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Density = Mass/Volume

d = 5.30/13.2

Answer: The density of metal is [tex]11.16g/cm^3[/tex]

Explanation:

To calculate volume of a substance, we use the equation:

[tex]\text{Density of a substance}=\frac{\text{Mass of a substance}}{\text{Volume of a substance}}[/tex]

We are given:

Mass of metal = 5.30 lb = 2406.2 g   (Conversion factor:  1 lb = 454 g)

Volume of metal = [tex]13.2in^3=215.69cm^3[/tex]     (Conversion factor:  [tex]1in^3=16.34cm^3[/tex] )

Putting values in above equation, we get:

[tex]\text{Density of metal}=\frac{2406.2g}{215.69cm^3}\\\\\text{Density of metal}=11.16g/cm^3[/tex]

Hence, the density of metal is [tex]11.16g/cm^3[/tex]

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