Short Edge of Pentagonal Icositetrahedron given Total Surface Area Calculator

✖Total Surface Area of Pentagonal Icositetrahedron is the amount or quantity of two dimensional space covered on the surface of Pentagonal Icositetrahedron.ⓘ Total Surface Area of Pentagonal Icositetrahedron [TSA]

+10%

-10%

✖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.ⓘ Short Edge of Pentagonal Icositetrahedron given Total Surface Area [l_e(Short)]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

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)
l_e(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

l_e(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 ... ...

l_e(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 00.020 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » CatalanSolids » Pentagonal Icositetrahedron » Edge of Pentagonal Icositetrahedron » Short Edge of Pentagonal Icositetrahedron » Short Edge of Pentagonal Icositetrahedron given Total Surface Area

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!

< Short Edge of Pentagonal Icositetrahedron Calculators

Short Edge of Pentagonal Icositetrahedron given Total Surface Area

LaTeX 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

LaTeX 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

LaTeX Go Short Edge of Pentagonal Icositetrahedron = Snub Cube Edge of Pentagonal Icositetrahedron/sqrt([Tribonacci_C]+1)

Short Edge of Pentagonal Icositetrahedron given Long Edge

LaTeX 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

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 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 l_e(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 l_e(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 3 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)

Home

FREE PDFs

🔍 Search