Question

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

Solution

## Given, volume of a cuboidal box $$V=\dfrac{24389}{216}m^3$$.We know, volume of a cube $$V=a^3$$.Then, $$a^3=\dfrac{24389}{216}$$$$\implies$$ $$a^3=(\dfrac{29}{6})^3$$$$\implies$$ $$a=\dfrac{29}{6}m$$.Therefore, side of the cube $$a=\dfrac{29}{6}m$$.Mathematics

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