Question

Find the side of a cube whose volume is $\frac{24389}{216}{m}^3$.

Answer 1

Given, volume of a cuboidal box $V=\frac{24389}{216}{m}^3$.

We know, volume of a cube $V=a^3$.

Then, $a^3=\frac{24389}{216}$

$⟹$ $a^3=(\frac{29}{6}{)}^3$

$⟹$ $a=\frac{29}{6}m$.

Therefore, side of the cube $a=\frac{29}{6}m$.