EXPLANATION:
GIVEN;
We are given a rectangular prism with the following dimensions;
[tex]\begin{gathered} length=11in \\ width=3\frac{1}{4}in \\ height=1\frac{1}{4}in \end{gathered}[/tex]Required;
We are required to calculate the volume of the rectangular prism.
Step-by-step solution;
To calculate the volume of a rectangular prism, we shall use the formula;
[tex]Volume=l\times w\times h[/tex]We can now convert the parts in mixed fractions as shown below;
[tex]\begin{gathered} w=3\frac{1}{4}=\frac{13}{4} \\ \\ h=1\frac{1}{4}=\frac{5}{4} \end{gathered}[/tex]We now substitute the values into the formula;
[tex]\begin{gathered} Volume=\frac{11}{1}\times\frac{13}{4}\times\frac{5}{4} \\ \\ Volume=\frac{715}{16} \\ \\ Volume=44\frac{11}{16} \end{gathered}[/tex]Therefore,
ANSWER:
The volume is;
[tex]Volume=44\frac{11}{16}in^3[/tex]