The volume of the rectangular prism = 47.5 ft³
Explanation:The volume of a rectangular prism is given as:
Volume = Length x Width x Height
The dimension of the given rectangular prism is:
[tex]\begin{gathered} 2\frac{1}{2}ft\times4ft\times4\frac{3}{4}ft \\ \frac{5}{2}ft\times4ft\times\frac{19}{4}ft \\ \end{gathered}[/tex]The volume of the rectangular prism is therefore calculated as:
[tex]\begin{gathered} \text{Volume = }\frac{5}{2}\times4\times\frac{19}{4} \\ \text{Volume =2.5 }\times19 \\ \text{Volume = }47.5ft^3 \end{gathered}[/tex]Therefore, the volume of the rectangular prism = 47.5 ft³