Volume of Triakis Tetrahedron given Pyramidal Edge Length Calculator

✖The Pyramidal Edge Length of Triakis Tetrahedron is the length of the line connecting any two adjacent vertices of pyramid of Triakis Tetrahedron.ⓘ Pyramidal Edge Length of Triakis Tetrahedron [l_e(Pyramid)]

+10%

-10%

✖Volume of Triakis Tetrahedron is the quantity of three dimensional space enclosed by the entire surface of Triakis Tetrahedron.ⓘ Volume of Triakis Tetrahedron given Pyramidal Edge Length [V]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Volume of Triakis Tetrahedron given Pyramidal Edge Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Triakis Tetrahedron = (3/20)*sqrt(2)*((5/3)*(Pyramidal Edge Length of Triakis Tetrahedron))^3
V = (3/20)*sqrt(2)*((5/3)*(l_e(Pyramid)))^3
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Volume of Triakis Tetrahedron - (Measured in Cubic Meter) - Volume of Triakis Tetrahedron is the quantity of three dimensional space enclosed by the entire surface of Triakis Tetrahedron.
Pyramidal Edge Length of Triakis Tetrahedron - (Measured in Meter) - The Pyramidal Edge Length of Triakis Tetrahedron is the length of the line connecting any two adjacent vertices of pyramid of Triakis Tetrahedron.

STEP 1: Convert Input(s) to Base Unit

Pyramidal Edge Length of Triakis Tetrahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (3/20)*sqrt(2)*((5/3)*(l_e(Pyramid)))^3 --> (3/20)*sqrt(2)*((5/3)*(10))^3

Evaluating ... ...

V = 982.092751647983

STEP 3: Convert Result to Output's Unit

982.092751647983 Cubic Meter --> No Conversion Required

FINAL ANSWER

982.092751647983 ≈ 982.0928 Cubic Meter <-- Volume of Triakis Tetrahedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » CatalanSolids » Triakis Tetrahedron » Volume of Triakis Tetrahedron » Volume of Triakis Tetrahedron given Pyramidal Edge Length

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

Anamika Mittal has verified this Calculator and 300+ more calculators!

< Volume of Triakis Tetrahedron Calculators

Volume of Triakis Tetrahedron given Total Surface Area

LaTeX Go Volume of Triakis Tetrahedron = (3/20)*sqrt(2)*((5/3)*(Total Surface Area of Triakis Tetrahedron/sqrt(11)))^(3/2)

Volume of Triakis Tetrahedron given Height

LaTeX Go Volume of Triakis Tetrahedron = (3/20)*sqrt(2)*((5/3)*(Height of Triakis Tetrahedron/sqrt(6)))^3

Volume of Triakis Tetrahedron given Pyramidal Edge Length

LaTeX Go Volume of Triakis Tetrahedron = (3/20)*sqrt(2)*((5/3)*(Pyramidal Edge Length of Triakis Tetrahedron))^3

Volume of Triakis Tetrahedron

LaTeX Go Volume of Triakis Tetrahedron = (3/20)*((Tetrahedral Edge Length of Triakis Tetrahedron)^3)*sqrt(2)

Volume of Triakis Tetrahedron given Pyramidal Edge Length Formula

LaTeX Go

Volume of Triakis Tetrahedron = (3/20)*sqrt(2)*((5/3)*(Pyramidal Edge Length of Triakis Tetrahedron))^3
V = (3/20)*sqrt(2)*((5/3)*(l_e(Pyramid)))^3

What is Triakis Tetrahedron?

The Triakis Tetrahedron can be seen as a tetrahedron with a triangular pyramid added to each face; that is, it is the Kleetope of the tetrahedron. It is very similar to the net for the 5-cell, as the net for a tetrahedron is a triangle with other triangles added to each edge, the net for the 5-cell a tetrahedron with pyramids attached to each face.

How to Calculate Volume of Triakis Tetrahedron given Pyramidal Edge Length?

Volume of Triakis Tetrahedron given Pyramidal Edge Length calculator uses Volume of Triakis Tetrahedron = (3/20)*sqrt(2)*((5/3)*(Pyramidal Edge Length of Triakis Tetrahedron))^3 to calculate the Volume of Triakis Tetrahedron, Volume of Triakis Tetrahedron given Pyramidal Edge Length formula is defined as the quantity of three-dimensional space enclosed by the entire surface of Triakis Tetrahedron, and calculated using the pyramidal edge length of Triakis Tetrahedron. Volume of Triakis Tetrahedron is denoted by V symbol.

How to calculate Volume of Triakis Tetrahedron given Pyramidal Edge Length using this online calculator? To use this online calculator for Volume of Triakis Tetrahedron given Pyramidal Edge Length, enter Pyramidal Edge Length of Triakis Tetrahedron (l_e(Pyramid)) and hit the calculate button. Here is how the Volume of Triakis Tetrahedron given Pyramidal Edge Length calculation can be explained with given input values -> 982.0928 = (3/20)*sqrt(2)*((5/3)*(10))^3.

FAQ

What is Volume of Triakis Tetrahedron given Pyramidal Edge Length?

Volume of Triakis Tetrahedron given Pyramidal Edge Length formula is defined as the quantity of three-dimensional space enclosed by the entire surface of Triakis Tetrahedron, and calculated using the pyramidal edge length of Triakis Tetrahedron and is represented as V = (3/20)*sqrt(2)*((5/3)*(l_e(Pyramid)))^3 or Volume of Triakis Tetrahedron = (3/20)*sqrt(2)*((5/3)*(Pyramidal Edge Length of Triakis Tetrahedron))^3. The Pyramidal Edge Length of Triakis Tetrahedron is the length of the line connecting any two adjacent vertices of pyramid of Triakis Tetrahedron.

How to calculate Volume of Triakis Tetrahedron given Pyramidal Edge Length?

Volume of Triakis Tetrahedron given Pyramidal Edge Length formula is defined as the quantity of three-dimensional space enclosed by the entire surface of Triakis Tetrahedron, and calculated using the pyramidal edge length of Triakis Tetrahedron is calculated using Volume of Triakis Tetrahedron = (3/20)*sqrt(2)*((5/3)*(Pyramidal Edge Length of Triakis Tetrahedron))^3. To calculate Volume of Triakis Tetrahedron given Pyramidal Edge Length, you need Pyramidal Edge Length of Triakis Tetrahedron (l_e(Pyramid)). With our tool, you need to enter the respective value for Pyramidal Edge Length of Triakis Tetrahedron and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Volume of Triakis Tetrahedron?

In this formula, Volume of Triakis Tetrahedron uses Pyramidal Edge Length of Triakis Tetrahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Volume of Triakis Tetrahedron = (3/20)*sqrt(2)*((5/3)*(Total Surface Area of Triakis Tetrahedron/sqrt(11)))^(3/2)
Volume of Triakis Tetrahedron = (3/20)*((Tetrahedral Edge Length of Triakis Tetrahedron)^3)*sqrt(2)
Volume of Triakis Tetrahedron = (3/20)*sqrt(2)*((5/3)*(Height of Triakis Tetrahedron/sqrt(6)))^3

Home

FREE PDFs

🔍 Search