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