Iron has a density of 7.86 g/cm3. Calculate the volume (in dL) of a piece of iron having a mass of 3.11 kg

The volume is 3.96 dL

Explanation:

Step 1: Convert ml to dl

1Liter = 1000ml = 10³ ml

1Liter = 10 dl

⇒ 1 Liter has 1000ml or 10 dl

⇒ The ratio can be written as : 10dl / 1000ml = 1 dl / 100ml

Step 2: Convert cm³ =

⇒ 1cm³ is equal to 1 ml.

Step 3: Calculate volume

⇒ We use the formule of density here, which is : Density (p) = mass (g) / volume (cm³)

⇒ 7.86 g / cm³ = 3110 grams / Volume (cm³)

⇒Volume = 3110 grams / 7.86g/cm³ = 395.67 cm³

395.67 cm³ = 395.67 ml = 0.39567 L = 3.96 dL

3.96 dL is reported to three significant digits due to the precision reported for the density.