Question

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?

Answer 1

The volume of any prism is just `bh`

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

`1/2 * bh = 1/2 * 3*4`

This would be `6`.

Therefore, we found the base of the prism

Now we are also given the height, which is `7`

We have all of our components.

`6*7 = 42`
And we are done.