If the length, breadth, and height of a cuboid are respectively 36mn², $\frac{2}{9}{l}^{2}m$, and r³, then what is the volume of the cuboid?

Length = 36 mn²

Breadth = $\frac{2}{9}{l}^{2}m$

Height = r³

The volume of the cuboid is given by (length × breadth × height).

∴ The volume of cuboid = $36m{n}^2\times \frac{2}{9}{l}^{2}m\times r^3$

$=\left(36\times \frac{2}{9}\times 1\right)\times \left(m{n}^2\times l^{2}m\times r^3\right)$

$=8l^2{m}^2{n}^2{r}^3$