To determine which metal has the lowest density, we can calculate the density of each metal using the formula:
\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]
We will calculate the density for each metal:
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Metal A: \[ \text{Density}_A = \frac{122 , \text{g}}{12.5 , \text{cm}^3} = 9.76 , \text{g/cm}^3 \]
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Metal B: \[ \text{Density}_B = \frac{129 , \text{g}}{15.2 , \text{cm}^3} = 8.48 , \text{g/cm}^3 \]
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Metal C: \[ \text{Density}_C = \frac{101 , \text{g}}{13.1 , \text{cm}^3} = 7.72 , \text{g/cm}^3 \]
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Metal D: \[ \text{Density}_D = \frac{126 , \text{g}}{18.7 , \text{cm}^3} = 6.74 , \text{g/cm}^3 \]
Now let's summarize the densities calculated:
- Density A: 9.76 g/cm³
- Density B: 8.48 g/cm³
- Density C: 7.72 g/cm³
- Density D: 6.74 g/cm³
The metal with the lowest density is Metal D with a density of 6.74 g/cm³.
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