Surface to Volume Ratio of Triakis Octahedron given Insphere Radius Calculator

✖Insphere Radius of Triakis Octahedron is the radius of the sphere that is contained by the Triakis Octahedron in such a way that all the faces are touching the sphere.ⓘ Insphere Radius of Triakis Octahedron [r_i]

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✖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 given Insphere Radius [R_A/V]

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Surface to Volume Ratio of Triakis Octahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Triakis Octahedron = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*(Insphere Radius of Triakis Octahedron/(sqrt((5+(2*sqrt(2)))/34))))
R_A/V = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*(r_i/(sqrt((5+(2*sqrt(2)))/34))))
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

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.
Insphere Radius of Triakis Octahedron - (Measured in Meter) - Insphere Radius of Triakis Octahedron is the radius of the sphere that is contained by the Triakis Octahedron in such a way that all the faces are touching the sphere.

STEP 1: Convert Input(s) to Base Unit

Insphere Radius of Triakis Octahedron: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*(r_i/(sqrt((5+(2*sqrt(2)))/34)))) --> (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*(4/(sqrt((5+(2*sqrt(2)))/34))))

Evaluating ... ...

R_A/V = 0.749999999999998

STEP 3: Convert Result to Output's Unit

0.749999999999998 1 per Meter --> No Conversion Required

FINAL ANSWER

0.749999999999998 ≈ 0.75 1 per Meter <-- Surface to Volume Ratio of Triakis Octahedron

(Calculation completed in 00.006 seconds)

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< Surface to Volume Ratio of Triakis Octahedron Calculators

Surface to Volume Ratio of Triakis Octahedron given Total Surface Area

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

Surface to Volume Ratio of Triakis Octahedron given Insphere Radius

LaTeX Go Surface to Volume Ratio of Triakis Octahedron = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*(Insphere Radius of Triakis Octahedron/(sqrt((5+(2*sqrt(2)))/34))))

Surface to Volume Ratio of Triakis Octahedron given Volume

LaTeX Go Surface to Volume Ratio of Triakis Octahedron = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*(Volume of Triakis Octahedron/(2-sqrt(2)))^(1/3))

Surface to Volume Ratio of Triakis Octahedron given Midsphere Radius

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

Surface to Volume Ratio of Triakis Octahedron given Insphere Radius 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 Surface to Volume Ratio of Triakis Octahedron given Insphere Radius?

Surface to Volume Ratio of Triakis Octahedron given Insphere Radius calculator uses Surface to Volume Ratio of Triakis Octahedron = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*(Insphere Radius of Triakis Octahedron/(sqrt((5+(2*sqrt(2)))/34)))) to calculate the Surface to Volume Ratio of Triakis Octahedron, Surface to Volume Ratio of Triakis Octahedron given Insphere Radius formula is defined as the numerical ratio of the total surface area of the Triakis Octahedron to the volume of the Triakis Octahedron, calculated using insphere radius of Triakis Octahedron. Surface to Volume Ratio of Triakis Octahedron is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Triakis Octahedron given Insphere Radius using this online calculator? To use this online calculator for Surface to Volume Ratio of Triakis Octahedron given Insphere Radius, enter Insphere Radius of Triakis Octahedron (r_i) and hit the calculate button. Here is how the Surface to Volume Ratio of Triakis Octahedron given Insphere Radius calculation can be explained with given input values -> 0.75 = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*(4/(sqrt((5+(2*sqrt(2)))/34)))).

FAQ

What is Surface to Volume Ratio of Triakis Octahedron given Insphere Radius?

Surface to Volume Ratio of Triakis Octahedron given Insphere Radius formula is defined as the numerical ratio of the total surface area of the Triakis Octahedron to the volume of the Triakis Octahedron, calculated using insphere radius of Triakis Octahedron and is represented as R_A/V = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*(r_i/(sqrt((5+(2*sqrt(2)))/34)))) or Surface to Volume Ratio of Triakis Octahedron = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*(Insphere Radius of Triakis Octahedron/(sqrt((5+(2*sqrt(2)))/34)))). Insphere Radius of Triakis Octahedron is the radius of the sphere that is contained by the Triakis Octahedron in such a way that all the faces are touching the sphere.

How to calculate Surface to Volume Ratio of Triakis Octahedron given Insphere Radius?

Surface to Volume Ratio of Triakis Octahedron given Insphere Radius formula is defined as the numerical ratio of the total surface area of the Triakis Octahedron to the volume of the Triakis Octahedron, calculated using insphere radius of Triakis Octahedron is calculated using Surface to Volume Ratio of Triakis Octahedron = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*(Insphere Radius of Triakis Octahedron/(sqrt((5+(2*sqrt(2)))/34)))). To calculate Surface to Volume Ratio of Triakis Octahedron given Insphere Radius, you need Insphere Radius of Triakis Octahedron (r_i). With our tool, you need to enter the respective value for Insphere Radius 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 Surface to Volume Ratio of Triakis Octahedron?

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

Surface to Volume Ratio of Triakis Octahedron = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*2*Midsphere Radius of Triakis Octahedron)
Surface to Volume Ratio of Triakis Octahedron = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*(Volume of Triakis Octahedron/(2-sqrt(2)))^(1/3))
Surface to Volume Ratio of Triakis Octahedron = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*sqrt(Total Surface Area of Triakis Octahedron/(6*sqrt(23-(16*sqrt(2))))))

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