Given the volume of a rectangular based pyramid as;
[tex]V=\frac{1}{3}lbh\Rightarrow\begin{cases}l=\text{length} \\ b=\text{breadth} \\ h=\text{height}\end{cases}[/tex]Given the following parameters
[tex]\begin{gathered} l=9in \\ b=8in \\ h=7in \end{gathered}[/tex]Substitute the above values in the volume formula
[tex]\begin{gathered} V=\frac{1}{3}\times9\times8\times7 \\ V=\frac{504}{3} \\ V=168in^3 \end{gathered}[/tex]Hence, the volume of the pyramid with the rectangle base is 168 in³