Density of an object basically means how tightly the matter of the object is packed together.

It can also be defined as mass per unit volume.

Density = Mass ÷ Volume

**⍴ = m ÷ V**

The unit of density is **kg/m³** or **g/cm³**

**Example:**

A rock weighing 0.6 kg has a volume of 15 cm³. What is its density?

Solution:

Since the mass is given in kilograms, we need to convert it into grams.

Mass = 0.6 kg = 600 g

Volume = 15 cm³

⍴ = 600 ÷ 15 = 40 g/cm³

**Example:**

A cuboidal block of glass has dimensions 1m x 60 cm x 2 m. It weighs exactly 2 kg. What is its density?

Solution:

Dimensions of the block = 1 m x 0.6 m x 2 (convert 60 cm to 0.6 m)

Since the block is cuboidal, we can use the formula: (l x b x h) to find the volume.

Volume = (1 x 0.6 x 2 )= (2 x 0.6) = 1.2 m³

Mass = 2 kg

⍴ = (2 ÷ 1.2) = 1.66666… = 1.67 kg/m³

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