V = 120 in^3
Here is why:
The volume formula for a pyramid is:
![V=(1)/(3)Bh](https://img.qammunity.org/2021/formulas/mathematics/high-school/beoskv44eg7c36vst60v5ltruk9i44sx25.png)
The B stands for the area of the base, which in this case is a right triangle. We will find the area of the right triangle first, then plug it into the equation.
The area formula for a triangle is:
![A=(1)/(2)bh](https://img.qammunity.org/2021/formulas/mathematics/high-school/pmi4atjsmn0794m9nb42tnma5o4ubiy66a.png)
Plug in the numbers.
![A=(1)/(2)*9*10](https://img.qammunity.org/2021/formulas/mathematics/high-school/xhmi6cm6rxq3udfll9efp4nn2qh2ivicte.png)
A = 45
Now we have found the area of B, we can plug it into the volume formula for the pyramid.
![V=(1)/(3)*45*8](https://img.qammunity.org/2021/formulas/mathematics/high-school/r957hs6gwlkch6rj987lvowiht6ybuvobe.png)
V = 120 in^3