Volume of a triangular prism
Definition:
The number of cubic units to exactly fill a triangular
prism
Try this
Change the height and dimensions of the triangular prism by dragging the orange dots. Note how the volume is calculated.
How to find the volume of a triangular prism
Recall that a
prism
has two congruent, parallel faces called the bases of the prism.
The volume of any prism can be found by multiplying the area of one of the bases by its height.
In the case of a triangular prism, each base is a triangle.
As a formula
where:
a is the area of one triangular end face.
h is the height.
There are various ways to find the area of the triangle, use whichever method work with what you are given. In the above animation, the three sides are given, so here you would use Heron's Formula. But any method will do  below is a list of methods:
Methods for finding the triangle area
Things to try
 Drag the three orange dots and note how the volume is calculated
 Click "hide details", then resize the prism by dragging the three orange dots
 Calculate the volume yourself
 Click "show details" to check your answer
Units
Remember that the dimensions and volume will be in the same units.
So if the lengths are in centimeters for example, then the volume will be in cubic centimeters (cc).
While you are here..
... I have a small favor to ask. Over the years we have used advertising to support the site so it can remain free for everyone.
However, advertising revenue is falling and I have always hated the ads. So, would you go to Patreon and become a patron of the site?
When we reach the goal I will remove all advertising from the site.
It only takes a minute and any amount would be greatly appreciated.
Thank you for considering it! – John Page
Become a patron of the site at patreon.com/mathopenref
Related topics
(C) 2011 Copyright Math Open Reference. All rights reserved
