Volume of Pentagonal Icositetrahedron Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Pentagonal Icositetrahedron = Snub Cube Edge of Pentagonal Icositetrahedron^3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))
V = le(Snub Cube)^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.
Snub Cube Edge of Pentagonal Icositetrahedron - (Measured in Meter) - Snub Cube Edge of Pentagonal Icositetrahedron is the length of any edge of the Snub Cube of which dual body is the Pentagonal Icositetrahedron.
STEP 1: Convert Input(s) to Base Unit
Snub Cube Edge of Pentagonal Icositetrahedron: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = le(Snub Cube)^3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37))) --> 10^3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))
Evaluating ... ...
V = 7447.3951888148
STEP 3: Convert Result to Output's Unit
7447.3951888148 Cubic Meter --> No Conversion Required
FINAL ANSWER
7447.3951888148 7447.395 Cubic Meter <-- Volume of Pentagonal Icositetrahedron
(Calculation completed in 00.020 seconds)

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!

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 Formula

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

Volume of Pentagonal Icositetrahedron calculator uses Volume of Pentagonal Icositetrahedron = Snub Cube Edge 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 formula is defined as the quantity of three-dimensional space enclosed by the entire surface of the Pentagonal Icositetrahedron. Volume of Pentagonal Icositetrahedron is denoted by V symbol.

How to calculate Volume of Pentagonal Icositetrahedron using this online calculator? To use this online calculator for Volume of Pentagonal Icositetrahedron, enter Snub Cube Edge of Pentagonal Icositetrahedron (le(Snub Cube)) and hit the calculate button. Here is how the Volume of Pentagonal Icositetrahedron calculation can be explained with given input values -> 7447.395 = 10^3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37))).

FAQ

What is Volume of Pentagonal Icositetrahedron?
Volume of Pentagonal Icositetrahedron formula is defined as the quantity of three-dimensional space enclosed by the entire surface of the Pentagonal Icositetrahedron and is represented as V = le(Snub Cube)^3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37))) or Volume of Pentagonal Icositetrahedron = Snub Cube Edge of Pentagonal Icositetrahedron^3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37))). Snub Cube Edge of Pentagonal Icositetrahedron is the length of any edge of the Snub Cube of which dual body is the Pentagonal Icositetrahedron.
How to calculate Volume of Pentagonal Icositetrahedron?
Volume of Pentagonal Icositetrahedron formula is defined as the quantity of three-dimensional space enclosed by the entire surface of the Pentagonal Icositetrahedron is calculated using Volume of Pentagonal Icositetrahedron = Snub Cube Edge of Pentagonal Icositetrahedron^3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37))). To calculate Volume of Pentagonal Icositetrahedron, you need Snub Cube Edge of Pentagonal Icositetrahedron (le(Snub Cube)). With our tool, you need to enter the respective value for Snub Cube 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 Snub Cube Edge of Pentagonal Icositetrahedron. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • 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 = (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)))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!