Surface to Volume Ratio of Tetrakis Hexahedron given Midsphere Radius Calculator

✖Midsphere Radius of Tetrakis Hexahedron is the radius of the sphere for which all the edges of the Tetrakis Hexahedron become a tangent line on that sphere.ⓘ Midsphere Radius of Tetrakis Hexahedron [r_m]

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✖Surface to Volume Ratio of Tetrakis Hexahedron is the numerical ratio of the total surface area of the Tetrakis Hexahedron to the volume of the Tetrakis Hexahedron.ⓘ Surface to Volume Ratio of Tetrakis Hexahedron given Midsphere Radius [R_A/V]

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Formula

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Surface to Volume Ratio of Tetrakis Hexahedron given Midsphere Radius

Formula

`"R"_{"A/V"} = sqrt(10)/"r"_{"m"}`

Example

`"0.451754m⁻¹"=sqrt(10)/"7m"`

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Surface to Volume Ratio of Tetrakis Hexahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Tetrakis Hexahedron = sqrt(10)/Midsphere Radius of Tetrakis Hexahedron
R_A/V = sqrt(10)/r_m
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 Tetrakis Hexahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Tetrakis Hexahedron is the numerical ratio of the total surface area of the Tetrakis Hexahedron to the volume of the Tetrakis Hexahedron.
Midsphere Radius of Tetrakis Hexahedron - (Measured in Meter) - Midsphere Radius of Tetrakis Hexahedron is the radius of the sphere for which all the edges of the Tetrakis Hexahedron become a tangent line on that sphere.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Tetrakis Hexahedron: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = sqrt(10)/r_m --> sqrt(10)/7

Evaluating ... ...

R_A/V = 0.451753951452626

STEP 3: Convert Result to Output's Unit

0.451753951452626 1 per Meter --> No Conversion Required

FINAL ANSWER

0.451753951452626 ≈ 0.451754 1 per Meter <-- Surface to Volume Ratio of Tetrakis Hexahedron

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Indian Institute of Information Technology (IIIT), Bhopal

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< 7 Surface to Volume Ratio of Tetrakis Hexahedron Calculators

Surface to Volume Ratio of Tetrakis Hexahedron given Total Surface Area

Go Surface to Volume Ratio of Tetrakis Hexahedron = sqrt(5)*2*sqrt((sqrt(5)*3)/Total Surface Area of Tetrakis Hexahedron)

Surface to Volume Ratio of Tetrakis Hexahedron given Pyramidal Edge Length

Go Surface to Volume Ratio of Tetrakis Hexahedron = (sqrt(5)*3)/(2*Pyramidal Edge Length of Tetrakis Hexahedron)

Surface to Volume Ratio of Tetrakis Hexahedron

Go Surface to Volume Ratio of Tetrakis Hexahedron = (2*sqrt(5))/Cubical Edge Length of Tetrakis Hexahedron

Surface to Volume Ratio of Tetrakis Hexahedron given Volume

Go Surface to Volume Ratio of Tetrakis Hexahedron = sqrt(5)*2*(3/(2*Volume of Tetrakis Hexahedron))^(1/3)

Surface to Volume Ratio of Tetrakis Hexahedron given Midsphere Radius

Go Surface to Volume Ratio of Tetrakis Hexahedron = sqrt(10)/Midsphere Radius of Tetrakis Hexahedron

Surface to Volume Ratio of Tetrakis Hexahedron given Height

Go Surface to Volume Ratio of Tetrakis Hexahedron = (sqrt(5)*3)/(Height of Tetrakis Hexahedron)

Surface to Volume Ratio of Tetrakis Hexahedron given Insphere Radius

Go Surface to Volume Ratio of Tetrakis Hexahedron = 3/Insphere Radius of Tetrakis Hexahedron

Surface to Volume Ratio of Tetrakis Hexahedron given Midsphere Radius Formula

Surface to Volume Ratio of Tetrakis Hexahedron = sqrt(10)/Midsphere Radius of Tetrakis Hexahedron
R_A/V = sqrt(10)/r_m

What is Tetrakis Hexahedron?

In geometry, a Tetrakis Hexahedron (also known as a tetrahexahedron, hextetrahedron, tetrakis cube, and kiscube) is a Catalan solid. Its dual is the truncated octahedron, an Archimedean solid. It can be called a disdyakis hexahedron or hexakis tetrahedron as the dual of an omnitruncated tetrahedron, and as the barycentric subdivision of a tetrahedron. It has 24 faces, 36 edges, 14 vertices.

How to Calculate Surface to Volume Ratio of Tetrakis Hexahedron given Midsphere Radius?

Surface to Volume Ratio of Tetrakis Hexahedron given Midsphere Radius calculator uses Surface to Volume Ratio of Tetrakis Hexahedron = sqrt(10)/Midsphere Radius of Tetrakis Hexahedron to calculate the Surface to Volume Ratio of Tetrakis Hexahedron, Surface to Volume Ratio of Tetrakis Hexahedron given Midsphere Radius formula is defined the numerical ratio of the total surface area of the Tetrakis Hexahedron to the volume of the Tetrakis Hexahedron, calculated using midsphere radius of Tetrakis Hexahedron. Surface to Volume Ratio of Tetrakis Hexahedron is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Tetrakis Hexahedron given Midsphere Radius using this online calculator? To use this online calculator for Surface to Volume Ratio of Tetrakis Hexahedron given Midsphere Radius, enter Midsphere Radius of Tetrakis Hexahedron (r_m) and hit the calculate button. Here is how the Surface to Volume Ratio of Tetrakis Hexahedron given Midsphere Radius calculation can be explained with given input values -> 0.451754 = sqrt(10)/7.

FAQ

What is Surface to Volume Ratio of Tetrakis Hexahedron given Midsphere Radius?

Surface to Volume Ratio of Tetrakis Hexahedron given Midsphere Radius formula is defined the numerical ratio of the total surface area of the Tetrakis Hexahedron to the volume of the Tetrakis Hexahedron, calculated using midsphere radius of Tetrakis Hexahedron and is represented as R_A/V = sqrt(10)/r_m or Surface to Volume Ratio of Tetrakis Hexahedron = sqrt(10)/Midsphere Radius of Tetrakis Hexahedron. Midsphere Radius of Tetrakis Hexahedron is the radius of the sphere for which all the edges of the Tetrakis Hexahedron become a tangent line on that sphere.

How to calculate Surface to Volume Ratio of Tetrakis Hexahedron given Midsphere Radius?

Surface to Volume Ratio of Tetrakis Hexahedron given Midsphere Radius formula is defined the numerical ratio of the total surface area of the Tetrakis Hexahedron to the volume of the Tetrakis Hexahedron, calculated using midsphere radius of Tetrakis Hexahedron is calculated using Surface to Volume Ratio of Tetrakis Hexahedron = sqrt(10)/Midsphere Radius of Tetrakis Hexahedron. To calculate Surface to Volume Ratio of Tetrakis Hexahedron given Midsphere Radius, you need Midsphere Radius of Tetrakis Hexahedron (r_m). With our tool, you need to enter the respective value for Midsphere Radius of Tetrakis Hexahedron 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 Tetrakis Hexahedron?

In this formula, Surface to Volume Ratio of Tetrakis Hexahedron uses Midsphere Radius of Tetrakis Hexahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -

Surface to Volume Ratio of Tetrakis Hexahedron = (2*sqrt(5))/Cubical Edge Length of Tetrakis Hexahedron
Surface to Volume Ratio of Tetrakis Hexahedron = 3/Insphere Radius of Tetrakis Hexahedron
Surface to Volume Ratio of Tetrakis Hexahedron = sqrt(5)*2*(3/(2*Volume of Tetrakis Hexahedron))^(1/3)
Surface to Volume Ratio of Tetrakis Hexahedron = sqrt(5)*2*sqrt((sqrt(5)*3)/Total Surface Area of Tetrakis Hexahedron)
Surface to Volume Ratio of Tetrakis Hexahedron = (sqrt(5)*3)/(Height of Tetrakis Hexahedron)
Surface to Volume Ratio of Tetrakis Hexahedron = (sqrt(5)*3)/(2*Pyramidal Edge Length of Tetrakis Hexahedron)

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