By formula the volume of a cube is given as;
[tex]\begin{gathered} \text{V = BA}\times H \\ \text{Where V=volume} \\ BA=\text{base area =area of square = L}\times L \\ H=\text{height = length of the edge} \\ L=\text{length of the base shape.} \end{gathered}[/tex][tex]\begin{gathered} \text{where V=125x}^3y^3 \\ BA=L^2=25x^2y^2 \\ H=\text{ ?} \end{gathered}[/tex]
Substituting these values into the formula above, we get
[tex]\begin{gathered} 125x^3y^3=25x^2y^2H \\ \text{Dividing both sides by 25x}^2y^2\text{ , we get} \\ H=\frac{125x^3y^3}{25x^2y^2}=5xy \\ H=5xy\text{ units} \end{gathered}[/tex]
Hence, the correct answer is 5xy units.
