float in water, while those with a density greater than [tex]\(1.0 \, \text{g/cm}^3\)[/tex] will sink.
Here is the step-by-step comparison for each material:
1. Aluminum:
- Density: [tex]\(2.64 \, \text{g/cm}^3\)[/tex]
- [tex]\(2.64 > 1.0\)[/tex]
- Aluminum will sink in water.
2. Cork:
- Density: [tex]\(0.24 \, \text{g/cm}^3\)[/tex]
- [tex]\(0.24 < 1.0\)[/tex]
- Cork will float in water.
3. Iron:
- Density: [tex]\(7.50 \, \text{g/cm}^3\)[/tex]
- [tex]\(7.50 > 1.0\)[/tex]
- Iron will sink in water.
4. Lead:
- Density: [tex]\(11.34 \, \text{g/cm}^3\)[/tex]
- [tex]\(11.34 > 1.0\)[/tex]
- Lead will sink in water.
5. Wax:
- Density: [tex]\(0.72 \, \text{g/cm}^3\)[/tex]
- [tex]\(0.72 < 1.0\)[/tex]
- Wax will float in water.
Based on these comparisons, the materials that would float in water are:
- Cork
- Wax
