Fill in the blanks in each of the following so as to make the statement true :
$1 c u . d m =$ $c u . m m$

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Solution

We know that,
$1 d m = 0.1 m$

Also, $1 m = 100 c m$
$= 100 \times 10 m m$ $(∵ 1 c m = 10 m m)$
$= 1000 m m$

$\Rightarrow 0.1 m = 100 m m$

$∴ 1 c u . d m = 1 d m^{3}$
$= (100 m m)^{3}$
$= 100 \times 100 \times 100 m m^{3}$
$= 10^{6} m m^{3}$

$Hence, 1 c u . d m = 10^{6} c u . m m$

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