Answer:one-half x units
Step-by-step explanation:
Given
Prism has a square base with length [tex]x\ units[/tex]
If the volume of prism [tex]V=\frac{1}{2}x^3\ units[/tex]
We know
[tex]Volume=base\ area\times height[/tex]
Base area [tex]=x\times x=x^2\ units[/tex]
[tex]height=\frac{Volume}{area}[/tex]
[tex]height=\frac{\frac{1}{2}x^3}{x^2}[/tex]
[tex]height=\frac{x}{2}\ units[/tex]
