Given:
The dimensions of the prism are given as,
![\begin{gathered} l=4ft \\ b=2(1)/(2)=(5)/(2)ft \\ h=4(3)/(4)=(19)/(4)ft \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/9x239vw3xt1egl571j9b6irn0agn1nxmxx.png)
The objective is to find the volume of the prism.
Step-by-step explanation:
The general formula to find the volume of the prism is,
![V=l* b* h\text{ . . . . . . (1)}](https://img.qammunity.org/2023/formulas/mathematics/high-school/wg1kdwx22gijgj7p4e4qc5klhoaongo43k.png)
To find volume:
On plugging the given values in equation (1),
![\begin{gathered} V=4*(5)/(2)*(19)/(4) \\ =47.5ft^3 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/wh7wlh30hb708z360ytbjbfu701oqr1qix.png)
Hence, the volume of the prism is 47.5 ft³.