70.0k views
24 votes
What is the volume of the following triangular prism?

4.5 cm
12 mm
7 cm
3.5 cm 3
18.9 cm 3
12 cm
13
37.8 cm 3

User Zachjs
by
3.2k points

1 Answer

1 vote

Answer:

Explanation:

In order to calculate the volume of a triangular prism you need 2 things:

The triangles area and the prism's height.

Any prism's volume can be calculated by multiplying its base area with its height.

The Area of a triangle can be calculated in different ways.

The most used and "normal" way is:

(width * height) / 2

Another way is by using herons formula, which looks like this:

a, b, c = different sides of the triangle (length)

s = (a + b + c) / 2

a =
√(s (s-a)(s-b)(s-c))

When you have the prism's base area (
b_(a)) you just have to multiply:


b_(a)*h=V

(V = volume)

If you have any questions, just ask them in the comments below.

Have a good day! (●'◡'●)