Volume of Tetrakis Hexahedron given Surface to Volume Ratio Calculator

✖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 [R_A/V]

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✖Volume of Tetrakis Hexahedron is the quantity of three-dimensional space enclosed by the entire surface of the Tetrakis Hexahedron.ⓘ Volume of Tetrakis Hexahedron given Surface to Volume Ratio [V]

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Formula

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Volume of Tetrakis Hexahedron given Surface to Volume Ratio

Formula

`"V" = 3/2*((2*sqrt(5))/"R"_{"A/V"})^3`

Example

`"2096.314m³"=3/2*((2*sqrt(5))/"0.4m⁻¹")^3`

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Volume of Tetrakis Hexahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Volume of Tetrakis Hexahedron - (Measured in Cubic Meter) - Volume of Tetrakis Hexahedron is the quantity of three-dimensional space enclosed by the entire surface of the Tetrakis Hexahedron.
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.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Tetrakis Hexahedron: 0.4 1 per Meter --> 0.4 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 3/2*((2*sqrt(5))/R_A/V)^3 --> 3/2*((2*sqrt(5))/0.4)^3

Evaluating ... ...

V = 2096.31372890605

STEP 3: Convert Result to Output's Unit

2096.31372890605 Cubic Meter --> No Conversion Required

FINAL ANSWER

2096.31372890605 ≈ 2096.314 Cubic Meter <-- Volume of Tetrakis Hexahedron

(Calculation completed in 00.004 seconds)

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< 7 Volume of Tetrakis Hexahedron Calculators

Volume of Tetrakis Hexahedron given Surface to Volume Ratio

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

Volume of Tetrakis Hexahedron given Total Surface Area

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

Volume of Tetrakis Hexahedron given Insphere Radius

Go Volume of Tetrakis Hexahedron = 3/2*((10*Insphere Radius of Tetrakis Hexahedron)/(3*sqrt(5)))^3

Volume of Tetrakis Hexahedron given Midsphere Radius

Go Volume of Tetrakis Hexahedron = 3/2*((2*Midsphere Radius of Tetrakis Hexahedron)/(sqrt(2)))^3

Volume of Tetrakis Hexahedron given Pyramidal Edge Length

Go Volume of Tetrakis Hexahedron = 3/2*((4*Pyramidal Edge Length of Tetrakis Hexahedron)/3)^3

Volume of Tetrakis Hexahedron

Go Volume of Tetrakis Hexahedron = 3/2*Cubical Edge Length of Tetrakis Hexahedron^3

Volume of Tetrakis Hexahedron given Height

Go Volume of Tetrakis Hexahedron = 3/2*((2*Height of Tetrakis Hexahedron)/3)^3

Volume of Tetrakis Hexahedron given Surface to Volume Ratio Formula

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

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 Volume of Tetrakis Hexahedron given Surface to Volume Ratio?

Volume of Tetrakis Hexahedron given Surface to Volume Ratio calculator uses Volume of Tetrakis Hexahedron = 3/2*((2*sqrt(5))/Surface to Volume Ratio of Tetrakis Hexahedron)^3 to calculate the Volume of Tetrakis Hexahedron, The Volume of Tetrakis Hexahedron given Surface to Volume Ratio formula is defined as the quantity of three dimensional space enclosed by the entire surface of Tetrakis Hexahedron, calculated using surface to volume ratio of Tetrakis Hexahedron. Volume of Tetrakis Hexahedron is denoted by V symbol.

How to calculate Volume of Tetrakis Hexahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Volume of Tetrakis Hexahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Tetrakis Hexahedron (R_A/V) and hit the calculate button. Here is how the Volume of Tetrakis Hexahedron given Surface to Volume Ratio calculation can be explained with given input values -> 2096.314 = 3/2*((2*sqrt(5))/0.4)^3.

FAQ

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

The Volume of Tetrakis Hexahedron given Surface to Volume Ratio formula is defined as the quantity of three dimensional space enclosed by the entire surface of Tetrakis Hexahedron, calculated using surface to volume ratio of Tetrakis Hexahedron and is represented as V = 3/2*((2*sqrt(5))/R_A/V)^3 or Volume of Tetrakis Hexahedron = 3/2*((2*sqrt(5))/Surface to Volume Ratio of Tetrakis Hexahedron)^3. 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.

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

The Volume of Tetrakis Hexahedron given Surface to Volume Ratio formula is defined as the quantity of three dimensional space enclosed by the entire surface of Tetrakis Hexahedron, calculated using surface to volume ratio of Tetrakis Hexahedron is calculated using Volume of Tetrakis Hexahedron = 3/2*((2*sqrt(5))/Surface to Volume Ratio of Tetrakis Hexahedron)^3. To calculate Volume of Tetrakis Hexahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Tetrakis Hexahedron (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio 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 Volume of Tetrakis Hexahedron?

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

Volume of Tetrakis Hexahedron = 3/2*((10*Insphere Radius of Tetrakis Hexahedron)/(3*sqrt(5)))^3
Volume of Tetrakis Hexahedron = 3/2*((2*Midsphere Radius of Tetrakis Hexahedron)/(sqrt(2)))^3
Volume of Tetrakis Hexahedron = 3/2*(Total Surface Area of Tetrakis Hexahedron/(3*sqrt(5)))^(3/2)
Volume of Tetrakis Hexahedron = 3/2*((2*Height of Tetrakis Hexahedron)/3)^3
Volume of Tetrakis Hexahedron = 3/2*((4*Pyramidal Edge Length of Tetrakis Hexahedron)/3)^3
Volume of Tetrakis Hexahedron = 3/2*Cubical Edge Length of Tetrakis Hexahedron^3

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