Volume of Pentagonal Icositetrahedron given Surface to Volume Ratio Calculator

✖SA:V of Pentagonal Icositetrahedron is what part of or fraction of the total volume of Pentagonal Icositetrahedron is the total surface area.ⓘ SA:V of Pentagonal Icositetrahedron [R_A/V]

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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 Surface to Volume Ratio [V]

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Volume of Pentagonal Icositetrahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
V = ((3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/(R_A/V*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))))^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.
SA:V of Pentagonal Icositetrahedron - (Measured in 1 per Meter) - SA:V of Pentagonal Icositetrahedron is what part of or fraction of the total volume of Pentagonal Icositetrahedron is the total surface area.

STEP 1: Convert Input(s) to Base Unit

SA:V of Pentagonal Icositetrahedron: 0.3 1 per Meter --> 0.3 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = ((3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/(R_A/V*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))))^3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37))) --> ((3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/(0.3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))))^3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))

Evaluating ... ...

V = 4800.19965541214

STEP 3: Convert Result to Output's Unit

4800.19965541214 Cubic Meter --> No Conversion Required

FINAL ANSWER

4800.19965541214 ≈ 4800.2 Cubic Meter <-- Volume of Pentagonal Icositetrahedron

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< Volume of Pentagonal Icositetrahedron Calculators

Volume of Pentagonal Icositetrahedron given Midsphere Radius

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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 Surface to Volume Ratio Formula

LaTeX Go

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 Surface to Volume Ratio?

Volume of Pentagonal Icositetrahedron given Surface to Volume Ratio calculator uses 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))) to calculate the Volume of Pentagonal Icositetrahedron, Volume of Pentagonal Icositetrahedron given Surface to Volume Ratio formula is defined as the quantity of three dimensional space enclosed by the entire surface of Pentagonal Icositetrahedron, calculated using surface to volume ratio of Pentagonal Icositetrahedron. Volume of Pentagonal Icositetrahedron is denoted by V symbol.

How to calculate Volume of Pentagonal Icositetrahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Volume of Pentagonal Icositetrahedron given Surface to Volume Ratio, enter SA:V of Pentagonal Icositetrahedron (R_A/V) and hit the calculate button. Here is how the Volume of Pentagonal Icositetrahedron given Surface to Volume Ratio calculation can be explained with given input values -> 4800.2 = ((3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/(0.3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))))^3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37))).

FAQ

What is Volume of Pentagonal Icositetrahedron given Surface to Volume Ratio?

Volume of Pentagonal Icositetrahedron given Surface to Volume Ratio formula is defined as the quantity of three dimensional space enclosed by the entire surface of Pentagonal Icositetrahedron, calculated using surface to volume ratio of Pentagonal Icositetrahedron and is represented as V = ((3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/(R_A/V*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))))^3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37))) or 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))). SA:V of Pentagonal Icositetrahedron is what part of or fraction of the total volume of Pentagonal Icositetrahedron is the total surface area.

How to calculate Volume of Pentagonal Icositetrahedron given Surface to Volume Ratio?

Volume of Pentagonal Icositetrahedron given Surface to Volume Ratio formula is defined as the quantity of three dimensional space enclosed by the entire surface of Pentagonal Icositetrahedron, calculated using surface to volume ratio of Pentagonal Icositetrahedron is calculated using 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))). To calculate Volume of Pentagonal Icositetrahedron given Surface to Volume Ratio, you need SA:V of Pentagonal Icositetrahedron (R_A/V). With our tool, you need to enter the respective value for SA:V 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 SA:V of Pentagonal Icositetrahedron. We can use 3 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*Long Edge of Pentagonal Icositetrahedron)/sqrt([Tribonacci_C]+1))^3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))

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