Surface to Volume Ratio of Pentagonal Icositetrahedron given Short Edge Solution

STEP 0: Pre-Calculation Summary
Formula Used
SA:V of Pentagonal Icositetrahedron = (3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/(sqrt([Tribonacci_C]+1)*Short Edge of Pentagonal Icositetrahedron*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37))))
RA/V = (3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/(sqrt([Tribonacci_C]+1)*le(Short)*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
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.
Short Edge of Pentagonal Icositetrahedron - (Measured in Meter) - Short Edge of Pentagonal Icositetrahedron is the length of shortest edge which is the base and middle edge of the axial-symmetric pentagonal faces of Pentagonal Icositetrahedron.
STEP 1: Convert Input(s) to Base Unit
Short Edge of Pentagonal Icositetrahedron: 6 Meter --> 6 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
RA/V = (3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/(sqrt([Tribonacci_C]+1)*le(Short)*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))) --> (3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/(sqrt([Tribonacci_C]+1)*6*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37))))
Evaluating ... ...
RA/V = 0.256320697723874
STEP 3: Convert Result to Output's Unit
0.256320697723874 1 per Meter --> No Conversion Required
FINAL ANSWER
0.256320697723874 0.256321 1 per Meter <-- SA:V of Pentagonal Icositetrahedron
(Calculation completed in 00.004 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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Verified by Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
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7 Surface to Volume Ratio of Pentagonal Icositetrahedron Calculators

Surface to Volume Ratio of Pentagonal Icositetrahedron given Total Surface Area
Go SA:V of Pentagonal Icositetrahedron = (3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/((sqrt(Total Surface Area of Pentagonal Icositetrahedron/3)*(((4*[Tribonacci_C])-3)/(22*((5*[Tribonacci_C])-1)))^(1/4))*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37))))
Surface to Volume Ratio of Pentagonal Icositetrahedron given Insphere Radius
Go SA:V of Pentagonal Icositetrahedron = (3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/((2*sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C]))*Insphere Radius of Pentagonal Icositetrahedron)*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37))))
Surface to Volume Ratio of Pentagonal Icositetrahedron given Volume
Go SA:V of Pentagonal Icositetrahedron = (3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/((Volume of Pentagonal Icositetrahedron^(1/3)*((2*((20*[Tribonacci_C])-37))/(11*([Tribonacci_C]-4)))^(1/6))*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37))))
Surface to Volume Ratio of Pentagonal Icositetrahedron given Midsphere Radius
Go SA:V of Pentagonal Icositetrahedron = (3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/((2*sqrt(2-[Tribonacci_C])*Midsphere Radius of Pentagonal Icositetrahedron)*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37))))
Surface to Volume Ratio of Pentagonal Icositetrahedron given Long Edge
Go SA:V of Pentagonal Icositetrahedron = (3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/(((2*Long Edge of Pentagonal Icositetrahedron)/sqrt([Tribonacci_C]+1))*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37))))
Surface to Volume Ratio of Pentagonal Icositetrahedron given Short Edge
Go SA:V of Pentagonal Icositetrahedron = (3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/(sqrt([Tribonacci_C]+1)*Short Edge of Pentagonal Icositetrahedron*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37))))
Surface to Volume Ratio of Pentagonal Icositetrahedron
Go SA:V of Pentagonal Icositetrahedron = (3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/(Snub Cube Edge of Pentagonal Icositetrahedron*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37))))

Surface to Volume Ratio of Pentagonal Icositetrahedron given Short Edge Formula

SA:V of Pentagonal Icositetrahedron = (3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/(sqrt([Tribonacci_C]+1)*Short Edge of Pentagonal Icositetrahedron*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37))))
RA/V = (3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/(sqrt([Tribonacci_C]+1)*le(Short)*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 Surface to Volume Ratio of Pentagonal Icositetrahedron given Short Edge?

Surface to Volume Ratio of Pentagonal Icositetrahedron given Short Edge calculator uses SA:V of Pentagonal Icositetrahedron = (3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/(sqrt([Tribonacci_C]+1)*Short Edge of Pentagonal Icositetrahedron*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))) to calculate the SA:V of Pentagonal Icositetrahedron, Surface to Volume Ratio of Pentagonal Icositetrahedron given Short Edge formula is defined as what part of or fraction of total volume of Pentagonal Icositetrahedron is the total surface area, calculated using short edge of Pentagonal Icositetrahedron. SA:V of Pentagonal Icositetrahedron is denoted by RA/V symbol.

How to calculate Surface to Volume Ratio of Pentagonal Icositetrahedron given Short Edge using this online calculator? To use this online calculator for Surface to Volume Ratio of Pentagonal Icositetrahedron given Short Edge, enter Short Edge of Pentagonal Icositetrahedron (le(Short)) and hit the calculate button. Here is how the Surface to Volume Ratio of Pentagonal Icositetrahedron given Short Edge calculation can be explained with given input values -> 0.256321 = (3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/(sqrt([Tribonacci_C]+1)*6*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))).

FAQ

What is Surface to Volume Ratio of Pentagonal Icositetrahedron given Short Edge?
Surface to Volume Ratio of Pentagonal Icositetrahedron given Short Edge formula is defined as what part of or fraction of total volume of Pentagonal Icositetrahedron is the total surface area, calculated using short edge of Pentagonal Icositetrahedron and is represented as RA/V = (3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/(sqrt([Tribonacci_C]+1)*le(Short)*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))) or SA:V of Pentagonal Icositetrahedron = (3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/(sqrt([Tribonacci_C]+1)*Short Edge of Pentagonal Icositetrahedron*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))). Short Edge of Pentagonal Icositetrahedron is the length of shortest edge which is the base and middle edge of the axial-symmetric pentagonal faces of Pentagonal Icositetrahedron.
How to calculate Surface to Volume Ratio of Pentagonal Icositetrahedron given Short Edge?
Surface to Volume Ratio of Pentagonal Icositetrahedron given Short Edge formula is defined as what part of or fraction of total volume of Pentagonal Icositetrahedron is the total surface area, calculated using short edge of Pentagonal Icositetrahedron is calculated using SA:V of Pentagonal Icositetrahedron = (3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/(sqrt([Tribonacci_C]+1)*Short Edge of Pentagonal Icositetrahedron*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))). To calculate Surface to Volume Ratio of Pentagonal Icositetrahedron given Short Edge, you need Short Edge of Pentagonal Icositetrahedron (le(Short)). With our tool, you need to enter the respective value for Short 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 SA:V of Pentagonal Icositetrahedron?
In this formula, SA:V of Pentagonal Icositetrahedron uses Short Edge of Pentagonal Icositetrahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • SA:V of Pentagonal Icositetrahedron = (3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/(Snub Cube Edge of Pentagonal Icositetrahedron*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37))))
  • SA:V of Pentagonal Icositetrahedron = (3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/(((2*Long Edge of Pentagonal Icositetrahedron)/sqrt([Tribonacci_C]+1))*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37))))
  • SA:V of Pentagonal Icositetrahedron = (3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/((sqrt(Total Surface Area of Pentagonal Icositetrahedron/3)*(((4*[Tribonacci_C])-3)/(22*((5*[Tribonacci_C])-1)))^(1/4))*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37))))
  • SA:V of Pentagonal Icositetrahedron = (3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/((Volume of Pentagonal Icositetrahedron^(1/3)*((2*((20*[Tribonacci_C])-37))/(11*([Tribonacci_C]-4)))^(1/6))*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37))))
  • SA:V of Pentagonal Icositetrahedron = (3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/((2*sqrt(2-[Tribonacci_C])*Midsphere Radius of Pentagonal Icositetrahedron)*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37))))
  • SA:V of Pentagonal Icositetrahedron = (3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/((2*sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C]))*Insphere Radius of Pentagonal Icositetrahedron)*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37))))
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