Pyramidal Edge Length of Triakis Octahedron given Surface to Volume Ratio Calculator

✖Surface to Volume Ratio of Triakis Octahedron is the numerical ratio of the total surface area of the Triakis Octahedron to the volume of the Triakis Octahedron.ⓘ Surface to Volume Ratio of Triakis Octahedron [R_A/V]

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✖Pyramidal Edge Length of Triakis Octahedron is the length of the line connecting any two adjacent vertices of pyramid of Triakis Octahedron.ⓘ Pyramidal Edge Length of Triakis Octahedron given Surface to Volume Ratio [l_e(Pyramid)]

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Pyramidal Edge Length of Triakis Octahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pyramidal Edge Length of Triakis Octahedron = (2-sqrt(2))*((6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*Surface to Volume Ratio of Triakis Octahedron))
l_e(Pyramid) = (2-sqrt(2))*((6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*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

Pyramidal Edge Length of Triakis Octahedron - (Measured in Meter) - Pyramidal Edge Length of Triakis Octahedron is the length of the line connecting any two adjacent vertices of pyramid of Triakis Octahedron.
Surface to Volume Ratio of Triakis Octahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Triakis Octahedron is the numerical ratio of the total surface area of the Triakis Octahedron to the volume of the Triakis Octahedron.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Triakis Octahedron: 0.6 1 per Meter --> 0.6 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Pyramid) = (2-sqrt(2))*((6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*R_A/V)) --> (2-sqrt(2))*((6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*0.6))

Evaluating ... ...

l_e(Pyramid) = 6.10395774912047

STEP 3: Convert Result to Output's Unit

6.10395774912047 Meter --> No Conversion Required

FINAL ANSWER

6.10395774912047 ≈ 6.103958 Meter <-- Pyramidal Edge Length of Triakis Octahedron

(Calculation completed in 00.004 seconds)

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< Pyramidal Edge Length of Triakis Octahedron Calculators

Pyramidal Edge Length of Triakis Octahedron given Surface to Volume Ratio

LaTeX Go Pyramidal Edge Length of Triakis Octahedron = (2-sqrt(2))*((6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*Surface to Volume Ratio of Triakis Octahedron))

Pyramidal Edge Length of Triakis Octahedron given Insphere Radius

LaTeX Go Pyramidal Edge Length of Triakis Octahedron = (2-sqrt(2))*((Insphere Radius of Triakis Octahedron)/(sqrt((5+(2*sqrt(2)))/34)))

Pyramidal Edge Length of Triakis Octahedron given Volume

LaTeX Go Pyramidal Edge Length of Triakis Octahedron = (2-sqrt(2))*((Volume of Triakis Octahedron)/(2-sqrt(2)))^(1/3)

Pyramidal Edge Length of Triakis Octahedron given Midsphere Radius

LaTeX Go Pyramidal Edge Length of Triakis Octahedron = (2-sqrt(2))*2*Midsphere Radius of Triakis Octahedron

Pyramidal Edge Length of Triakis Octahedron given Surface to Volume Ratio Formula

LaTeX Go

What is Triakis Octahedron?

In geometry, a Triakis Octahedron (or trigonal trisoctahedron or kisoctahedron) is an Archimedean dual solid, or a Catalan solid. Its dual is the truncated cube. It is a regular octahedron with matching regular triangular pyramids attached to its faces. It has eight vertices with three edges and six vertices with eight edges. Triakis Octahedron has 24 faces, 36 edges and 14 vertices.

How to Calculate Pyramidal Edge Length of Triakis Octahedron given Surface to Volume Ratio?

Pyramidal Edge Length of Triakis Octahedron given Surface to Volume Ratio calculator uses Pyramidal Edge Length of Triakis Octahedron = (2-sqrt(2))*((6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*Surface to Volume Ratio of Triakis Octahedron)) to calculate the Pyramidal Edge Length of Triakis Octahedron, Pyramidal Edge Length of Triakis Octahedron given Surface to Volume Ratio formula is defined as the length of the line connecting any two adjacent vertices of the pyramid of Triakis Octahedron, calculated using the surface to volume ratio of the Triakis Octahedron. Pyramidal Edge Length of Triakis Octahedron is denoted by l_e(Pyramid) symbol.

How to calculate Pyramidal Edge Length of Triakis Octahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Pyramidal Edge Length of Triakis Octahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Triakis Octahedron (R_A/V) and hit the calculate button. Here is how the Pyramidal Edge Length of Triakis Octahedron given Surface to Volume Ratio calculation can be explained with given input values -> 6.103958 = (2-sqrt(2))*((6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*0.6)).

FAQ

What is Pyramidal Edge Length of Triakis Octahedron given Surface to Volume Ratio?

Pyramidal Edge Length of Triakis Octahedron given Surface to Volume Ratio formula is defined as the length of the line connecting any two adjacent vertices of the pyramid of Triakis Octahedron, calculated using the surface to volume ratio of the Triakis Octahedron and is represented as l_e(Pyramid) = (2-sqrt(2))*((6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*R_A/V)) or Pyramidal Edge Length of Triakis Octahedron = (2-sqrt(2))*((6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*Surface to Volume Ratio of Triakis Octahedron)). Surface to Volume Ratio of Triakis Octahedron is the numerical ratio of the total surface area of the Triakis Octahedron to the volume of the Triakis Octahedron.

How to calculate Pyramidal Edge Length of Triakis Octahedron given Surface to Volume Ratio?

Pyramidal Edge Length of Triakis Octahedron given Surface to Volume Ratio formula is defined as the length of the line connecting any two adjacent vertices of the pyramid of Triakis Octahedron, calculated using the surface to volume ratio of the Triakis Octahedron is calculated using Pyramidal Edge Length of Triakis Octahedron = (2-sqrt(2))*((6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*Surface to Volume Ratio of Triakis Octahedron)). To calculate Pyramidal Edge Length of Triakis Octahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Triakis Octahedron (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio of Triakis Octahedron 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 Pyramidal Edge Length of Triakis Octahedron?

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

Pyramidal Edge Length of Triakis Octahedron = (2-sqrt(2))*((Insphere Radius of Triakis Octahedron)/(sqrt((5+(2*sqrt(2)))/34)))
Pyramidal Edge Length of Triakis Octahedron = (2-sqrt(2))*2*Midsphere Radius of Triakis Octahedron
Pyramidal Edge Length of Triakis Octahedron = (2-sqrt(2))*((Volume of Triakis Octahedron)/(2-sqrt(2)))^(1/3)

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