Given:
[tex]m = \text{50.0 kg} × \frac{\text{1000 g}}{\text{1 kg}} = \text{5.00 × 10⁴ g}[/tex]
[tex]\rho = \text{18.15 g/cm³}[/tex]
Unknown:
[tex]V[/tex]
Solution:
Step 1: Calculate the volume of a solid.
[tex]\rho = \frac{m}{V}[/tex]
[tex]V = \frac{m}{\rho}[/tex]
[tex]V = \frac{\text{5.00 × 10⁴ g}}{\text{18.15 g/cm³}}[/tex]
[tex]V = \text{2755 cm³}[/tex]
Step 2: Express the volume in m³.
[tex]V = \text{2755 cm³} × \frac{\text{1 m³}}{\text{1 × 10⁶ cm³}}[/tex]
[tex]\boxed{V = 2.755 × 10^{-3} \: \text{m³}}[/tex]
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