#### Answer

The volume of the cube is $\frac{8}{x^6y^3}$ meters cubed.

#### Work Step by Step

Each side of the cube is:
$\frac{2x^{-2}}{y}$
$\frac{2}{x^2y}$
$v=s^3$
$v=(\frac{2}{x^2y})^3$
$v=\frac{8}{x^6y^3}$
The volume of the cube is $\frac{8}{x^6y^3}$ meters cubed.