Volume of Hexakis Icosahedron given Truncated Icosidodecahedron Edge Calculator

✖Truncated Edge of Hexakis Icosahedron is the length of the edges of a Hexakis Icosahedron that is created by truncating the vertices of an Icosidodecahedron.ⓘ Truncated Edge of Hexakis Icosahedron [l_{e(Truncated Icosidodecahedron)}]

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✖Volume of Hexakis Icosahedron is the quantity of three dimensional space enclosed by the entire surface of Hexakis Icosahedron .ⓘ Volume of Hexakis Icosahedron given Truncated Icosidodecahedron Edge [V]

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Formula

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Volume of Hexakis Icosahedron given Truncated Icosidodecahedron Edge

Formula

`"V" = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(8/125)*("l"_{"e(Truncated Icosidodecahedron)"}^3)*((sqrt(15*(5-sqrt(5))))^3)`

Example

`"14603.46m³"=(25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(8/125)*(("4m")^3)*((sqrt(15*(5-sqrt(5))))^3)`

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Volume of Hexakis Icosahedron given Truncated Icosidodecahedron Edge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Hexakis Icosahedron = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(8/125)*(Truncated Edge of Hexakis Icosahedron^3)*((sqrt(15*(5-sqrt(5))))^3)
V = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(8/125)*(l_{e(Truncated Icosidodecahedron)}^3)*((sqrt(15*(5-sqrt(5))))^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 Icosahedron - (Measured in Cubic Meter) - Volume of Hexakis Icosahedron is the quantity of three dimensional space enclosed by the entire surface of Hexakis Icosahedron .
Truncated Edge of Hexakis Icosahedron - (Measured in Meter) - Truncated Edge of Hexakis Icosahedron is the length of the edges of a Hexakis Icosahedron that is created by truncating the vertices of an Icosidodecahedron.

STEP 1: Convert Input(s) to Base Unit

Truncated Edge of Hexakis Icosahedron: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(8/125)*(l_{e(Truncated Icosidodecahedron)}^3)*((sqrt(15*(5-sqrt(5))))^3) --> (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(8/125)*(4^3)*((sqrt(15*(5-sqrt(5))))^3)

Evaluating ... ...

V = 14603.4556730173

STEP 3: Convert Result to Output's Unit

14603.4556730173 Cubic Meter --> No Conversion Required

FINAL ANSWER

14603.4556730173 ≈ 14603.46 Cubic Meter <-- Volume of Hexakis Icosahedron

(Calculation completed in 00.004 seconds)

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< 8 Volume of Hexakis Icosahedron Calculators

Volume of Hexakis Icosahedron given Surface to Volume Ratio

Go Volume of Hexakis Icosahedron = 25/88*(6/5*sqrt(10*(417+107*sqrt(5)))/(Surface to Volume Ratio of Hexakis Icosahedron*sqrt(6*(185+82*sqrt(5)))))^3*sqrt(6*(185+82*sqrt(5)))

Volume of Hexakis Icosahedron given Total Surface Area

Go Volume of Hexakis Icosahedron = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((44*Total Surface Area of Hexakis Icosahedron)/(15*(sqrt(10*(417+(107*sqrt(5)))))))^(3/2))

Volume of Hexakis Icosahedron given Insphere Radius

Go Volume of Hexakis Icosahedron = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((4*Insphere Radius of Hexakis Icosahedron)/(sqrt((15/241)*(275+(119*sqrt(5))))))^3)

Volume of Hexakis Icosahedron given Truncated Icosidodecahedron Edge

Go Volume of Hexakis Icosahedron = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(8/125)*(Truncated Edge of Hexakis Icosahedron^3)*((sqrt(15*(5-sqrt(5))))^3)

Volume of Hexakis Icosahedron given Medium Edge

Go Volume of Hexakis Icosahedron = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5))))^3)

Volume of Hexakis Icosahedron given Short Edge

Go Volume of Hexakis Icosahedron = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))^3)

Volume of Hexakis Icosahedron given Midsphere Radius

Go Volume of Hexakis Icosahedron = 25/88*((8*Midsphere Radius of Hexakis Icosahedron)/(5+3*sqrt(5)))^3*sqrt(6*(185+82*sqrt(5)))

Volume of Hexakis Icosahedron

Go Volume of Hexakis Icosahedron = 25/88*Long Edge of Hexakis Icosahedron^3*sqrt(6*(185+82*sqrt(5)))

Volume of Hexakis Icosahedron given Truncated Icosidodecahedron Edge Formula

What is Hexakis Icosahedron?

A Hexakis Icosahedron is a polyhedron with identical, but irregular triangle faces. It has thirty vertices with four edges, twenty vertices with six edges and twelve vertices with ten edges.
It has 120 faces, 180 edges, 62 vertices.

How to Calculate Volume of Hexakis Icosahedron given Truncated Icosidodecahedron Edge?

Volume of Hexakis Icosahedron given Truncated Icosidodecahedron Edge calculator uses Volume of Hexakis Icosahedron = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(8/125)*(Truncated Edge of Hexakis Icosahedron^3)*((sqrt(15*(5-sqrt(5))))^3) to calculate the Volume of Hexakis Icosahedron, Volume of Hexakis Icosahedron given Truncated Icosidodecahedron Edge formula is defined as an amount of three dimensional space covered by closed surface of Hexakis Icosahedron, calculated using truncated icosidodecahedron edge of Hexakis Icosahedron. Volume of Hexakis Icosahedron is denoted by V symbol.

How to calculate Volume of Hexakis Icosahedron given Truncated Icosidodecahedron Edge using this online calculator? To use this online calculator for Volume of Hexakis Icosahedron given Truncated Icosidodecahedron Edge, enter Truncated Edge of Hexakis Icosahedron (l_{e(Truncated Icosidodecahedron)}) and hit the calculate button. Here is how the Volume of Hexakis Icosahedron given Truncated Icosidodecahedron Edge calculation can be explained with given input values -> 14603.46 = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(8/125)*(4^3)*((sqrt(15*(5-sqrt(5))))^3).

FAQ

What is Volume of Hexakis Icosahedron given Truncated Icosidodecahedron Edge?

Volume of Hexakis Icosahedron given Truncated Icosidodecahedron Edge formula is defined as an amount of three dimensional space covered by closed surface of Hexakis Icosahedron, calculated using truncated icosidodecahedron edge of Hexakis Icosahedron and is represented as V = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(8/125)*(l_{e(Truncated Icosidodecahedron)}^3)*((sqrt(15*(5-sqrt(5))))^3) or Volume of Hexakis Icosahedron = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(8/125)*(Truncated Edge of Hexakis Icosahedron^3)*((sqrt(15*(5-sqrt(5))))^3). Truncated Edge of Hexakis Icosahedron is the length of the edges of a Hexakis Icosahedron that is created by truncating the vertices of an Icosidodecahedron.

How to calculate Volume of Hexakis Icosahedron given Truncated Icosidodecahedron Edge?

Volume of Hexakis Icosahedron given Truncated Icosidodecahedron Edge formula is defined as an amount of three dimensional space covered by closed surface of Hexakis Icosahedron, calculated using truncated icosidodecahedron edge of Hexakis Icosahedron is calculated using Volume of Hexakis Icosahedron = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(8/125)*(Truncated Edge of Hexakis Icosahedron^3)*((sqrt(15*(5-sqrt(5))))^3). To calculate Volume of Hexakis Icosahedron given Truncated Icosidodecahedron Edge, you need Truncated Edge of Hexakis Icosahedron (l_{e(Truncated Icosidodecahedron)}). With our tool, you need to enter the respective value for Truncated Edge of Hexakis Icosahedron 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 Icosahedron?

In this formula, Volume of Hexakis Icosahedron uses Truncated Edge of Hexakis Icosahedron. We can use 7 other way(s) to calculate the same, which is/are as follows -

Volume of Hexakis Icosahedron = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))^3)
Volume of Hexakis Icosahedron = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((44*Total Surface Area of Hexakis Icosahedron)/(15*(sqrt(10*(417+(107*sqrt(5)))))))^(3/2))
Volume of Hexakis Icosahedron = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((4*Insphere Radius of Hexakis Icosahedron)/(sqrt((15/241)*(275+(119*sqrt(5))))))^3)
Volume of Hexakis Icosahedron = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5))))^3)
Volume of Hexakis Icosahedron = 25/88*Long Edge of Hexakis Icosahedron^3*sqrt(6*(185+82*sqrt(5)))
Volume of Hexakis Icosahedron = 25/88*((8*Midsphere Radius of Hexakis Icosahedron)/(5+3*sqrt(5)))^3*sqrt(6*(185+82*sqrt(5)))
Volume of Hexakis Icosahedron = 25/88*(6/5*sqrt(10*(417+107*sqrt(5)))/(Surface to Volume Ratio of Hexakis Icosahedron*sqrt(6*(185+82*sqrt(5)))))^3*sqrt(6*(185+82*sqrt(5)))

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