Find the length of the side of a cube whose volume is 343 cubic units.

The volume of a cube with an edge 'a' is given by the formula a³ .

So, the volume is given as 343 cubic units, ${\mathrm{a}}^3=343$

Therefore,

${\mathrm{a}}^3=343$,

By taking cube roots on both sides we get,

 $\sqrt[3]{{\mathrm{a}}^3}=\sqrt[3]{343}$

$=\sqrt[3]{7\times 7\times 7}$

$=\sqrt[3]{7^3}$

$=7$