# Each base of a triangular prism is a right triangle with side lengths 3 in., 4 in., and 5 in. The height of the prism is 7 in. What is the volume of the triangular prism?

##### 1 Answer

Feb 26, 2016

The volume of any prism is just

So first we find the area of the base.

Since this is a 3-4-5 right triangle, we just multiply the base and height. Since 5 is the hypotenuse, we do the area formula for the triangle

This would be

Therefore, we found the base of the prism

Now we are also given the height, which is

We have all of our components.

And we are done.