To determine the mass of the copper necklace, we can use the formula for mass, which is given by:
[tex]\[ \text{mass} = \text{density} \times \text{volume} \][/tex]
Here are the given values:
- Density of copper, [tex]\( \rho = 8.9\, \text{g/cm}^3 \)[/tex]
- Volume of the necklace, [tex]\( V = 396\, \text{cm}^3 \)[/tex]
Step-by-step solution:
1. Identify the formula for mass:
[tex]\[ \text{mass} = \text{density} \times \text{volume} \][/tex]
2. Substitute the given values into the formula:
[tex]\[ \text{mass} = 8.9\, \text{g/cm}^3 \times 396\, \text{cm}^3 \][/tex]
3. Perform the multiplication:
[tex]\[ \text{mass} = 8.9 \times 396 \][/tex]
4. The result of the multiplication is:
[tex]\[ \text{mass} = 3524.4\, \text{g} \][/tex]
Therefore, the mass of the copper necklace is [tex]\( 3524.4\, \text{g} \)[/tex]. This matches one of the provided answer choices. The mass of the copper necklace is [tex]\( \boxed{3524.4\, \text{g}} \)[/tex].
