To find the mass of a 2.5 dm (cubic decimeters) piece of iron, we need to convert the volume to cubic centimeters (cm³) and then multiply it by the density of iron.
Given:
Density of iron = 7.87 g/cm³
Volume of iron = 2.5 dm³
To convert dm³ to cm³, we use the conversion factor:
1 dm³ = 1000 cm³
So, 2.5 dm³ is equal to:
2.5 dm³ * 1000 cm³/dm³ = 2500 cm³
Now, we can calculate the mass using the formula:
Mass = Density * VolumeMass = 7.87 g/cm³ * 2500 cm³
Calculating the result:
Mass = 19675 g
Therefore, the mass of a 2.5 dm piece of iron is 19675 grams.