To answer this question we will use the following formula to compute the volume of a rectangular prism:
[tex]Volume=length\times width\operatorname{\times}height.[/tex]
Using the given diagram we get:
[tex]10.125ft^3=1.5ft\operatorname{\times}1.5ft\operatorname{\times}xft.[/tex]
Simplifying the above result we get:
[tex]10.125ft^3=2.25xft^3.[/tex]
Dividing the above result by 2.25 cubic feet we get:
[tex]\begin{gathered} \frac{10.125ft^3}{2.25ft^3}=\frac{2.25xft^3}{2.25ft^3}, \\ 4.5=x. \end{gathered}[/tex]
Answer: Option B.
