V = 120 in^3
Here is why:
The volume formula for a pyramid is:
[tex]V=\frac{1}{3}Bh[/tex]
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:
[tex]A=\frac{1}{2}bh[/tex]
Plug in the numbers.
[tex]A=\frac{1}{2}*9*10[/tex]
A = 45
Now we have found the area of B, we can plug it into the volume formula for the pyramid.
[tex]V=\frac{1}{3}*45*8[/tex]
V = 120 in^3
