Height 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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✖Height of Tetrakis Hexahedron is the vertical distance from any vertex of the Tetrakis Hexahedron to the face which is directly opposite to that vertex.ⓘ Height of Tetrakis Hexahedron given Surface to Volume Ratio [h]

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Formula

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Height of Tetrakis Hexahedron given Surface to Volume Ratio

Formula

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

Example

`"16.77051m"=3*sqrt(5)/"0.4m⁻¹"`

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Height of Tetrakis Hexahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Tetrakis Hexahedron = 3*sqrt(5)/Surface to Volume Ratio of Tetrakis Hexahedron
h = 3*sqrt(5)/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 Tetrakis Hexahedron - (Measured in Meter) - Height of Tetrakis Hexahedron is the vertical distance from any vertex of the Tetrakis Hexahedron to the face which is directly opposite to that vertex.
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

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

Evaluating ... ...

h = 16.7705098312484

STEP 3: Convert Result to Output's Unit

16.7705098312484 Meter --> No Conversion Required

FINAL ANSWER

16.7705098312484 ≈ 16.77051 Meter <-- Height of Tetrakis Hexahedron

(Calculation completed in 00.004 seconds)

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< 7 Height of Tetrakis Hexahedron Calculators

Height of Tetrakis Hexahedron given Total Surface Area

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

Height of Tetrakis Hexahedron given Surface to Volume Ratio

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

Height of Tetrakis Hexahedron given Midsphere Radius

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

Height of Tetrakis Hexahedron given Insphere Radius

Go Height of Tetrakis Hexahedron = sqrt(5)*Insphere Radius of Tetrakis Hexahedron

Height of Tetrakis Hexahedron given Volume

Go Height of Tetrakis Hexahedron = 3/2*((2*Volume of Tetrakis Hexahedron)/3)^(1/3)

Height of Tetrakis Hexahedron given Pyramidal Edge Length

Go Height of Tetrakis Hexahedron = 2*Pyramidal Edge Length of Tetrakis Hexahedron

Height of Tetrakis Hexahedron

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

Height of Tetrakis Hexahedron given Surface to Volume Ratio Formula

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

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 Height of Tetrakis Hexahedron given Surface to Volume Ratio?

Height of Tetrakis Hexahedron given Surface to Volume Ratio calculator uses Height of Tetrakis Hexahedron = 3*sqrt(5)/Surface to Volume Ratio of Tetrakis Hexahedron to calculate the Height of Tetrakis Hexahedron, The Height of Tetrakis Hexahedron given Surface to Volume Ratio formula is defined as the vertical distance from any vertex of the Tetrakis Hexahedron to the face which is directly opposite to that vertex, calculated using surface to volume ratio of Tetrakis Hexahedron. Height of Tetrakis Hexahedron is denoted by h symbol.

How to calculate Height of Tetrakis Hexahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Height 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 Height of Tetrakis Hexahedron given Surface to Volume Ratio calculation can be explained with given input values -> 16.77051 = 3*sqrt(5)/0.4.

FAQ

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

The Height of Tetrakis Hexahedron given Surface to Volume Ratio formula is defined as the vertical distance from any vertex of the Tetrakis Hexahedron to the face which is directly opposite to that vertex, calculated using surface to volume ratio of Tetrakis Hexahedron and is represented as h = 3*sqrt(5)/R_A/V or Height of Tetrakis Hexahedron = 3*sqrt(5)/Surface to Volume Ratio of Tetrakis Hexahedron. 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 Height of Tetrakis Hexahedron given Surface to Volume Ratio?

The Height of Tetrakis Hexahedron given Surface to Volume Ratio formula is defined as the vertical distance from any vertex of the Tetrakis Hexahedron to the face which is directly opposite to that vertex, calculated using surface to volume ratio of Tetrakis Hexahedron is calculated using Height of Tetrakis Hexahedron = 3*sqrt(5)/Surface to Volume Ratio of Tetrakis Hexahedron. To calculate Height 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 Height of Tetrakis Hexahedron?

In this formula, Height 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 -

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

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