Question

What is the volume of a triangular prism that has a height of 9 meters and a base that with the following dimensions? V = a0 m3

Answer 1

252

Explanation:

Answer 2

`252m^3`

Explanation:

A solid having a triangular base is what we call a triangular prism. For every prism, its volume is always equal to the area of its base times its height. In other words:

`V=A_(b)* H`

We know that:

`H=9m`

What is the area of its base? From the figure we can know this:

`A_(b)=(bh)/(2) \\ \\ Where: \\ \\ b=14m \\ \\ h=4m \\ \\ A_(b)=(14(4))/(2) \\ \\ A_(b)=(56)/(2)=28m`

Finally:

`V=28* 9 \\ \\ \boxed{V=252m^3}`