Question

If the side of a cube whose volume of is $\frac{24389}{216}{m}^3$ is $\frac{29}{m}$.Find $m$

Answer 1

The volume of the cube is $\frac{24389}{216}{m}^3$

The side of Cube is $\frac{29}{m}$

The volume of the cube is calculated by $a^3$

$⟹{\left(\frac{29}{m}\right)}^3=\frac{24389}{216}$

$⟹\frac{24389}{m^3}=\frac{24389}{216}$

$⟹m^6=216$

$⟹m^3=6^3$

$⟹m=6$