[tex]75\imaginaryI n^3[/tex]
1) To find the Volume of a pyramid, we need to resort to one formula:
[tex]V=\frac{1}{3}\cdot B_A\cdot h[/tex]
2) Note that the base of this pyramid is a square whose area is given through this formula:
[tex]\begin{gathered} A=s^2 \\ A=5^2=25 \end{gathered}[/tex]
Now that we know that the Base area is 25 in² then we can plug it into the formula for the Volume since the height is already known from the start.
[tex]\begin{gathered} V=\frac{1}{3}\times25\times9 \\ \\ V=\frac{225}{3} \\ \\ V=75\:in^3 \end{gathered}[/tex]
Note that volumes are given in cubic units.
