Struggling to find the actual volume of a triangular prism 🌈⃤ —to determine how much space it may occupy? If so, then you may not know that it’s the easiest practice you can do in geometry.
But… how to find volume of a triangular prism?
Are you interested in learning about the complete process? If yes, then keep reading because I’ve compiled a comprehensive guide for grade 6 students.
So, Let’s Get Going!
What is a Triangular Prism?
A triangular prism is a polyhedron 3D shape for kids that is connected by 3 rectangles and is consisted of two triangular ends.
Most importantly, the triangular ends of a Triangular prism should be exactly the same (congruent), then it’s considered what it is called. Further, it has 5 faces, 6 vertices, and 9 edges that shape the prism as triangular with each plane side.
The formula for finding the volume of a Triangular Prism is:
V = Base Area×Height of the Prism
Volume = 1/4h(﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4)1/2
How to Find Volume of a Triangular Prism Grade 6 Tutorial
Here are the easy-to-follow steps on how you can configure the volume of a triangular prism for kids.
Sometimes, you may have all the crucial values, and you just have to put them in the formula to find the volume. Here, I’ve put together each step:
Firstly, you need to find the area of the triangular prism to proceed with the procedure. Use this formula: S = (2×Base Area) + (Base perimeter×height) to find the area.
S = (2×Base Area) + (Base perimeter×height)
Sometimes, the height of a triangular shape is provided by your teachers or instructors. Usually, you need to find or assume the height of the shape. But… wait, your real task is to find the volume, so you shouldn’t assume the height.
Therefore, you have to perform a few steps using the formula:
h = V/Ab
Finally, you have all your needed values. You just have an unknown volume of a triangular shape for which you can use Heron’s formula:
V = ¼h (﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4)1/2
Let’s assume simple values and try to find the Volume:
- a = 2
- b = 3
- c = 2
- h = 5
Now, implement the Heron’s formula: V = ¼h (﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4)1/2
V = ¼h (63)
Base Area = ¼h × √63.000000 = h × 1.984313
V = 5 × 1.984313
Volume = 9.92 cubic meters
Triangular Prism Calculator to Find Its Volume
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Advanced volume calculation using Heron’s formula
Triangular prism
Before You Go
You have made it through… 😃
As you have the guide on finding the volume of a triangular shape, you can use it to find the volume of any relevant triangular shape.
Further, WebTech Solutions coders prepared a precise calculator that works automatically to find the volume of a triangular shape.
That’s an easy way for you to get your answer in your hands and crack the test with effective preparation.
People Also Ask
You can find the volume of the triangular shape without height by using the Volume = base area × length formula.
You are free to get the actual volume of a triangular prism with base area by using the V=ABh formula.
The process of finding the volume of a right triangular prism is easy by using the Volume = (1/2×base×height)×length formula.