Insphere Radius of Tetrakis Hexahedron given Volume Calculator

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

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✖Insphere Radius of Tetrakis Hexahedron is the radius of the sphere that is contained by the Tetrakis Hexahedron in such a way that all the faces just touching the sphere.ⓘ Insphere Radius of Tetrakis Hexahedron given Volume [r_i]

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Formula

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Insphere Radius of Tetrakis Hexahedron given Volume

Formula

`"r"_{"i"} = (3*sqrt(5))/10*((2*"V")/3)^(1/3)`

Example

`"6.708204m"=(3*sqrt(5))/10*((2*"1500m³")/3)^(1/3)`

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Insphere Radius of Tetrakis Hexahedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Insphere Radius of Tetrakis Hexahedron = (3*sqrt(5))/10*((2*Volume of Tetrakis Hexahedron)/3)^(1/3)
r_i = (3*sqrt(5))/10*((2*V)/3)^(1/3)
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

Insphere Radius of Tetrakis Hexahedron - (Measured in Meter) - Insphere Radius of Tetrakis Hexahedron is the radius of the sphere that is contained by the Tetrakis Hexahedron in such a way that all the faces just touching the sphere.
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.

STEP 1: Convert Input(s) to Base Unit

Volume of Tetrakis Hexahedron: 1500 Cubic Meter --> 1500 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = (3*sqrt(5))/10*((2*V)/3)^(1/3) --> (3*sqrt(5))/10*((2*1500)/3)^(1/3)

Evaluating ... ...

r_i = 6.70820393249937

STEP 3: Convert Result to Output's Unit

6.70820393249937 Meter --> No Conversion Required

FINAL ANSWER

6.70820393249937 ≈ 6.708204 Meter <-- Insphere Radius 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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Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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< 7 Insphere Radius of Tetrakis Hexahedron Calculators

Insphere Radius of Tetrakis Hexahedron given Total Surface Area

Go Insphere Radius of Tetrakis Hexahedron = (3*sqrt(5))/10*sqrt(Total Surface Area of Tetrakis Hexahedron/(3*sqrt(5)))

Insphere Radius of Tetrakis Hexahedron given Volume

Go Insphere Radius of Tetrakis Hexahedron = (3*sqrt(5))/10*((2*Volume of Tetrakis Hexahedron)/3)^(1/3)

Insphere Radius of Tetrakis Hexahedron given Pyramidal Edge Length

Go Insphere Radius of Tetrakis Hexahedron = (2*Pyramidal Edge Length of Tetrakis Hexahedron)/sqrt(5)

Insphere Radius of Tetrakis Hexahedron

Go Insphere Radius of Tetrakis Hexahedron = 3/10*Cubical Edge Length of Tetrakis Hexahedron*sqrt(5)

Insphere Radius of Tetrakis Hexahedron given Midsphere Radius

Go Insphere Radius of Tetrakis Hexahedron = (3*Midsphere Radius of Tetrakis Hexahedron)/sqrt(10)

Insphere Radius of Tetrakis Hexahedron given Height

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

Insphere Radius of Tetrakis Hexahedron given Surface to Volume Ratio

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

Insphere Radius of Tetrakis Hexahedron given Volume Formula

Insphere Radius of Tetrakis Hexahedron = (3*sqrt(5))/10*((2*Volume of Tetrakis Hexahedron)/3)^(1/3)
r_i = (3*sqrt(5))/10*((2*V)/3)^(1/3)

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 Insphere Radius of Tetrakis Hexahedron given Volume?

Insphere Radius of Tetrakis Hexahedron given Volume calculator uses Insphere Radius of Tetrakis Hexahedron = (3*sqrt(5))/10*((2*Volume of Tetrakis Hexahedron)/3)^(1/3) to calculate the Insphere Radius of Tetrakis Hexahedron, Insphere Radius of Tetrakis Hexahedron given Volume formula is defined as the radius of the sphere that is contained by the Tetrakis Hexahedron in such a way that all the faces just touching the sphere, calculated using volume of Tetrakis Hexahedron. Insphere Radius of Tetrakis Hexahedron is denoted by r_i symbol.

How to calculate Insphere Radius of Tetrakis Hexahedron given Volume using this online calculator? To use this online calculator for Insphere Radius of Tetrakis Hexahedron given Volume, enter Volume of Tetrakis Hexahedron (V) and hit the calculate button. Here is how the Insphere Radius of Tetrakis Hexahedron given Volume calculation can be explained with given input values -> 6.708204 = (3*sqrt(5))/10*((2*1500)/3)^(1/3).

FAQ

What is Insphere Radius of Tetrakis Hexahedron given Volume?

Insphere Radius of Tetrakis Hexahedron given Volume formula is defined as the radius of the sphere that is contained by the Tetrakis Hexahedron in such a way that all the faces just touching the sphere, calculated using volume of Tetrakis Hexahedron and is represented as r_i = (3*sqrt(5))/10*((2*V)/3)^(1/3) or Insphere Radius of Tetrakis Hexahedron = (3*sqrt(5))/10*((2*Volume of Tetrakis Hexahedron)/3)^(1/3). Volume of Tetrakis Hexahedron is the quantity of three-dimensional space enclosed by the entire surface of the Tetrakis Hexahedron.

How to calculate Insphere Radius of Tetrakis Hexahedron given Volume?

Insphere Radius of Tetrakis Hexahedron given Volume formula is defined as the radius of the sphere that is contained by the Tetrakis Hexahedron in such a way that all the faces just touching the sphere, calculated using volume of Tetrakis Hexahedron is calculated using Insphere Radius of Tetrakis Hexahedron = (3*sqrt(5))/10*((2*Volume of Tetrakis Hexahedron)/3)^(1/3). To calculate Insphere Radius of Tetrakis Hexahedron given Volume, you need Volume of Tetrakis Hexahedron (V). With our tool, you need to enter the respective value for Volume 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 Insphere Radius of Tetrakis Hexahedron?

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

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

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