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The volume of a cubical box is $19.683$cu.cm.Find the length of each side of the box.

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Hint: Use the formula, volume of cube $(v) = {a^3}$

Let the length of each side of cubical box is $a$

We know that volume of a cube $(v) = {a^3}$

Given volume of cubical box as $19.683$cu.cm

Here the cubical box is nothing but cube

Therefore
$ \Rightarrow $${a^3} = 19.683$
$\
   \Rightarrow a = \sqrt[3]{{19.683}} \\
   \Rightarrow a = 2.7cm \\
\ $

Hence, the length of each side of cubical box $a = 2.7$cm

NOTE: In this kind of problems formula is important as it is direct substitution.
Concentrate on cube root simplification.