Question

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

Answer 1

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$$a^3=19.683$
$$\begin{gathered} \Rightarrow a=\sqrt[3]{19.683} \\ \Rightarrow a=2.7cm \end{gathered}$$

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.