Volume of Hexakis Octahedron given Short Edge Calculator

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

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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 Short Edge [V]

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Volume of Hexakis Octahedron given Short Edge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((14*Short Edge of Hexakis Octahedron)/(10-sqrt(2)))^3)
V = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((14*l_e(Short))/(10-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 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.
Short Edge of Hexakis Octahedron - (Measured in Meter) - Short Edge of Hexakis Octahedron is the length of the shortest edge of any of the congruent triangular faces of the Hexakis Octahedron.

STEP 1: Convert Input(s) to Base Unit

Short Edge of Hexakis Octahedron: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((14*l_e(Short))/(10-sqrt(2)))^3) --> ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((14*12)/(10-sqrt(2)))^3)

Evaluating ... ...

V = 28147.2521752919

STEP 3: Convert Result to Output's Unit

28147.2521752919 Cubic Meter --> No Conversion Required

FINAL ANSWER

28147.2521752919 ≈ 28147.25 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 Short Edge Formula

LaTeX Go

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

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 Short Edge?

Volume of Hexakis Octahedron given Short Edge calculator uses Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((14*Short Edge of Hexakis Octahedron)/(10-sqrt(2)))^3) to calculate the Volume of Hexakis Octahedron, The Volume of Hexakis Octahedron given Short Edge formula is defined as the quantity of three dimensional space enclosed by the entire surface of Hexakis Octahedron, calculated using short edge of Hexakis Octahedron. Volume of Hexakis Octahedron is denoted by V symbol.

How to calculate Volume of Hexakis Octahedron given Short Edge using this online calculator? To use this online calculator for Volume of Hexakis Octahedron given Short Edge, enter Short Edge of Hexakis Octahedron (l_e(Short)) and hit the calculate button. Here is how the Volume of Hexakis Octahedron given Short Edge calculation can be explained with given input values -> 28147.25 = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((14*12)/(10-sqrt(2)))^3).

FAQ

What is Volume of Hexakis Octahedron given Short Edge?

The Volume of Hexakis Octahedron given Short Edge formula is defined as the quantity of three dimensional space enclosed by the entire surface of Hexakis Octahedron, calculated using short edge of Hexakis Octahedron and is represented as V = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((14*l_e(Short))/(10-sqrt(2)))^3) or Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((14*Short Edge of Hexakis Octahedron)/(10-sqrt(2)))^3). Short Edge of Hexakis Octahedron is the length of the shortest edge of any of the congruent triangular faces of the Hexakis Octahedron.

How to calculate Volume of Hexakis Octahedron given Short Edge?

The Volume of Hexakis Octahedron given Short Edge formula is defined as the quantity of three dimensional space enclosed by the entire surface of Hexakis Octahedron, calculated using short edge of Hexakis Octahedron is calculated using Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((14*Short Edge of Hexakis Octahedron)/(10-sqrt(2)))^3). To calculate Volume of Hexakis Octahedron given Short Edge, you need Short Edge of Hexakis Octahedron (l_e(Short)). With our tool, you need to enter the respective value for Short 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 Short Edge 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)*(((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*Medium Edge of Hexakis Octahedron)/(3*(1+(2*sqrt(2)))))^3)

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