Total Surface Area of Pentagonal Hexecontahedron given Snub Dodecahedron Edge Calculator

✖Snub Dodecahedron Edge Pentagonal Hexecontahedron is the length of any edge of the Snub Dodecahedron of which the dual body is the Pentagonal Hexecontahedron.ⓘ Snub Dodecahedron Edge Pentagonal Hexecontahedron [l_{e(Snub Dodecahedron)}]

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✖Total Surface Area of Pentagonal Hexecontahedron is the amount or quantity of two dimensional space covered on the surface of Pentagonal Hexecontahedron.ⓘ Total Surface Area of Pentagonal Hexecontahedron given Snub Dodecahedron Edge [TSA]

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Total Surface Area of Pentagonal Hexecontahedron given Snub Dodecahedron Edge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Pentagonal Hexecontahedron = 30*(Snub Dodecahedron Edge Pentagonal Hexecontahedron/sqrt(2+2*(0.4715756)))^2*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2)
TSA = 30*(l_{e(Snub Dodecahedron)}/sqrt(2+2*(0.4715756)))^2*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2)
This formula uses 1 Functions, 2 Variables

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 Hexecontahedron - (Measured in Square Meter) - Total Surface Area of Pentagonal Hexecontahedron is the amount or quantity of two dimensional space covered on the surface of Pentagonal Hexecontahedron.
Snub Dodecahedron Edge Pentagonal Hexecontahedron - (Measured in Meter) - Snub Dodecahedron Edge Pentagonal Hexecontahedron is the length of any edge of the Snub Dodecahedron of which the dual body is the Pentagonal Hexecontahedron.

STEP 1: Convert Input(s) to Base Unit

Snub Dodecahedron Edge Pentagonal Hexecontahedron: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = 30*(l_{e(Snub Dodecahedron)}/sqrt(2+2*(0.4715756)))^2*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2) --> 30*(7/sqrt(2+2*(0.4715756)))^2*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2)

Evaluating ... ...

TSA = 2708.74577533654

STEP 3: Convert Result to Output's Unit

2708.74577533654 Square Meter --> No Conversion Required

FINAL ANSWER

2708.74577533654 ≈ 2708.746 Square Meter <-- Total Surface Area of Pentagonal Hexecontahedron

(Calculation completed in 00.004 seconds)

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< Surface Area of Pentagonal Hexecontahedron Calculators

Total Surface Area of Pentagonal Hexecontahedron given Long Edge

LaTeX Go Total Surface Area of Pentagonal Hexecontahedron = 30*((31*Long Edge of Pentagonal Hexecontahedron)/(((7*[phi]+2)+(5*[phi]-3)+2*(8-3*[phi]))*sqrt(2+2*(0.4715756))))^2*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2)

Total Surface Area of Pentagonal Hexecontahedron given Volume

LaTeX Go Total Surface Area of Pentagonal Hexecontahedron = 30*((Volume of Pentagonal Hexecontahedron*(1-2*0.4715756^2)*sqrt(1-2*0.4715756))/(5*(1+0.4715756)*(2+3*0.4715756)))^(2/3)*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2)

Total Surface Area of Pentagonal Hexecontahedron given Snub Dodecahedron Edge

LaTeX Go Total Surface Area of Pentagonal Hexecontahedron = 30*(Snub Dodecahedron Edge Pentagonal Hexecontahedron/sqrt(2+2*(0.4715756)))^2*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2)

Total Surface Area of Pentagonal Hexecontahedron

LaTeX Go Total Surface Area of Pentagonal Hexecontahedron = 30*Short Edge of Pentagonal Hexecontahedron^2*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2)

Total Surface Area of Pentagonal Hexecontahedron given Snub Dodecahedron Edge Formula

LaTeX Go

What is Pentagonal Hexecontahedron?

In geometry, a Pentagonal Hexecontahedron is a Catalan solid, dual of the snub dodecahedron. It has two distinct forms, which are mirror images (or "enantiomorphs") of each other. It has 60 faces, 150 edges, 92 vertices. It is the Catalan solid with the most vertices. Among the Catalan and Archimedean solids, it has the second largest number of vertices, after the truncated icosidodecahedron, which has 120 vertices.

How to Calculate Total Surface Area of Pentagonal Hexecontahedron given Snub Dodecahedron Edge?

Total Surface Area of Pentagonal Hexecontahedron given Snub Dodecahedron Edge calculator uses Total Surface Area of Pentagonal Hexecontahedron = 30*(Snub Dodecahedron Edge Pentagonal Hexecontahedron/sqrt(2+2*(0.4715756)))^2*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2) to calculate the Total Surface Area of Pentagonal Hexecontahedron, Total Surface Area of Pentagonal Hexecontahedron given Snub Dodecahedron Edge formula is defined as the amount or quantity of two-dimensional space covered by the surface of the Pentagonal Hexecontahedron, calculated using the snub dodecahedron edge of the Pentagonal Hexecontahedron. Total Surface Area of Pentagonal Hexecontahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Pentagonal Hexecontahedron given Snub Dodecahedron Edge using this online calculator? To use this online calculator for Total Surface Area of Pentagonal Hexecontahedron given Snub Dodecahedron Edge, enter Snub Dodecahedron Edge Pentagonal Hexecontahedron (l_{e(Snub Dodecahedron)}) and hit the calculate button. Here is how the Total Surface Area of Pentagonal Hexecontahedron given Snub Dodecahedron Edge calculation can be explained with given input values -> 2708.746 = 30*(7/sqrt(2+2*(0.4715756)))^2*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2).

FAQ

What is Total Surface Area of Pentagonal Hexecontahedron given Snub Dodecahedron Edge?

Total Surface Area of Pentagonal Hexecontahedron given Snub Dodecahedron Edge formula is defined as the amount or quantity of two-dimensional space covered by the surface of the Pentagonal Hexecontahedron, calculated using the snub dodecahedron edge of the Pentagonal Hexecontahedron and is represented as TSA = 30*(l_{e(Snub Dodecahedron)}/sqrt(2+2*(0.4715756)))^2*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2) or Total Surface Area of Pentagonal Hexecontahedron = 30*(Snub Dodecahedron Edge Pentagonal Hexecontahedron/sqrt(2+2*(0.4715756)))^2*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2). Snub Dodecahedron Edge Pentagonal Hexecontahedron is the length of any edge of the Snub Dodecahedron of which the dual body is the Pentagonal Hexecontahedron.

How to calculate Total Surface Area of Pentagonal Hexecontahedron given Snub Dodecahedron Edge?

Total Surface Area of Pentagonal Hexecontahedron given Snub Dodecahedron Edge formula is defined as the amount or quantity of two-dimensional space covered by the surface of the Pentagonal Hexecontahedron, calculated using the snub dodecahedron edge of the Pentagonal Hexecontahedron is calculated using Total Surface Area of Pentagonal Hexecontahedron = 30*(Snub Dodecahedron Edge Pentagonal Hexecontahedron/sqrt(2+2*(0.4715756)))^2*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2). To calculate Total Surface Area of Pentagonal Hexecontahedron given Snub Dodecahedron Edge, you need Snub Dodecahedron Edge Pentagonal Hexecontahedron (l_{e(Snub Dodecahedron)}). With our tool, you need to enter the respective value for Snub Dodecahedron Edge Pentagonal Hexecontahedron 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 Hexecontahedron?

In this formula, Total Surface Area of Pentagonal Hexecontahedron uses Snub Dodecahedron Edge Pentagonal Hexecontahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Total Surface Area of Pentagonal Hexecontahedron = 30*((31*Long Edge of Pentagonal Hexecontahedron)/(((7*[phi]+2)+(5*[phi]-3)+2*(8-3*[phi]))*sqrt(2+2*(0.4715756))))^2*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2)
Total Surface Area of Pentagonal Hexecontahedron = 30*Short Edge of Pentagonal Hexecontahedron^2*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2)
Total Surface Area of Pentagonal Hexecontahedron = 30*((Volume of Pentagonal Hexecontahedron*(1-2*0.4715756^2)*sqrt(1-2*0.4715756))/(5*(1+0.4715756)*(2+3*0.4715756)))^(2/3)*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2)

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