Volume of Pentagonal Icositetrahedron given Midsphere Radius Calculator

✖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.ⓘ Midsphere Radius of Pentagonal Icositetrahedron [r_m]

+10%

-10%

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

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

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])*r_m)^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])*r_m)^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 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » CatalanSolids » Pentagonal Icositetrahedron » Volume of Pentagonal Icositetrahedron » Volume of Pentagonal Icositetrahedron given Midsphere Radius

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< 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 Midsphere Radius 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 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 (r_m) 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])*r_m)^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 (r_m). 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 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)))

Home

FREE PDFs

🔍 Search