Question

Iron has a density of 7.86 g/cm3 ( 1 cm3=1 mL ). Calculate the volume (in dL ) of a piece of iron having a mass of 3.92 kg . Note that the density is provided in different units of volume and mass than the desired units of volume ( dL ) and the given units of mass ( kg ). You will need to express the density in kg/dL ( 1 cm3 = 1 mL ) before calculating the volume for the piece of iron.
Express your answer to three significant figures.

Answer 1

The volume (in dL) of the piece of iron having a mass of 3.92 kg is 4.99 dL

What is density?

The density of a substance is simply defined as the mass of the subtance per unit volume of the substance. Mathematically, it can be expressed as

Density = mass / volume

How to determine the volume of the iron

From the question given above, the following data were obtained:

• Mass of iron = 3.92 kg = 3.92 × 1000 = 3920 g
• Density of iron = 7.86 g/cm³
• Volume of iron =?

Density = mass / volume

Thus,

Volume = mass / density

Volume of iron = 3920 / 7.86

Volume of iron = 498.7277 cm³

Divide by 100 to express in dL

Volume of iron = 498.7277 / 100

Volume of iron = 4.99 dL

Thus, the volume of the iron is 4.99 dL

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