Volume of Pentagonal Icositetrahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
V = (2*sqrt(2-[Tribonacci_C])*rm)^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.
Midsphere Radius of Pentagonal Icositetrahedron - (Measured in Meter) - Midsphere Radius of Pentagonal Icositetrahedron is the radius of the sphere for which all the edges of the Pentagonal Icositetrahedron become a tangent line on that sphere.
STEP 1: Convert Input(s) to Base Unit
Midsphere Radius of Pentagonal Icositetrahedron: 13 Meter --> 13 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = (2*sqrt(2-[Tribonacci_C])*rm)^3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37))) --> (2*sqrt(2-[Tribonacci_C])*13)^3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))
Evaluating ... ...
V = 8433.38540699249
STEP 3: Convert Result to Output's Unit
8433.38540699249 Cubic Meter --> No Conversion Required
FINAL ANSWER
8433.38540699249 8433.385 Cubic Meter <-- Volume of Pentagonal Icositetrahedron
(Calculation completed in 00.020 seconds)

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Walchand College of Engineering (WCE), Sangli
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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 Midsphere Radius Formula

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)))
V = (2*sqrt(2-[Tribonacci_C])*rm)^3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))

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 Midsphere Radius?

Volume of Pentagonal Icositetrahedron given Midsphere Radius calculator uses 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))) to calculate the Volume of Pentagonal Icositetrahedron, Volume of Pentagonal Icositetrahedron given Midsphere Radius formula is defined as the quantity of three dimensional space enclosed by the entire surface of Pentagonal Icositetrahedron, calculated using midsphere radius of Pentagonal Icositetrahedron. Volume of Pentagonal Icositetrahedron is denoted by V symbol.

How to calculate Volume of Pentagonal Icositetrahedron given Midsphere Radius using this online calculator? To use this online calculator for Volume of Pentagonal Icositetrahedron given Midsphere Radius, enter Midsphere Radius of Pentagonal Icositetrahedron (rm) and hit the calculate button. Here is how the Volume of Pentagonal Icositetrahedron given Midsphere Radius calculation can be explained with given input values -> 8433.385 = (2*sqrt(2-[Tribonacci_C])*13)^3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37))).

FAQ

What is Volume of Pentagonal Icositetrahedron given Midsphere Radius?
Volume of Pentagonal Icositetrahedron given Midsphere Radius formula is defined as the quantity of three dimensional space enclosed by the entire surface of Pentagonal Icositetrahedron, calculated using midsphere radius of Pentagonal Icositetrahedron and is represented as V = (2*sqrt(2-[Tribonacci_C])*rm)^3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37))) or 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))). Midsphere Radius of Pentagonal Icositetrahedron is the radius of the sphere for which all the edges of the Pentagonal Icositetrahedron become a tangent line on that sphere.
How to calculate Volume of Pentagonal Icositetrahedron given Midsphere Radius?
Volume of Pentagonal Icositetrahedron given Midsphere Radius formula is defined as the quantity of three dimensional space enclosed by the entire surface of Pentagonal Icositetrahedron, calculated using midsphere radius of Pentagonal Icositetrahedron is calculated using 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))). To calculate Volume of Pentagonal Icositetrahedron given Midsphere Radius, you need Midsphere Radius of Pentagonal Icositetrahedron (rm). With our tool, you need to enter the respective value for Midsphere Radius 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 Midsphere Radius 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*Long Edge of Pentagonal Icositetrahedron)/sqrt([Tribonacci_C]+1))^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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