Answer: [tex]\frac{385}{4}\ in.^3[/tex]
Step-by-step explanation:
Given
Length of prism [tex]L=3\ \frac{1}{2}=\frac{7}{2}\ in.[/tex]
Width of prism [tex]w=5\ in.[/tex]
Height of prism [tex]h=\frac{11}{2}\ in.[/tex]
The volume of a rectangular prism is
[tex]\Rightarrow V=L\times w\times h[/tex]
Putting values
[tex]\Rightarrow V=\frac{7}{2}\times 5\times \frac{11}{2}\\\\\Rightarrow V=\frac{385}{4}\ in.^3[/tex]
The volume of prism is [tex]\frac{385}{4}\ in.^3[/tex]