Volume of Hexakis Octahedron given Insphere Radius Calculator

✖Insphere Radius of Hexakis Octahedron is defined as the radius of the sphere that is contained by the Hexakis Octahedron in such a way that all the faces just touching the sphere.ⓘ Insphere Radius of Hexakis Octahedron [r_i]

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✖Volume of Hexakis Octahedron is the quantity of three dimensional space enclosed by the entire surface of Hexakis Octahedron.ⓘ Volume of Hexakis Octahedron given Insphere Radius [V]

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Volume of Hexakis Octahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((2*Insphere Radius of Hexakis Octahedron)/(sqrt((402+(195*sqrt(2)))/194)))^3)
V = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((2*r_i)/(sqrt((402+(195*sqrt(2)))/194)))^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 Hexakis Octahedron - (Measured in Cubic Meter) - Volume of Hexakis Octahedron is the quantity of three dimensional space enclosed by the entire surface of Hexakis Octahedron.
Insphere Radius of Hexakis Octahedron - (Measured in Meter) - Insphere Radius of Hexakis Octahedron is defined as the radius of the sphere that is contained by the Hexakis Octahedron in such a way that all the faces just touching the sphere.

STEP 1: Convert Input(s) to Base Unit

Insphere Radius of Hexakis Octahedron: 18 Meter --> 18 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((2*r_i)/(sqrt((402+(195*sqrt(2)))/194)))^3) --> ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((2*18)/(sqrt((402+(195*sqrt(2)))/194)))^3)

Evaluating ... ...

V = 26843.1456288257

STEP 3: Convert Result to Output's Unit

26843.1456288257 Cubic Meter --> No Conversion Required

FINAL ANSWER

26843.1456288257 ≈ 26843.15 Cubic Meter <-- Volume of Hexakis Octahedron

(Calculation completed in 00.004 seconds)

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< Volume of Hexakis Octahedron Calculators

Volume of Hexakis Octahedron given Insphere Radius

LaTeX Go Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((2*Insphere Radius of Hexakis Octahedron)/(sqrt((402+(195*sqrt(2)))/194)))^3)

Volume of Hexakis Octahedron given Midsphere Radius

LaTeX Go Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((4*Midsphere Radius of Hexakis Octahedron)/(1+(2*sqrt(2))))^3)

Volume of Hexakis Octahedron given Medium Edge

LaTeX Go Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((14*Medium Edge of Hexakis Octahedron)/(3*(1+(2*sqrt(2)))))^3)

Volume of Hexakis Octahedron given Short Edge

LaTeX Go Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((14*Short Edge of Hexakis Octahedron)/(10-sqrt(2)))^3)

Volume of Hexakis Octahedron given Insphere Radius Formula

LaTeX Go

What is Hexakis Octahedron?

In geometry, a Hexakis Octahedron (also called hexoctahedron, disdyakis dodecahedron, octakis cube, octakis hexahedron, kisrhombic dodecahedron), is a Catalan solid with 48 congruent triangular faces, 72 edges and 26 vertices. It is the dual of the Archimedean solid ‘truncated cuboctahedron’. As such it is face-transitive but with irregular face polygons.

How to Calculate Volume of Hexakis Octahedron given Insphere Radius?

Volume of Hexakis Octahedron given Insphere Radius calculator uses Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((2*Insphere Radius of Hexakis Octahedron)/(sqrt((402+(195*sqrt(2)))/194)))^3) to calculate the Volume of Hexakis Octahedron, The Volume of Hexakis Octahedron given Insphere Radius formula is defined as the quantity of three dimensional space enclosed by the entire surface of Hexakis Octahedron, calculated using insphere radius of Hexakis Octahedron. Volume of Hexakis Octahedron is denoted by V symbol.

How to calculate Volume of Hexakis Octahedron given Insphere Radius using this online calculator? To use this online calculator for Volume of Hexakis Octahedron given Insphere Radius, enter Insphere Radius of Hexakis Octahedron (r_i) and hit the calculate button. Here is how the Volume of Hexakis Octahedron given Insphere Radius calculation can be explained with given input values -> 26843.15 = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((2*18)/(sqrt((402+(195*sqrt(2)))/194)))^3).

FAQ

What is Volume of Hexakis Octahedron given Insphere Radius?

The Volume of Hexakis Octahedron given Insphere Radius formula is defined as the quantity of three dimensional space enclosed by the entire surface of Hexakis Octahedron, calculated using insphere radius of Hexakis Octahedron and is represented as V = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((2*r_i)/(sqrt((402+(195*sqrt(2)))/194)))^3) or Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((2*Insphere Radius of Hexakis Octahedron)/(sqrt((402+(195*sqrt(2)))/194)))^3). Insphere Radius of Hexakis Octahedron is defined as the radius of the sphere that is contained by the Hexakis Octahedron in such a way that all the faces just touching the sphere.

How to calculate Volume of Hexakis Octahedron given Insphere Radius?

The Volume of Hexakis Octahedron given Insphere Radius formula is defined as the quantity of three dimensional space enclosed by the entire surface of Hexakis Octahedron, calculated using insphere radius of Hexakis Octahedron is calculated using Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((2*Insphere Radius of Hexakis Octahedron)/(sqrt((402+(195*sqrt(2)))/194)))^3). To calculate Volume of Hexakis Octahedron given Insphere Radius, you need Insphere Radius of Hexakis Octahedron (r_i). With our tool, you need to enter the respective value for Insphere Radius of Hexakis Octahedron 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 Hexakis Octahedron?

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

Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((4*Midsphere Radius of Hexakis Octahedron)/(1+(2*sqrt(2))))^3)
Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((14*Short Edge of Hexakis Octahedron)/(10-sqrt(2)))^3)
Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((14*Medium Edge of Hexakis Octahedron)/(3*(1+(2*sqrt(2)))))^3)

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