Volume of Triakis Tetrahedron given Height Calculator

✖Height of Triakis Tetrahedron is the vertical distance from any vertex of the Triakis Tetrahedron to the face which is directly opposite to that vertex.ⓘ Height of Triakis Tetrahedron [h]

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

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Volume of Triakis Tetrahedron given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Triakis Tetrahedron = (3/20)*sqrt(2)*((5/3)*(Height of Triakis Tetrahedron/sqrt(6)))^3
V = (3/20)*sqrt(2)*((5/3)*(h/sqrt(6)))^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.
Height of Triakis Tetrahedron - (Measured in Meter) - Height of Triakis Tetrahedron is the vertical distance from any vertex of the Triakis Tetrahedron to the face which is directly opposite to that vertex.

STEP 1: Convert Input(s) to Base Unit

Height of Triakis Tetrahedron: 25 Meter --> 25 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (3/20)*sqrt(2)*((5/3)*(h/sqrt(6)))^3 --> (3/20)*sqrt(2)*((5/3)*(25/sqrt(6)))^3

Evaluating ... ...

V = 1044.1085597324

STEP 3: Convert Result to Output's Unit

1044.1085597324 Cubic Meter --> No Conversion Required

FINAL ANSWER

1044.1085597324 ≈ 1044.109 Cubic Meter <-- Volume of Triakis Tetrahedron

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Vellore Institute of Technology (VIT), Bhopal

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< 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 Height Formula

LaTeX Go

Volume of Triakis Tetrahedron = (3/20)*sqrt(2)*((5/3)*(Height of Triakis Tetrahedron/sqrt(6)))^3
V = (3/20)*sqrt(2)*((5/3)*(h/sqrt(6)))^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 Height?

Volume of Triakis Tetrahedron given Height calculator uses Volume of Triakis Tetrahedron = (3/20)*sqrt(2)*((5/3)*(Height of Triakis Tetrahedron/sqrt(6)))^3 to calculate the Volume of Triakis Tetrahedron, Volume of Triakis Tetrahedron given Height formula is defined as the quantity of three-dimensional space enclosed by the entire surface of Triakis Tetrahedron, and calculated using the height of Triakis Tetrahedron. Volume of Triakis Tetrahedron is denoted by V symbol.

How to calculate Volume of Triakis Tetrahedron given Height using this online calculator? To use this online calculator for Volume of Triakis Tetrahedron given Height, enter Height of Triakis Tetrahedron (h) and hit the calculate button. Here is how the Volume of Triakis Tetrahedron given Height calculation can be explained with given input values -> 1044.109 = (3/20)*sqrt(2)*((5/3)*(25/sqrt(6)))^3.

FAQ

What is Volume of Triakis Tetrahedron given Height?

Volume of Triakis Tetrahedron given Height formula is defined as the quantity of three-dimensional space enclosed by the entire surface of Triakis Tetrahedron, and calculated using the height of Triakis Tetrahedron and is represented as V = (3/20)*sqrt(2)*((5/3)*(h/sqrt(6)))^3 or Volume of Triakis Tetrahedron = (3/20)*sqrt(2)*((5/3)*(Height of Triakis Tetrahedron/sqrt(6)))^3. Height of Triakis Tetrahedron is the vertical distance from any vertex of the Triakis Tetrahedron to the face which is directly opposite to that vertex.

How to calculate Volume of Triakis Tetrahedron given Height?

Volume of Triakis Tetrahedron given Height formula is defined as the quantity of three-dimensional space enclosed by the entire surface of Triakis Tetrahedron, and calculated using the height of Triakis Tetrahedron is calculated using Volume of Triakis Tetrahedron = (3/20)*sqrt(2)*((5/3)*(Height of Triakis Tetrahedron/sqrt(6)))^3. To calculate Volume of Triakis Tetrahedron given Height, you need Height of Triakis Tetrahedron (h). With our tool, you need to enter the respective value for Height 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 Height 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)*sqrt(2)*((5/3)*(Pyramidal Edge Length of Triakis Tetrahedron))^3
Volume of Triakis Tetrahedron = (3/20)*((Tetrahedral Edge Length of Triakis Tetrahedron)^3)*sqrt(2)

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