Short Edge of Pentagonal Icositetrahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Short Edge of Pentagonal Icositetrahedron = sqrt(Total Surface Area of Pentagonal Icositetrahedron/3)*(((4*[Tribonacci_C])-3)/(22*((5*[Tribonacci_C])-1)))^(1/4)*1/sqrt([Tribonacci_C]+1)
le(Short) = sqrt(TSA/3)*(((4*[Tribonacci_C])-3)/(22*((5*[Tribonacci_C])-1)))^(1/4)*1/sqrt([Tribonacci_C]+1)
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
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.
Total Surface Area of Pentagonal Icositetrahedron - (Measured in Square Meter) - Total Surface Area of Pentagonal Icositetrahedron is the amount or quantity of two dimensional space covered on the surface of Pentagonal Icositetrahedron.
STEP 1: Convert Input(s) to Base Unit
Total Surface Area of Pentagonal Icositetrahedron: 1900 Square Meter --> 1900 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le(Short) = sqrt(TSA/3)*(((4*[Tribonacci_C])-3)/(22*((5*[Tribonacci_C])-1)))^(1/4)*1/sqrt([Tribonacci_C]+1) --> sqrt(1900/3)*(((4*[Tribonacci_C])-3)/(22*((5*[Tribonacci_C])-1)))^(1/4)*1/sqrt([Tribonacci_C]+1)
Evaluating ... ...
le(Short) = 5.88843919281268
STEP 3: Convert Result to Output's Unit
5.88843919281268 Meter --> No Conversion Required
FINAL ANSWER
5.88843919281268 5.888439 Meter <-- Short Edge of Pentagonal Icositetrahedron
(Calculation completed in 00.004 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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St Joseph's College (SJC), Bengaluru
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7 Short Edge of Pentagonal Icositetrahedron Calculators

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

Short Edge of Pentagonal Icositetrahedron given Total Surface Area Formula

Short Edge of Pentagonal Icositetrahedron = sqrt(Total Surface Area of Pentagonal Icositetrahedron/3)*(((4*[Tribonacci_C])-3)/(22*((5*[Tribonacci_C])-1)))^(1/4)*1/sqrt([Tribonacci_C]+1)
le(Short) = sqrt(TSA/3)*(((4*[Tribonacci_C])-3)/(22*((5*[Tribonacci_C])-1)))^(1/4)*1/sqrt([Tribonacci_C]+1)

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 Short Edge of Pentagonal Icositetrahedron given Total Surface Area?

Short Edge of Pentagonal Icositetrahedron given Total Surface Area calculator uses Short Edge of Pentagonal Icositetrahedron = sqrt(Total Surface Area of Pentagonal Icositetrahedron/3)*(((4*[Tribonacci_C])-3)/(22*((5*[Tribonacci_C])-1)))^(1/4)*1/sqrt([Tribonacci_C]+1) to calculate the Short Edge of Pentagonal Icositetrahedron, Short Edge of Pentagonal Icositetrahedron given Total Surface Area formula is defined as the length of shortest edge which is the base and middle edge of the axial-symmetric pentagonal faces of Pentagonal Icositetrahedron, calculated using total surface area of Pentagonal Icositetrahedron. Short Edge of Pentagonal Icositetrahedron is denoted by le(Short) symbol.

How to calculate Short Edge of Pentagonal Icositetrahedron given Total Surface Area using this online calculator? To use this online calculator for Short Edge of Pentagonal Icositetrahedron given Total Surface Area, enter Total Surface Area of Pentagonal Icositetrahedron (TSA) and hit the calculate button. Here is how the Short Edge of Pentagonal Icositetrahedron given Total Surface Area calculation can be explained with given input values -> 5.888439 = sqrt(1900/3)*(((4*[Tribonacci_C])-3)/(22*((5*[Tribonacci_C])-1)))^(1/4)*1/sqrt([Tribonacci_C]+1).

FAQ

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