The volume of a cubical box is $97336\ cm^3$. find the length of the side of the box.

Given: The volume of a cubical box is $97336\ cm^3$.

To do: To find the length of the side of the box.

Solution:

 Let $a$ be the side of the cubical box.

Therefore, volume of the cube $a^3=97336\ cm^3$

$\Rightarrow a=\sqrt[3]{97336}$

$\Rightarrow a=\underline{5\times5\times5}\times\underline{11\times11\times11}$

$\Rightarrow a=5\times11$

$\Rightarrow a=55\ cm$

Thus, the side of the cubical box is $55\ cm$.

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Updated on: 10-Oct-2022

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