A wooden block measuring 40 cm ｘ 10 cm ｘ 5 cm has a mass of 850 g. Find the density of the wood. Ans. (425 kg m⁻³)


Given:  

Volume of the wooden block (from the measurement) = V =  40 cm ｘ 10 cm ｘ 5 cm = 2000 cm³ = 2 ｘ1o³ cm³ = 2 ｘ1o³ ｘ1o⁻⁶ m³ = 2 ｘ1o⁻³ m³ ( 1 cm³ = 1o⁻⁶ m³)

Mass of the wooden block = m = 850 g = 0.85 kg

To Find:

The density of the wood = 𝜌 =? 

Solution:   

As Density is defined as mass per unit volume. So, 

Density = `\frac {Mass}{Volume}`

𝜌 = `\frac {m}{V}`

 by putting values

𝜌 = `\frac {0.85 kg}{2 ｘ1o⁻³ m³}`

𝜌 = 0.425 ｘ1o³ kg m⁻³

𝜌 = 425 ｘ1o⁻³ｘ1o³ kg m⁻³

𝜌 = 425 ｘ1o⁻³⁺³ kg m⁻³

𝜌 = 425 ｘ1o⁰ kg m⁻³

or

𝜌 = 425 kg m⁻³

Thus, the density (𝜌) of the wood of the block is 425 kg m⁻³

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