Volume of Triakis Icosahedron given Midsphere Radius Calculator

✖Midsphere Radius of Triakis Icosahedron is the radius of the sphere for which all the edges of the Triakis Icosahedron become a tangent line on that sphere.ⓘ Midsphere Radius of Triakis Icosahedron [r_m]

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✖Volume of Triakis Icosahedron is the quantity of three dimensional space enclosed by the entire surface of Triakis Icosahedron.ⓘ Volume of Triakis Icosahedron given Midsphere Radius [V]

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Volume of Triakis Icosahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Triakis Icosahedron = (5/44)*(5+(7*sqrt(5)))*(((4*Midsphere Radius of Triakis Icosahedron)/(1+sqrt(5)))^3)
V = (5/44)*(5+(7*sqrt(5)))*(((4*r_m)/(1+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 Triakis Icosahedron - (Measured in Cubic Meter) - Volume of Triakis Icosahedron is the quantity of three dimensional space enclosed by the entire surface of Triakis Icosahedron.
Midsphere Radius of Triakis Icosahedron - (Measured in Meter) - Midsphere Radius of Triakis Icosahedron is the radius of the sphere for which all the edges of the Triakis Icosahedron become a tangent line on that sphere.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Triakis Icosahedron: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (5/44)*(5+(7*sqrt(5)))*(((4*r_m)/(1+sqrt(5)))^3) --> (5/44)*(5+(7*sqrt(5)))*(((4*7)/(1+sqrt(5)))^3)

Evaluating ... ...

V = 1520.23468496195

STEP 3: Convert Result to Output's Unit

1520.23468496195 Cubic Meter --> No Conversion Required

FINAL ANSWER

1520.23468496195 ≈ 1520.235 Cubic Meter <-- Volume of Triakis Icosahedron

(Calculation completed in 00.004 seconds)

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< Volume of Triakis Icosahedron Calculators

Volume of Triakis Icosahedron given Total Surface Area

LaTeX Go Volume of Triakis Icosahedron = (5/44)*(5+(7*sqrt(5)))*(((11*Total Surface Area of Triakis Icosahedron)/(15*sqrt(109-(30*sqrt(5)))))^(3/2))

Volume of Triakis Icosahedron given Pyramidal Edge Length

LaTeX Go Volume of Triakis Icosahedron = (5/44)*(5+(7*sqrt(5)))*(((22*Pyramidal Edge Length of Triakis Icosahedron)/(15-sqrt(5)))^3)

Volume of Triakis Icosahedron given Midsphere Radius

LaTeX Go Volume of Triakis Icosahedron = (5/44)*(5+(7*sqrt(5)))*(((4*Midsphere Radius of Triakis Icosahedron)/(1+sqrt(5)))^3)

Volume of Triakis Icosahedron

LaTeX Go Volume of Triakis Icosahedron = (5/44)*(5+(7*sqrt(5)))*((Icosahedral Edge Length of Triakis Icosahedron)^3)

Volume of Triakis Icosahedron given Midsphere Radius Formula

LaTeX Go

Volume of Triakis Icosahedron = (5/44)*(5+(7*sqrt(5)))*(((4*Midsphere Radius of Triakis Icosahedron)/(1+sqrt(5)))^3)
V = (5/44)*(5+(7*sqrt(5)))*(((4*r_m)/(1+sqrt(5)))^3)

What is Triakis Icosahedron?

The Triakis Icosahedron is a three-dimensional polyhedron created from the dual of the truncated dodecahedron. Because of this, it shares the same full icosahedral symmetry group as the dodecahedron and the truncated dodecahedron. It can also be constructed by adding short triangular pyramids onto the faces of an icosahedron. It has 60 faces, 90 edges, 32 vertices.

How to Calculate Volume of Triakis Icosahedron given Midsphere Radius?

Volume of Triakis Icosahedron given Midsphere Radius calculator uses Volume of Triakis Icosahedron = (5/44)*(5+(7*sqrt(5)))*(((4*Midsphere Radius of Triakis Icosahedron)/(1+sqrt(5)))^3) to calculate the Volume of Triakis Icosahedron, Volume of Triakis Icosahedron given Midsphere Radius formula is defined as quantity of three dimensional space covered by closed surface of Triakis Icosahedron, calculated using midsphere radius of Triakis Icosahedron. Volume of Triakis Icosahedron is denoted by V symbol.

How to calculate Volume of Triakis Icosahedron given Midsphere Radius using this online calculator? To use this online calculator for Volume of Triakis Icosahedron given Midsphere Radius, enter Midsphere Radius of Triakis Icosahedron (r_m) and hit the calculate button. Here is how the Volume of Triakis Icosahedron given Midsphere Radius calculation can be explained with given input values -> 1520.235 = (5/44)*(5+(7*sqrt(5)))*(((4*7)/(1+sqrt(5)))^3).

FAQ

What is Volume of Triakis Icosahedron given Midsphere Radius?

Volume of Triakis Icosahedron given Midsphere Radius formula is defined as quantity of three dimensional space covered by closed surface of Triakis Icosahedron, calculated using midsphere radius of Triakis Icosahedron and is represented as V = (5/44)*(5+(7*sqrt(5)))*(((4*r_m)/(1+sqrt(5)))^3) or Volume of Triakis Icosahedron = (5/44)*(5+(7*sqrt(5)))*(((4*Midsphere Radius of Triakis Icosahedron)/(1+sqrt(5)))^3). Midsphere Radius of Triakis Icosahedron is the radius of the sphere for which all the edges of the Triakis Icosahedron become a tangent line on that sphere.

How to calculate Volume of Triakis Icosahedron given Midsphere Radius?

Volume of Triakis Icosahedron given Midsphere Radius formula is defined as quantity of three dimensional space covered by closed surface of Triakis Icosahedron, calculated using midsphere radius of Triakis Icosahedron is calculated using Volume of Triakis Icosahedron = (5/44)*(5+(7*sqrt(5)))*(((4*Midsphere Radius of Triakis Icosahedron)/(1+sqrt(5)))^3). To calculate Volume of Triakis Icosahedron given Midsphere Radius, you need Midsphere Radius of Triakis Icosahedron (r_m). With our tool, you need to enter the respective value for Midsphere Radius of Triakis 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 Triakis Icosahedron?

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

Volume of Triakis Icosahedron = (5/44)*(5+(7*sqrt(5)))*((Icosahedral Edge Length of Triakis Icosahedron)^3)
Volume of Triakis Icosahedron = (5/44)*(5+(7*sqrt(5)))*(((22*Pyramidal Edge Length of Triakis Icosahedron)/(15-sqrt(5)))^3)
Volume of Triakis Icosahedron = (5/44)*(5+(7*sqrt(5)))*(((11*Total Surface Area of Triakis Icosahedron)/(15*sqrt(109-(30*sqrt(5)))))^(3/2))

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