Height of Triakis Tetrahedron given Surface to Volume Ratio Calculator

✖Surface to Volume Ratio of Triakis Tetrahedron is what part of or fraction of total volume of Triakis Tetrahedron is the total surface area.ⓘ Surface to Volume Ratio of Triakis Tetrahedron [R_A/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 Surface to Volume Ratio [h]

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Height of Triakis Tetrahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Triakis Tetrahedron = ((12/5)*(sqrt(33)))/Surface to Volume Ratio of Triakis Tetrahedron
h = ((12/5)*(sqrt(33)))/R_A/V
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.
Surface to Volume Ratio of Triakis Tetrahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Triakis Tetrahedron is what part of or fraction of total volume of Triakis Tetrahedron is the total surface area.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Triakis Tetrahedron: 0.5 1 per Meter --> 0.5 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = ((12/5)*(sqrt(33)))/R_A/V --> ((12/5)*(sqrt(33)))/0.5

Evaluating ... ...

h = 27.5739007033825

STEP 3: Convert Result to Output's Unit

27.5739007033825 Meter --> No Conversion Required

FINAL ANSWER

27.5739007033825 ≈ 27.5739 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 Surface to Volume Ratio Formula

LaTeX Go

Height of Triakis Tetrahedron = ((12/5)*(sqrt(33)))/Surface to Volume Ratio of Triakis Tetrahedron
h = ((12/5)*(sqrt(33)))/R_A/V

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 Surface to Volume Ratio?

Height of Triakis Tetrahedron given Surface to Volume Ratio calculator uses Height of Triakis Tetrahedron = ((12/5)*(sqrt(33)))/Surface to Volume Ratio of Triakis Tetrahedron to calculate the Height of Triakis Tetrahedron, Height of Triakis Tetrahedron given Surface to Volume Ratio formula is defined as the measurement of Triakis Tetrahedron from head to foot or from base to top, calculated using surface to volume ratio of Triakis Tetrahedron. Height of Triakis Tetrahedron is denoted by h symbol.

How to calculate Height of Triakis Tetrahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Height of Triakis Tetrahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Triakis Tetrahedron (R_A/V) and hit the calculate button. Here is how the Height of Triakis Tetrahedron given Surface to Volume Ratio calculation can be explained with given input values -> 27.5739 = ((12/5)*(sqrt(33)))/0.5.

FAQ

What is Height of Triakis Tetrahedron given Surface to Volume Ratio?

Height of Triakis Tetrahedron given Surface to Volume Ratio formula is defined as the measurement of Triakis Tetrahedron from head to foot or from base to top, calculated using surface to volume ratio of Triakis Tetrahedron and is represented as h = ((12/5)*(sqrt(33)))/R_A/V or Height of Triakis Tetrahedron = ((12/5)*(sqrt(33)))/Surface to Volume Ratio of Triakis Tetrahedron. Surface to Volume Ratio of Triakis Tetrahedron is what part of or fraction of total volume of Triakis Tetrahedron is the total surface area.

How to calculate Height of Triakis Tetrahedron given Surface to Volume Ratio?

Height of Triakis Tetrahedron given Surface to Volume Ratio formula is defined as the measurement of Triakis Tetrahedron from head to foot or from base to top, calculated using surface to volume ratio of Triakis Tetrahedron is calculated using Height of Triakis Tetrahedron = ((12/5)*(sqrt(33)))/Surface to Volume Ratio of Triakis Tetrahedron. To calculate Height of Triakis Tetrahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Triakis Tetrahedron (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio 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 Surface to Volume Ratio 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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