Height of Triakis Tetrahedron given Volume Calculator

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

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✖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 given Volume [h]

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Height of Triakis Tetrahedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Triakis Tetrahedron = (3/5)*(sqrt(6))*(((20*Volume of Triakis Tetrahedron)/(3*sqrt(2)))^(1/3))
h = (3/5)*(sqrt(6))*(((20*V)/(3*sqrt(2)))^(1/3))
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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Volume of Triakis Tetrahedron: 980 Cubic Meter --> 980 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = (3/5)*(sqrt(6))*(((20*V)/(3*sqrt(2)))^(1/3)) --> (3/5)*(sqrt(6))*(((20*980)/(3*sqrt(2)))^(1/3))

Evaluating ... ...

h = 24.477486244272

STEP 3: Convert Result to Output's Unit

24.477486244272 Meter --> No Conversion Required

FINAL ANSWER

24.477486244272 ≈ 24.47749 Meter <-- Height of Triakis Tetrahedron

(Calculation completed in 00.004 seconds)

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< Height of Triakis Tetrahedron Calculators

Height of Triakis Tetrahedron given Total Surface Area

LaTeX Go Height of Triakis Tetrahedron = sqrt((18*Total Surface Area of Triakis Tetrahedron)/(5*sqrt(11)))

Height of Triakis Tetrahedron

LaTeX Go Height of Triakis Tetrahedron = ((3*sqrt(6))/5)*Tetrahedral Edge Length of Triakis Tetrahedron

Height of Triakis Tetrahedron given Insphere Radius

LaTeX Go Height of Triakis Tetrahedron = (4/5)*(sqrt(33))*Insphere Radius of Triakis Tetrahedron

Height of Triakis Tetrahedron given Pyramidal Edge Length

LaTeX Go Height of Triakis Tetrahedron = sqrt(6)*Pyramidal Edge Length of Triakis Tetrahedron

Height of Triakis Tetrahedron given Volume Formula

LaTeX Go

Height of Triakis Tetrahedron = (3/5)*(sqrt(6))*(((20*Volume of Triakis Tetrahedron)/(3*sqrt(2)))^(1/3))
h = (3/5)*(sqrt(6))*(((20*V)/(3*sqrt(2)))^(1/3))

What is Triakis Tetrahedron?

In geometry, a Triakis Tetrahedron (or kistetrahedron) is a Catalan solid with 12 faces. Each Catalan solid is the dual of an Archimedean solid. The dual of the Triakis Tetrahedron is the truncated 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 Height of Triakis Tetrahedron given Volume?

Height of Triakis Tetrahedron given Volume calculator uses Height of Triakis Tetrahedron = (3/5)*(sqrt(6))*(((20*Volume of Triakis Tetrahedron)/(3*sqrt(2)))^(1/3)) to calculate the Height of Triakis Tetrahedron, Height of Triakis Tetrahedron given Volume formula is defined as the measurement of Triakis Tetrahedron from head to foot or from base to top, calculated using volume of Triakis Tetrahedron. Height of Triakis Tetrahedron is denoted by h symbol.

How to calculate Height of Triakis Tetrahedron given Volume using this online calculator? To use this online calculator for Height of Triakis Tetrahedron given Volume, enter Volume of Triakis Tetrahedron (V) and hit the calculate button. Here is how the Height of Triakis Tetrahedron given Volume calculation can be explained with given input values -> 24.47749 = (3/5)*(sqrt(6))*(((20*980)/(3*sqrt(2)))^(1/3)).

FAQ

What is Height of Triakis Tetrahedron given Volume?

Height of Triakis Tetrahedron given Volume formula is defined as the measurement of Triakis Tetrahedron from head to foot or from base to top, calculated using volume of Triakis Tetrahedron and is represented as h = (3/5)*(sqrt(6))*(((20*V)/(3*sqrt(2)))^(1/3)) or Height of Triakis Tetrahedron = (3/5)*(sqrt(6))*(((20*Volume of Triakis Tetrahedron)/(3*sqrt(2)))^(1/3)). Volume of Triakis Tetrahedron is the quantity of three dimensional space enclosed by the entire surface of Triakis Tetrahedron.

How to calculate Height of Triakis Tetrahedron given Volume?

Height of Triakis Tetrahedron given Volume formula is defined as the measurement of Triakis Tetrahedron from head to foot or from base to top, calculated using volume of Triakis Tetrahedron is calculated using Height of Triakis Tetrahedron = (3/5)*(sqrt(6))*(((20*Volume of Triakis Tetrahedron)/(3*sqrt(2)))^(1/3)). To calculate Height of Triakis Tetrahedron given Volume, you need Volume of Triakis Tetrahedron (V). With our tool, you need to enter the respective value for Volume 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 Height of Triakis Tetrahedron?

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

Height of Triakis Tetrahedron = sqrt(6)*Pyramidal Edge Length of Triakis Tetrahedron
Height of Triakis Tetrahedron = ((3*sqrt(6))/5)*Tetrahedral Edge Length of Triakis Tetrahedron
Height of Triakis Tetrahedron = sqrt((18*Total Surface Area of Triakis Tetrahedron)/(5*sqrt(11)))

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