Answer:
[tex]Height=10\, inches[/tex]
Step-by-step explanation:
Volume of a Rectangular Prism is :
[tex]Length\times Width \times Height[/tex]
For,
[tex]Volume=200\,inch^3\\\\Length= 8\,inches\\\\Width=2\dfrac{1}{2}=\dfrac{5}{2}\\\\ Height=?\\[/tex]
[tex]200=8\times \dfrac{5}{2}\times Height\\\\ 200=4\times 5\times Height\\\\200=20\times Height\\\\Height=\dfrac{200}{20}\\\\ Height=10\,inches[/tex]
The Height of the rectangular prism is: [tex]10\,inches[/tex]
