The volume of a prism = the area of the base × the prism's height
[tex]V=Bh[/tex]
Our base is a triangle, which has this area formula:
The area of a triangle = 1/2 × the triangle's base × the triangle's height
[tex]A=\frac12bh[/tex]
Let's plug in 6 for the base of our triangle and 5.2 for its height.
[tex]A=\frac12\times6\times5.2[/tex]
Crunch some numbers...
[tex]A=15.6[/tex]
Now that we know the area of the base, let's find the volume of our prism.
[tex]V=Bh[/tex]
Let's plug in 15.6 for the area of the base and 9 for the height of the prism.
[tex]V=15.6\times9[/tex]
Crunch some more numbers...
[tex]V=140.4[/tex]
Remember to add your units!
[tex]\boxed{V=140.4\ m^3}[/tex]
