Triangular Prism Volume

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Triangular Prism Volume


Triangular prism volume is the space occupied by this three dimensional object. To find the volume of a triangular prism, we need to find certain lengths of its edges.


Volume of a triangular prism worksheets - 1 




How to find volume of a triangular prism


If you know how to find the volume of a rectangular prism, then it is very easy to find the volume of the triangular prism. The volume of a triangular prism is the half the volume of a rectangular prism.


In case of a triangular prim volume, we always find the area of the triangular base and multiply it to the length of the prism (length of prism is distance between two triangular faces).





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Consider the rectangular prism at right which have length, breadth and hight as "L", "B" and "H" respectively. Then the volume of "V" of the rectangular prism can be found by using the following formula:


V = LBH


Hence the volume = length x width x height

Now it is very easy to find the volume of a triangular prism in relation to the volume of a rectangular prism.


If we divide the volume of a rectangular prism by 2, we obtain the volume of a triangular prism.


Trick to find the volume of a triangular prism:


To find the volume of a triangular prism, the trick is to locate one of the triangular faces. Once we found the triangular face, the next step is to find its area using its base and height. Make sure to pick the right numbers for measurements of height and base for that triangular face.


Once the area of one of the triangular faces is calculated the next step is to locate the second triangular face. The distance between these two faces is also known as length or height of the triangular prism. So, we need to locate the given measurement for the distance between two triangular faces, which is length of the prism.


Finally, multiply the area of the triangular base to the length of the prism to find its volume.


Finding volume of this shape is comparatively easier than finding its surface area. But, if kids can draw a net of the shape or can visualize each face individually, finding surface area of this solid becomes very easy too. Remember, volume of triangular prism is included in grade 8 math standards mostly.



Lessons to find the volume of a triangular prism:


Print the following lessons to understand how to find the volume of a triangular prism.


Lesson - 1            Lesson - 2   



How to find the volume of a triangular prism worksheets:  


Below are the key worksheets on finding the volume of different types of triangular prisms. Print these worksheets for your kids or students so that they can get better at finding volume of any sort of triangula prism.


Volume of a triangular prism worksheets - 1      Volume of a triangular prism worksheet - 2 


Volume of a triangular prism worksheets - 3      Volume of a triangular prism worksheet - 4



Alternate way to find the volume:

The following worksheets on finding the volume uses the differnt method which utilizes the area of the base of the prism. If kids have difficulty understanging the above method try the following worksheets and lessons:


Volume using area of the base worksheet - 1     Volume using area of the base worksheet - 2



Hence the key worksheets on finding the volume of a triangular prism. Hope kids will get much much better at finding triangular prism volume by doing all the above worksheets.





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