Question

The volume of cubical box is
$\frac{29791}{216} {m}^{3}$
Find its side.
NOTE : please give the answer with methods

Answer 1

we know volume of a cuble box = (side)³

                                     (side)³ =  29791/ 216 

                                                =∛29791/ 216 

                                                = 31/6
                                                
                                                 = 5.16 m

Answer 2

We know that.
Volume of cubical box = (side)³

Let the side of cube be a.

a³ = $\frac{29791}{216}$
a = $\sqrt[3]{ \frac{29791}{216} }$
a = $\sqrt[3]{ \frac{ {31}^{3} }{ {6}^{3} } }$

a = $\frac{31}{6}$

Therefore, The side of the cubical box is 31/6 m.