Volume 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]

+10%

-10%

✖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 Midsphere Radius [V]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Volume of Tetrakis Hexahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Tetrakis Hexahedron = 3/2*((2*Midsphere Radius of Tetrakis Hexahedron)/(sqrt(2)))^3
V = 3/2*((2*r_m)/(sqrt(2)))^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.
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

V = 3/2*((2*r_m)/(sqrt(2)))^3 --> 3/2*((2*7)/(sqrt(2)))^3

Evaluating ... ...

V = 1455.22575568191

STEP 3: Convert Result to Output's Unit

1455.22575568191 Cubic Meter --> No Conversion Required

FINAL ANSWER

1455.22575568191 ≈ 1455.226 Cubic Meter <-- Volume of Tetrakis Hexahedron

(Calculation completed in 00.020 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » CatalanSolids » Tetrakis Hexahedron » Volume of Tetrakis Hexahedron » Volume of Tetrakis Hexahedron given Midsphere Radius

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has verified this Calculator and 400+ more calculators!

< Volume of Tetrakis Hexahedron Calculators

Volume of Tetrakis Hexahedron given Surface to Volume Ratio

LaTeX 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

LaTeX 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

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

Volume of Tetrakis Hexahedron given Midsphere Radius

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

Volume of Tetrakis Hexahedron given Midsphere Radius Formula

LaTeX Go

Volume of Tetrakis Hexahedron = 3/2*((2*Midsphere Radius of Tetrakis Hexahedron)/(sqrt(2)))^3
V = 3/2*((2*r_m)/(sqrt(2)))^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 Midsphere Radius?

Volume of Tetrakis Hexahedron given Midsphere Radius calculator uses Volume of Tetrakis Hexahedron = 3/2*((2*Midsphere Radius of Tetrakis Hexahedron)/(sqrt(2)))^3 to calculate the Volume of Tetrakis Hexahedron, Volume of Tetrakis Hexahedron given Midsphere Radius formula is defined as the quantity of three dimensional space enclosed by the entire surface of Tetrakis Hexahedron, calculated using midsphere radius of Tetrakis Hexahedron. Volume of Tetrakis Hexahedron is denoted by V symbol.

How to calculate Volume of Tetrakis Hexahedron given Midsphere Radius using this online calculator? To use this online calculator for Volume of Tetrakis Hexahedron given Midsphere Radius, enter Midsphere Radius of Tetrakis Hexahedron (r_m) and hit the calculate button. Here is how the Volume of Tetrakis Hexahedron given Midsphere Radius calculation can be explained with given input values -> 1455.226 = 3/2*((2*7)/(sqrt(2)))^3.

FAQ

What is Volume of Tetrakis Hexahedron given Midsphere Radius?

Volume of Tetrakis Hexahedron given Midsphere Radius formula is defined as the quantity of three dimensional space enclosed by the entire surface of Tetrakis Hexahedron, calculated using midsphere radius of Tetrakis Hexahedron and is represented as V = 3/2*((2*r_m)/(sqrt(2)))^3 or Volume of Tetrakis Hexahedron = 3/2*((2*Midsphere Radius of Tetrakis Hexahedron)/(sqrt(2)))^3. 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 Volume of Tetrakis Hexahedron given Midsphere Radius?

Volume of Tetrakis Hexahedron given Midsphere Radius formula is defined as the quantity of three dimensional space enclosed by the entire surface of Tetrakis Hexahedron, calculated using midsphere radius of Tetrakis Hexahedron is calculated using Volume of Tetrakis Hexahedron = 3/2*((2*Midsphere Radius of Tetrakis Hexahedron)/(sqrt(2)))^3. To calculate Volume 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 Volume of Tetrakis Hexahedron?

In this formula, Volume of Tetrakis Hexahedron uses Midsphere Radius of Tetrakis Hexahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Volume of Tetrakis Hexahedron = 3/2*((2*sqrt(5))/Surface to Volume Ratio of Tetrakis Hexahedron)^3
Volume of Tetrakis Hexahedron = 3/2*((10*Insphere Radius of Tetrakis Hexahedron)/(3*sqrt(5)))^3
Volume of Tetrakis Hexahedron = 3/2*(Total Surface Area of Tetrakis Hexahedron/(3*sqrt(5)))^(3/2)

Home

FREE PDFs

🔍 Search