Answer: The volume of iron is [tex]3.031\times 10^{-3}m^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 iron = 52.6 lbm = 23.86 kg (Conversion factor: 1 kg = 2.205 lbm)
Density of iron = [tex]7873kg/m^3[/tex]
Putting values in above equation, we get:
[tex]7873kg/m^3=\frac{23.86kg}{\text{Volume of iron}}\\\\\text{Volume of iron}=3.031\times 10^{-3}m^3[/tex]
Hence, the volume of iron is [tex]3.031\times 10^{-3}m^3[/tex]