Volume of Hexakis Icosahedron given Medium Edge Calculator

✖Medium Edge of Hexakis Icosahedron is the length of the edge that connects two non-adjacent and non-opposite vertices of the Hexakis Icosahedron.ⓘ Medium Edge of Hexakis Icosahedron [l_e(Medium)]

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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 Medium Edge [V]

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Volume of Hexakis Icosahedron given Medium Edge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Hexakis Icosahedron = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5))))^3)
V = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((22*l_e(Medium))/(3*(4+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 .
Medium Edge of Hexakis Icosahedron - (Measured in Meter) - Medium Edge of Hexakis Icosahedron is the length of the edge that connects two non-adjacent and non-opposite vertices of the Hexakis Icosahedron.

STEP 1: Convert Input(s) to Base Unit

Medium Edge of Hexakis Icosahedron: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((22*l_e(Medium))/(3*(4+sqrt(5))))^3) --> (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((22*9)/(3*(4+sqrt(5))))^3)

Evaluating ... ...

V = 15833.1398752292

STEP 3: Convert Result to Output's Unit

15833.1398752292 Cubic Meter --> No Conversion Required

FINAL ANSWER

15833.1398752292 ≈ 15833.14 Cubic Meter <-- Volume of Hexakis Icosahedron

(Calculation completed in 00.020 seconds)

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Walchand College of Engineering (WCE), Sangli

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< Volume of Hexakis Icosahedron Calculators

Volume of Hexakis Icosahedron given Total Surface Area

LaTeX 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

LaTeX 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

LaTeX 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 Short Edge

LaTeX 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 Medium Edge Formula

LaTeX Go

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 Medium Edge?

Volume of Hexakis Icosahedron given Medium Edge calculator uses Volume of Hexakis Icosahedron = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5))))^3) to calculate the Volume of Hexakis Icosahedron, Volume of Hexakis Icosahedron given Medium Edge formula is defined as an amount of three dimensional space covered by closed surface of Hexakis Icosahedron, calculated using medium edge of Hexakis Icosahedron. Volume of Hexakis Icosahedron is denoted by V symbol.

How to calculate Volume of Hexakis Icosahedron given Medium Edge using this online calculator? To use this online calculator for Volume of Hexakis Icosahedron given Medium Edge, enter Medium Edge of Hexakis Icosahedron (l_e(Medium)) and hit the calculate button. Here is how the Volume of Hexakis Icosahedron given Medium Edge calculation can be explained with given input values -> 15833.14 = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((22*9)/(3*(4+sqrt(5))))^3).

FAQ

What is Volume of Hexakis Icosahedron given Medium Edge?

Volume of Hexakis Icosahedron given Medium Edge formula is defined as an amount of three dimensional space covered by closed surface of Hexakis Icosahedron, calculated using medium edge of Hexakis Icosahedron and is represented as V = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((22*l_e(Medium))/(3*(4+sqrt(5))))^3) or Volume of Hexakis Icosahedron = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5))))^3). Medium Edge of Hexakis Icosahedron is the length of the edge that connects two non-adjacent and non-opposite vertices of the Hexakis Icosahedron.

How to calculate Volume of Hexakis Icosahedron given Medium Edge?

Volume of Hexakis Icosahedron given Medium Edge formula is defined as an amount of three dimensional space covered by closed surface of Hexakis Icosahedron, calculated using medium edge of Hexakis Icosahedron is calculated using Volume of Hexakis Icosahedron = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5))))^3). To calculate Volume of Hexakis Icosahedron given Medium Edge, you need Medium Edge of Hexakis Icosahedron (l_e(Medium)). With our tool, you need to enter the respective value for Medium 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 Medium Edge of Hexakis Icosahedron. We can use 3 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)))))*(8/125)*(Truncated Edge of Hexakis Icosahedron^3)*((sqrt(15*(5-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))

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