Answer:
[tex]h=\frac{1}{2}x[/tex]
Step-by-step explanation:
The volume of the mentioned object is
[tex]V=B \times h[/tex]
Where [tex]B[/tex] is the base area, which is defined [tex]B=x^{2}[/tex], because the base is a square which side is [tex]x[/tex] units long.
Additionally, we know that the volume of the object is
[tex]V=\frac{1}{2}x^{3}[/tex]
Replacing the first expression and the volume of the base, we have
[tex]x^{2} \times h=\frac{1}{2}x^{3}\\ h=\frac{1}{2}x[/tex]
Therefore, the expression that represents the height of the volume is
[tex]h=\frac{1}{2}x[/tex]
