The formula of the volume of the rectangular prism:
V = length × width × height
We have: [tex]l=\dfrac{5}{2}ft\\\\w=\dfrac{9}{6}ft\\\\h=\dfrac{2}{3}ft\\\\V=l\cdot w\cdot h=\dfrac{5}{2}\cdot\dfrac{9}{6}\cdot\dfrac{2}{3}\\\\=\dfrac{5}{2}\cdot\dfrac{1}{1}\cdot\dfrac{1}{1}=\dfrac{5}{2}=2.5ft.^3[/tex]