Volume of Hexakis Octahedron Calculator

✖Long Edge of Hexakis Octahedron is the length of the long edge of any of the congruent triangular faces of the Hexakis Octahedron.ⓘ Long Edge of Hexakis Octahedron [l_e(Long)]

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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 [V]

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Formula

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Volume of Hexakis Octahedron

Formula

`"V" = ((("l"_{"e(Long)"})^3)*(sqrt(6*(986+(607*sqrt(2))))))/28`

Example

`"30056.5m³"=((("20m")^3)*(sqrt(6*(986+(607*sqrt(2))))))/28`

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Volume of Hexakis Octahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Hexakis Octahedron = (((Long Edge of Hexakis Octahedron)^3)*(sqrt(6*(986+(607*sqrt(2))))))/28
V = (((l_e(Long))^3)*(sqrt(6*(986+(607*sqrt(2))))))/28
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.
Long Edge of Hexakis Octahedron - (Measured in Meter) - Long Edge of Hexakis Octahedron is the length of the long edge of any of the congruent triangular faces of the Hexakis Octahedron.

STEP 1: Convert Input(s) to Base Unit

Long Edge of Hexakis Octahedron: 20 Meter --> 20 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (((l_e(Long))^3)*(sqrt(6*(986+(607*sqrt(2))))))/28 --> (((20)^3)*(sqrt(6*(986+(607*sqrt(2))))))/28

Evaluating ... ...

V = 30056.498898809

STEP 3: Convert Result to Output's Unit

30056.498898809 Cubic Meter --> No Conversion Required

FINAL ANSWER

30056.498898809 ≈ 30056.5 Cubic Meter <-- Volume of Hexakis Octahedron

(Calculation completed in 00.020 seconds)

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Created by Shweta Patil

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< 8 Volume of Hexakis Octahedron Calculators

Volume of Hexakis Octahedron given Surface to Volume Ratio

Go Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((12*sqrt(543+(176*sqrt(2))))/(Surface to Volume Ratio of Hexakis Octahedron*sqrt(6*(986+(607*sqrt(2))))))^3)

Volume of Hexakis Octahedron given Total Surface Area

Go Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((7*Total Surface Area of Hexakis Octahedron)/(3*sqrt(543+(176*sqrt(2)))))^(3/2))

Volume of Hexakis Octahedron given Insphere Radius

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 Truncated Cuboctahedron Edge

Go Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(8/343)*((60+(6*sqrt(2)))^(3/2))*(Truncated Cuboctahedron Edge of Hexakis Octahedron^3)

Volume of Hexakis Octahedron given Midsphere Radius

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

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

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

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

Volume of Hexakis Octahedron Formula

Volume of Hexakis Octahedron = (((Long Edge of Hexakis Octahedron)^3)*(sqrt(6*(986+(607*sqrt(2))))))/28
V = (((l_e(Long))^3)*(sqrt(6*(986+(607*sqrt(2))))))/28

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?

Volume of Hexakis Octahedron calculator uses Volume of Hexakis Octahedron = (((Long Edge of Hexakis Octahedron)^3)*(sqrt(6*(986+(607*sqrt(2))))))/28 to calculate the Volume of Hexakis Octahedron, The Volume of Hexakis Octahedron formula is defined as the quantity of three dimensional space enclosed by the entire surface of Hexakis Octahedron. Volume of Hexakis Octahedron is denoted by V symbol.

How to calculate Volume of Hexakis Octahedron using this online calculator? To use this online calculator for Volume of Hexakis Octahedron, enter Long Edge of Hexakis Octahedron (l_e(Long)) and hit the calculate button. Here is how the Volume of Hexakis Octahedron calculation can be explained with given input values -> 30056.5 = (((20)^3)*(sqrt(6*(986+(607*sqrt(2))))))/28.

FAQ

What is Volume of Hexakis Octahedron?

The Volume of Hexakis Octahedron formula is defined as the quantity of three dimensional space enclosed by the entire surface of Hexakis Octahedron and is represented as V = (((l_e(Long))^3)*(sqrt(6*(986+(607*sqrt(2))))))/28 or Volume of Hexakis Octahedron = (((Long Edge of Hexakis Octahedron)^3)*(sqrt(6*(986+(607*sqrt(2))))))/28. Long Edge of Hexakis Octahedron is the length of the long edge of any of the congruent triangular faces of the Hexakis Octahedron.

How to calculate Volume of Hexakis Octahedron?

The Volume of Hexakis Octahedron formula is defined as the quantity of three dimensional space enclosed by the entire surface of Hexakis Octahedron is calculated using Volume of Hexakis Octahedron = (((Long Edge of Hexakis Octahedron)^3)*(sqrt(6*(986+(607*sqrt(2))))))/28. To calculate Volume of Hexakis Octahedron, you need Long Edge of Hexakis Octahedron (l_e(Long)). With our tool, you need to enter the respective value for Long Edge 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 Long Edge of Hexakis Octahedron. We can use 7 other way(s) to calculate the same, which is/are as follows -

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 = ((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)
Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((7*Total Surface Area of Hexakis Octahedron)/(3*sqrt(543+(176*sqrt(2)))))^(3/2))
Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(8/343)*((60+(6*sqrt(2)))^(3/2))*(Truncated Cuboctahedron Edge of Hexakis Octahedron^3)
Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((12*sqrt(543+(176*sqrt(2))))/(Surface to Volume Ratio of Hexakis Octahedron*sqrt(6*(986+(607*sqrt(2))))))^3)

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