Question

Fill in the blanks in each of the following so as to make the statement true :
$1\text{litre}=$ $\text{cubic decimetre}$

Answer 1

We know that,
$1\text{litre}=1000c{m}^3\text{and}1cm=0.1dm$

$\text{Since,}1cm=0.1dm$
$\Rightarrow (1cm{)}^3=(0.1dm{)}^3$
$\Rightarrow 1c{m}^3=0.1\times 0.1\times 0.1d{m}^3$
$\Rightarrow 1c{m}^3=0.001d{m}^3\dots \left(1\right)$

$\therefore 1\text{litre}=1000c{m}^3$
$=1000\times 0.001d{m}^3$ $\text{(from}1)$
$=1d{m}^3$

Hence, $1$ litre $=1$ cubic decimetre