Total Surface Area of Pentagonal Hexecontahedron Calculator

✖Short Edge of Pentagonal Hexecontahedron is the length of the shortest edge which is the base and middle edge of the axial-symmetric pentagonal faces of the Pentagonal Hexecontahedron.ⓘ Short Edge of Pentagonal Hexecontahedron [l_e(Short)]

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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 [TSA]

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Total Surface Area of Pentagonal Hexecontahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
TSA = 30*l_e(Short)^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.
Short Edge of Pentagonal Hexecontahedron - (Measured in Meter) - Short Edge of Pentagonal Hexecontahedron is the length of the shortest edge which is the base and middle edge of the axial-symmetric pentagonal faces of the Pentagonal Hexecontahedron.

STEP 1: Convert Input(s) to Base Unit

Short Edge of Pentagonal Hexecontahedron: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = 30*l_e(Short)^2*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2) --> 30*4^2*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2)

Evaluating ... ...

TSA = 2603.18314422096

STEP 3: Convert Result to Output's Unit

2603.18314422096 Square Meter --> No Conversion Required

FINAL ANSWER

2603.18314422096 ≈ 2603.183 Square Meter <-- Total Surface Area of Pentagonal Hexecontahedron

(Calculation completed in 00.006 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Indian Institute of Information Technology (IIIT), Bhopal

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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 Formula

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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?

Total Surface Area of Pentagonal Hexecontahedron calculator uses 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) to calculate the Total Surface Area of Pentagonal Hexecontahedron, Total Surface Area of Pentagonal Hexecontahedron formula is defined as the amount or quantity of two-dimensional space covered by the surface of the Pentagonal Hexecontahedron. Total Surface Area of Pentagonal Hexecontahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Pentagonal Hexecontahedron using this online calculator? To use this online calculator for Total Surface Area of Pentagonal Hexecontahedron, enter Short Edge of Pentagonal Hexecontahedron (l_e(Short)) and hit the calculate button. Here is how the Total Surface Area of Pentagonal Hexecontahedron calculation can be explained with given input values -> 2603.183 = 30*4^2*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2).

FAQ

What is Total Surface Area of Pentagonal Hexecontahedron?

Total Surface Area of Pentagonal Hexecontahedron formula is defined as the amount or quantity of two-dimensional space covered by the surface of the Pentagonal Hexecontahedron and is represented as TSA = 30*l_e(Short)^2*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2) or 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). Short Edge of Pentagonal Hexecontahedron is the length of the shortest edge which is the base and middle edge of the axial-symmetric pentagonal faces of the Pentagonal Hexecontahedron.

How to calculate Total Surface Area of Pentagonal Hexecontahedron?

Total Surface Area of Pentagonal Hexecontahedron formula is defined as the amount or quantity of two-dimensional space covered by the surface of the Pentagonal Hexecontahedron is calculated using 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). To calculate Total Surface Area of Pentagonal Hexecontahedron, you need Short Edge of Pentagonal Hexecontahedron (l_e(Short)). With our tool, you need to enter the respective value for Short Edge of 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 Short Edge of 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*(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 = 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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