Total Surface Area of Pentagonal Icositetrahedron given Surface to Volume Ratio Calculator

✖SA:V of Pentagonal Icositetrahedron is what part of or fraction of the total volume of Pentagonal Icositetrahedron is the total surface area.ⓘ SA:V of Pentagonal Icositetrahedron [R_A/V]

+10%

-10%

✖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 given Surface to Volume Ratio [TSA]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Total Surface Area of Pentagonal Icositetrahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Pentagonal Icositetrahedron = 3*((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)))))^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3))
TSA = 3*((3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/(R_A/V*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))))^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3))
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

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.
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.

STEP 1: Convert Input(s) to Base Unit

SA:V of Pentagonal Icositetrahedron: 0.3 1 per Meter --> 0.3 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = 3*((3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/(R_A/V*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))))^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)) --> 3*((3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/(0.3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))))^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3))

Evaluating ... ...

TSA = 1440.05989662364

STEP 3: Convert Result to Output's Unit

1440.05989662364 Square Meter --> No Conversion Required

FINAL ANSWER

1440.05989662364 ≈ 1440.06 Square Meter <-- Total Surface Area of Pentagonal Icositetrahedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » CatalanSolids » Pentagonal Icositetrahedron » Surface Area of Pentagonal Icositetrahedron » Total Surface Area of Pentagonal Icositetrahedron given Surface to Volume Ratio

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!

< Surface Area of Pentagonal Icositetrahedron Calculators

Total Surface Area of Pentagonal Icositetrahedron given Volume

LaTeX Go Total Surface Area of Pentagonal Icositetrahedron = 3*(Volume of Pentagonal Icositetrahedron^(1/3)*((2*((20*[Tribonacci_C])-37))/(11*([Tribonacci_C]-4)))^(1/6))^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3))

Total Surface Area of Pentagonal Icositetrahedron given Long Edge

LaTeX Go Total Surface Area of Pentagonal Icositetrahedron = 3*((2*Long Edge of Pentagonal Icositetrahedron)/sqrt([Tribonacci_C]+1))^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3))

Total Surface Area of Pentagonal Icositetrahedron given Short Edge

LaTeX Go Total Surface Area of Pentagonal Icositetrahedron = 3*(sqrt([Tribonacci_C]+1)*Short Edge of Pentagonal Icositetrahedron)^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3))

Total Surface Area of Pentagonal Icositetrahedron

LaTeX Go Total Surface Area of Pentagonal Icositetrahedron = 3*Snub Cube Edge of Pentagonal Icositetrahedron^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3))

Total Surface Area of Pentagonal Icositetrahedron given Surface to Volume Ratio 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 Total Surface Area of Pentagonal Icositetrahedron given Surface to Volume Ratio?

Total Surface Area of Pentagonal Icositetrahedron given Surface to Volume Ratio calculator uses Total Surface Area of Pentagonal Icositetrahedron = 3*((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)))))^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)) to calculate the Total Surface Area of Pentagonal Icositetrahedron, Total Surface Area of Pentagonal Icositetrahedron given Surface to Volume Ratio formula is defined as the amount or quantity of two dimensional space covered on the surface of Pentagonal Icositetrahedron, calculated using surface to volume ratio of Pentagonal Icositetrahedron. Total Surface Area of Pentagonal Icositetrahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Pentagonal Icositetrahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Total Surface Area of Pentagonal Icositetrahedron given Surface to Volume Ratio, enter SA:V of Pentagonal Icositetrahedron (R_A/V) and hit the calculate button. Here is how the Total Surface Area of Pentagonal Icositetrahedron given Surface to Volume Ratio calculation can be explained with given input values -> 1440.06 = 3*((3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/(0.3*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))))^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)).

FAQ

What is Total Surface Area of Pentagonal Icositetrahedron given Surface to Volume Ratio?

Total Surface Area of Pentagonal Icositetrahedron given Surface to Volume Ratio formula is defined as the amount or quantity of two dimensional space covered on the surface of Pentagonal Icositetrahedron, calculated using surface to volume ratio of Pentagonal Icositetrahedron and is represented as TSA = 3*((3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/(R_A/V*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))))^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)) or Total Surface Area of Pentagonal Icositetrahedron = 3*((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)))))^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)). SA:V of Pentagonal Icositetrahedron is what part of or fraction of the total volume of Pentagonal Icositetrahedron is the total surface area.

How to calculate Total Surface Area of Pentagonal Icositetrahedron given Surface to Volume Ratio?

Total Surface Area of Pentagonal Icositetrahedron given Surface to Volume Ratio formula is defined as the amount or quantity of two dimensional space covered on the surface of Pentagonal Icositetrahedron, calculated using surface to volume ratio of Pentagonal Icositetrahedron is calculated using Total Surface Area of Pentagonal Icositetrahedron = 3*((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)))))^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)). To calculate Total Surface Area of Pentagonal Icositetrahedron given Surface to Volume Ratio, you need SA:V of Pentagonal Icositetrahedron (R_A/V). With our tool, you need to enter the respective value for SA:V 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 Total Surface Area of Pentagonal Icositetrahedron?

In this formula, Total Surface Area of Pentagonal Icositetrahedron uses SA:V of Pentagonal Icositetrahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Total Surface Area of Pentagonal Icositetrahedron = 3*Snub Cube Edge of Pentagonal Icositetrahedron^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3))
Total Surface Area of Pentagonal Icositetrahedron = 3*(sqrt([Tribonacci_C]+1)*Short Edge of Pentagonal Icositetrahedron)^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3))
Total Surface Area of Pentagonal Icositetrahedron = 3*((2*Long Edge of Pentagonal Icositetrahedron)/sqrt([Tribonacci_C]+1))^2*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3))

Home

FREE PDFs

🔍 Search