Total Surface Area of Pentakis Dodecahedron given Leg Length Calculator

✖Leg Length of Pentakis Dodecahedron is the length of the equal sides of the isosceles triangular face of Pentakis Dodecahedron.ⓘ Leg Length of Pentakis Dodecahedron [l_Leg]

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✖Total Surface Area of Pentakis Dodecahedron is the amount or quantity of two dimensional space covered on the surface of Pentakis Dodecahedron.ⓘ Total Surface Area of Pentakis Dodecahedron given Leg Length [TSA]

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Total Surface Area of Pentakis Dodecahedron given Leg Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Pentakis Dodecahedron = (15/19)*(sqrt(413+(162*sqrt(5))))*(((38*Leg Length of Pentakis Dodecahedron)/(3*(9+sqrt(5))))^2)
TSA = (15/19)*(sqrt(413+(162*sqrt(5))))*(((38*l_Leg)/(3*(9+sqrt(5))))^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 Pentakis Dodecahedron - (Measured in Square Meter) - Total Surface Area of Pentakis Dodecahedron is the amount or quantity of two dimensional space covered on the surface of Pentakis Dodecahedron.
Leg Length of Pentakis Dodecahedron - (Measured in Meter) - Leg Length of Pentakis Dodecahedron is the length of the equal sides of the isosceles triangular face of Pentakis Dodecahedron.

STEP 1: Convert Input(s) to Base Unit

Leg Length of Pentakis Dodecahedron: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = (15/19)*(sqrt(413+(162*sqrt(5))))*(((38*l_Leg)/(3*(9+sqrt(5))))^2) --> (15/19)*(sqrt(413+(162*sqrt(5))))*(((38*9)/(3*(9+sqrt(5))))^2)

Evaluating ... ...

TSA = 2262.75521765676

STEP 3: Convert Result to Output's Unit

2262.75521765676 Square Meter --> No Conversion Required

FINAL ANSWER

2262.75521765676 ≈ 2262.755 Square Meter <-- Total Surface Area of Pentakis Dodecahedron

(Calculation completed in 00.004 seconds)

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< Surface Area of Pentakis Dodecahedron Calculators

Total Surface Area of Pentakis Dodecahedron given Volume

LaTeX Go Total Surface Area of Pentakis Dodecahedron = (15/19)*(sqrt(413+(162*sqrt(5))))*(((76*Volume of Pentakis Dodecahedron)/(15*(23+(11*sqrt(5)))))^(2/3))

Total Surface Area of Pentakis Dodecahedron given Midsphere Radius

LaTeX Go Total Surface Area of Pentakis Dodecahedron = (15/19)*(sqrt(413+(162*sqrt(5))))*(((4*Midsphere Radius of Pentakis Dodecahedron)/(3+sqrt(5)))^2)

Total Surface Area of Pentakis Dodecahedron given Leg Length

LaTeX Go Total Surface Area of Pentakis Dodecahedron = (15/19)*(sqrt(413+(162*sqrt(5))))*(((38*Leg Length of Pentakis Dodecahedron)/(3*(9+sqrt(5))))^2)

Total Surface Area of Pentakis Dodecahedron

LaTeX Go Total Surface Area of Pentakis Dodecahedron = (15/19)*(Base Length of Pentakis Dodecahedron^2)*(sqrt(413+(162*sqrt(5))))

Total Surface Area of Pentakis Dodecahedron given Leg Length Formula

LaTeX Go

What is Pentakis Dodecahedron ?

A Pentakis Dodecahedron is a polyhedron with isosceles triangle faces. Five of these are attached as a pyramid on each face of a dodecahedron.
It has 60 faces, 90 edges, 32 vertices.

How to Calculate Total Surface Area of Pentakis Dodecahedron given Leg Length?

Total Surface Area of Pentakis Dodecahedron given Leg Length calculator uses Total Surface Area of Pentakis Dodecahedron = (15/19)*(sqrt(413+(162*sqrt(5))))*(((38*Leg Length of Pentakis Dodecahedron)/(3*(9+sqrt(5))))^2) to calculate the Total Surface Area of Pentakis Dodecahedron, Total Surface Area of Pentakis Dodecahedron given Leg Length formula is defined as the amount or quantity of two-dimensional space covered on the surface of the Pentakis Dodecahedron, calculated using leg length of Pentakis Dodecahedron. Total Surface Area of Pentakis Dodecahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Pentakis Dodecahedron given Leg Length using this online calculator? To use this online calculator for Total Surface Area of Pentakis Dodecahedron given Leg Length, enter Leg Length of Pentakis Dodecahedron (l_Leg) and hit the calculate button. Here is how the Total Surface Area of Pentakis Dodecahedron given Leg Length calculation can be explained with given input values -> 2262.755 = (15/19)*(sqrt(413+(162*sqrt(5))))*(((38*9)/(3*(9+sqrt(5))))^2).

FAQ

What is Total Surface Area of Pentakis Dodecahedron given Leg Length?

Total Surface Area of Pentakis Dodecahedron given Leg Length formula is defined as the amount or quantity of two-dimensional space covered on the surface of the Pentakis Dodecahedron, calculated using leg length of Pentakis Dodecahedron and is represented as TSA = (15/19)*(sqrt(413+(162*sqrt(5))))*(((38*l_Leg)/(3*(9+sqrt(5))))^2) or Total Surface Area of Pentakis Dodecahedron = (15/19)*(sqrt(413+(162*sqrt(5))))*(((38*Leg Length of Pentakis Dodecahedron)/(3*(9+sqrt(5))))^2). Leg Length of Pentakis Dodecahedron is the length of the equal sides of the isosceles triangular face of Pentakis Dodecahedron.

How to calculate Total Surface Area of Pentakis Dodecahedron given Leg Length?

Total Surface Area of Pentakis Dodecahedron given Leg Length formula is defined as the amount or quantity of two-dimensional space covered on the surface of the Pentakis Dodecahedron, calculated using leg length of Pentakis Dodecahedron is calculated using Total Surface Area of Pentakis Dodecahedron = (15/19)*(sqrt(413+(162*sqrt(5))))*(((38*Leg Length of Pentakis Dodecahedron)/(3*(9+sqrt(5))))^2). To calculate Total Surface Area of Pentakis Dodecahedron given Leg Length, you need Leg Length of Pentakis Dodecahedron (l_Leg). With our tool, you need to enter the respective value for Leg Length of Pentakis Dodecahedron 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 Pentakis Dodecahedron?

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

Total Surface Area of Pentakis Dodecahedron = (15/19)*(Base Length of Pentakis Dodecahedron^2)*(sqrt(413+(162*sqrt(5))))
Total Surface Area of Pentakis Dodecahedron = (15/19)*(sqrt(413+(162*sqrt(5))))*(((76*Volume of Pentakis Dodecahedron)/(15*(23+(11*sqrt(5)))))^(2/3))
Total Surface Area of Pentakis Dodecahedron = (15/19)*(sqrt(413+(162*sqrt(5))))*(((4*Midsphere Radius of Pentakis Dodecahedron)/(3+sqrt(5)))^2)

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