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Copper has a density of [tex]$8.9 \, g/cm^3$[/tex]. A copper necklace has a volume of [tex]$396 \, cm^3$[/tex].

What is the mass of the copper necklace?

A. 0.02 g

B. 44.5 g

C. 404.9 g

D. 3524.4 g

Sagot :

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].