Question

The volume of a cubical box is $101$ $\frac{459}{729}{m}^3$. Find the length of each side of box?

Answer 1

Volume of cuboid box $={101}_{729}^{459}{m}^3=\frac{74088}{729}m$

$\Rightarrow {\left(Side\right)}^3=\frac{74088}{729}\Rightarrow Side=\sqrt[3]{3\frac{74088}{729}}=\frac{42}{9}=4_9^6=4_3^{2}m$

Edge of box $=4_3^{2}m$