Question

The volume of cube is $\frac{24389}{216}{m}^3$.The side of Cube is $\frac{29}{m}$. Find the value of $m$

• A. $3$
• B. $4$
• C. $5$
• D. $6$

Answer 1

The correct option is D $6$

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

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

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

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

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

$⟹m^3=216$

$⟹m^3=6^3$

$⟹m=6$