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The volume of a cubical tank is $ 21,97,000 \mathrm{~m}^{3} $. Find the length of its side.
Given:
The volume of a cubical tank is \( 21,97,000 \mathrm{~m}^{3} \).
To do:
We have to find the length of the side of the tank.
Solution:
Let $a$ be the side of the cubical tank.
We know that,
Volume of a cube of side $a=a^3$.
Therefore,
Volume of the cube $=a^3$
$a^3=2197000$
$\Rightarrow a=\sqrt[3]{2197000}$
$\Rightarrow a=\sqrt[3]{130\times130\times130}$
$\Rightarrow a=\sqrt[3]{130^3}$
$\Rightarrow a=130\ m$
Therefore, the side of the cubical tank is $130\ m$.
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