Question

the mass of the lump of the gold is 193 gram. find the density of gold in kg per cubic metre,if volume of lump is 10centimetre cube.​

Answer 1

Answer :-

Density of the gold is 19300 kg/m³ .

Explanation :-

We have :-

→ Mass of the lump of gold = 193 g

→ Volume = 10 cm³

To find :-

→ Density of the gold (in kg/m³)

______________________________

Firstly, let's convert the unit of mass of the lump from g to kg and the unit of volume from cm³ to m³.

Mass :-

⇒ 1 g = 0.001 kg

⇒ 193 g = 193(0.001)

⇒ 0.193 kg

Volume :-

⇒ 1 cm³ = 10⁻⁶ m³

⇒ 10 cm³ = 10 × 10⁻⁶

⇒ 10⁻⁵ m³

Now we know that :-

Density = Mass/Volume

⇒ Density = 0.193/10⁻⁵

⇒ Density = 0.193 × 10⁵

⇒ Density = 19300 kg/m³

Answer 2

Given :-

The mass of the lump of the gold is 193 gram.volume of lump is 10centimetre cube.​

To Find :-

Density

Solution :-

We know that

0.001 kg = 1 gm

193 gm = 193 × 0.001 = 0.193 kg

now

Converting cm to m

= 10 × 10⁻⁶

= 10⁻⁵ m³

Now

Density = Mass/Value

Density = 0.193/10⁻⁵

Density =  19300

Hence

Density = 19300 kg/m³