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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Updated on: 10-Oct-2022

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