Volume of Pentagonal Icositetrahedron given Long Edge Calculator

✖Long Edge of Pentagonal Icositetrahedron is the length of longest edge which is the top edge of the axial-symmetric pentagonal faces of Pentagonal Icositetrahedron.ⓘ Long Edge of Pentagonal Icositetrahedron [l_e(Long)]

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✖Volume of Pentagonal Icositetrahedron is the quantity of three dimensional space enclosed by the entire surface of Pentagonal Icositetrahedron.ⓘ Volume of Pentagonal Icositetrahedron given Long Edge [V]

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Formula

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Volume of Pentagonal Icositetrahedron given Long Edge

Formula

`"V" = ((2*"l"_{"e(Long)"})/sqrt("[Tribonacci_C]"+1))^3*sqrt((11*("[Tribonacci_C]"-4))/(2*((20*"[Tribonacci_C]")-37)))`

Example

`"6376.032m³"=((2*"8m")/sqrt("[Tribonacci_C]"+1))^3*sqrt((11*("[Tribonacci_C]"-4))/(2*((20*"[Tribonacci_C]")-37)))`

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Volume of Pentagonal Icositetrahedron given Long Edge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Pentagonal Icositetrahedron = ((2*Long Edge of Pentagonal Icositetrahedron)/sqrt([Tribonacci_C]+1))^3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))
V = ((2*l_e(Long))/sqrt([Tribonacci_C]+1))^3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

[Tribonacci_C] - Tribonacci constant Value Taken As 1.839286755214161

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 Pentagonal Icositetrahedron - (Measured in Cubic Meter) - Volume of Pentagonal Icositetrahedron is the quantity of three dimensional space enclosed by the entire surface of Pentagonal Icositetrahedron.
Long Edge of Pentagonal Icositetrahedron - (Measured in Meter) - Long Edge of Pentagonal Icositetrahedron is the length of longest edge which is the top edge of the axial-symmetric pentagonal faces of Pentagonal Icositetrahedron.

STEP 1: Convert Input(s) to Base Unit

Long Edge of Pentagonal Icositetrahedron: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = ((2*l_e(Long))/sqrt([Tribonacci_C]+1))^3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37))) --> ((2*8)/sqrt([Tribonacci_C]+1))^3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))

Evaluating ... ...

V = 6376.03163310741

STEP 3: Convert Result to Output's Unit

6376.03163310741 Cubic Meter --> No Conversion Required

FINAL ANSWER

6376.03163310741 ≈ 6376.032 Cubic Meter <-- Volume of Pentagonal Icositetrahedron

(Calculation completed in 00.020 seconds)

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< 5 Volume of Pentagonal Icositetrahedron Calculators

Volume of Pentagonal Icositetrahedron given Surface to Volume Ratio

Go Volume of Pentagonal Icositetrahedron = ((3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/(SA:V of Pentagonal Icositetrahedron*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))))^3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))

Volume of Pentagonal Icositetrahedron given Midsphere Radius

Go Volume of Pentagonal Icositetrahedron = (2*sqrt(2-[Tribonacci_C])*Midsphere Radius of Pentagonal Icositetrahedron)^3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))

Volume of Pentagonal Icositetrahedron given Long Edge

Go Volume of Pentagonal Icositetrahedron = ((2*Long Edge of Pentagonal Icositetrahedron)/sqrt([Tribonacci_C]+1))^3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))

Volume of Pentagonal Icositetrahedron given Short Edge

Go Volume of Pentagonal Icositetrahedron = (sqrt([Tribonacci_C]+1)*Short Edge of Pentagonal Icositetrahedron)^3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))

Volume of Pentagonal Icositetrahedron

Go Volume of Pentagonal Icositetrahedron = Snub Cube Edge of Pentagonal Icositetrahedron^3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))

Volume of Pentagonal Icositetrahedron given Long Edge Formula

What is Pentagonal Icositetrahedron?

The Pentagonal Icositetrahedron can be constructed from a snub cube. Its faces are axial-symmetric pentagons with the top angle acos(2-t)=80.7517°. Of this polyhedron, there are two forms that are mirror images of each other, but otherwise identical. It has 24 faces, 60 edges, and 38 vertices.

How to Calculate Volume of Pentagonal Icositetrahedron given Long Edge?

Volume of Pentagonal Icositetrahedron given Long Edge calculator uses Volume of Pentagonal Icositetrahedron = ((2*Long Edge of Pentagonal Icositetrahedron)/sqrt([Tribonacci_C]+1))^3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37))) to calculate the Volume of Pentagonal Icositetrahedron, Volume of Pentagonal Icositetrahedron given Long Edge formula is defined as the quantity of three dimensional space enclosed by the entire surface of Pentagonal Icositetrahedron, calculated using long edge of Pentagonal Icositetrahedron. Volume of Pentagonal Icositetrahedron is denoted by V symbol.

How to calculate Volume of Pentagonal Icositetrahedron given Long Edge using this online calculator? To use this online calculator for Volume of Pentagonal Icositetrahedron given Long Edge, enter Long Edge of Pentagonal Icositetrahedron (l_e(Long)) and hit the calculate button. Here is how the Volume of Pentagonal Icositetrahedron given Long Edge calculation can be explained with given input values -> 6376.032 = ((2*8)/sqrt([Tribonacci_C]+1))^3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37))).

FAQ

What is Volume of Pentagonal Icositetrahedron given Long Edge?

Volume of Pentagonal Icositetrahedron given Long Edge formula is defined as the quantity of three dimensional space enclosed by the entire surface of Pentagonal Icositetrahedron, calculated using long edge of Pentagonal Icositetrahedron and is represented as V = ((2*l_e(Long))/sqrt([Tribonacci_C]+1))^3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37))) or Volume of Pentagonal Icositetrahedron = ((2*Long Edge of Pentagonal Icositetrahedron)/sqrt([Tribonacci_C]+1))^3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37))). Long Edge of Pentagonal Icositetrahedron is the length of longest edge which is the top edge of the axial-symmetric pentagonal faces of Pentagonal Icositetrahedron.

How to calculate Volume of Pentagonal Icositetrahedron given Long Edge?

Volume of Pentagonal Icositetrahedron given Long Edge formula is defined as the quantity of three dimensional space enclosed by the entire surface of Pentagonal Icositetrahedron, calculated using long edge of Pentagonal Icositetrahedron is calculated using Volume of Pentagonal Icositetrahedron = ((2*Long Edge of Pentagonal Icositetrahedron)/sqrt([Tribonacci_C]+1))^3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37))). To calculate Volume of Pentagonal Icositetrahedron given Long Edge, you need Long Edge of Pentagonal Icositetrahedron (l_e(Long)). With our tool, you need to enter the respective value for Long Edge of Pentagonal Icositetrahedron 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 Pentagonal Icositetrahedron?

In this formula, Volume of Pentagonal Icositetrahedron uses Long Edge of Pentagonal Icositetrahedron. We can use 4 other way(s) to calculate the same, which is/are as follows -

Volume of Pentagonal Icositetrahedron = Snub Cube Edge of Pentagonal Icositetrahedron^3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))
Volume of Pentagonal Icositetrahedron = (sqrt([Tribonacci_C]+1)*Short Edge of Pentagonal Icositetrahedron)^3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))
Volume of Pentagonal Icositetrahedron = (2*sqrt(2-[Tribonacci_C])*Midsphere Radius of Pentagonal Icositetrahedron)^3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))
Volume of Pentagonal Icositetrahedron = ((3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/(SA:V of Pentagonal Icositetrahedron*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))))^3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))

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