Question

24. The unit used to measure the liquids is litre. One
litre is equal to 1000 millilitre and one millilitre is
equal to 1 cm. Deduce a relationship between S.L.
unit of volume and litre.​

Answer 1

Answer:

Given, 1 litre = 1000 ml          .......... (1)

(ml= millilitre) and 1 ml= 1 cm  

3

      .......... (2)

Substitute (2) in (1) we get,

1 litre = 1000 cm  

3

      ........... (3)

We know that, S.I. unit of volume = m  

3

 

Now, we have to find, 1 litre = ? m  

3

 

We know,

1 m = 100 cm

⇒(1m)  

3

=(100cm)  

3

 

⇒1m  

3

=1000000cm  

3

      ........... (4)

Dividing (3) by (4) we get,

1m  

3

 

1litre

​  

=  

1000000cm  

3

 

1000cm  

3

 

​  

 

1000000

1000

​  

=  

1000

1

​  

 

⇒  

1m  

3

 

1litre

​  

=  

1000

1

​  

 

⇒1000litre=1m  

3

  or

1litre=  

1000

1

​  

m  

3

=10  

−3

m  

3

 ∴1 litre=10  

−3

m  

3

  or  1m  

3

=10  

3  litre

Explanation: