Leg Length of Pentakis Dodecahedron given Total Surface Area Calculator

✖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 [TSA]

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✖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 given Total Surface Area [l_Leg]

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Leg Length of Pentakis Dodecahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Leg Length of Pentakis Dodecahedron = (3/38)*(9+sqrt(5))*(sqrt((19*Total Surface Area of Pentakis Dodecahedron)/(15*(sqrt(413+(162*sqrt(5)))))))
l_Leg = (3/38)*(9+sqrt(5))*(sqrt((19*TSA)/(15*(sqrt(413+(162*sqrt(5)))))))
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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Pentakis Dodecahedron: 2200 Square Meter --> 2200 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Leg = (3/38)*(9+sqrt(5))*(sqrt((19*TSA)/(15*(sqrt(413+(162*sqrt(5))))))) --> (3/38)*(9+sqrt(5))*(sqrt((19*2200)/(15*(sqrt(413+(162*sqrt(5)))))))

Evaluating ... ...

l_Leg = 8.8743195385661

STEP 3: Convert Result to Output's Unit

8.8743195385661 Meter --> No Conversion Required

FINAL ANSWER

8.8743195385661 ≈ 8.87432 Meter <-- Leg Length of Pentakis Dodecahedron

(Calculation completed in 00.020 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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< Leg Length of Pentakis Dodecahedron Calculators

Leg Length of Pentakis Dodecahedron given Total Surface Area

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

Leg Length of Pentakis Dodecahedron given Volume

LaTeX Go Leg Length of Pentakis Dodecahedron = (3/38)*(9+sqrt(5))*(((76*Volume of Pentakis Dodecahedron)/(15*(23+(11*sqrt(5)))))^(1/3))

Leg Length of Pentakis Dodecahedron given Midsphere Radius

LaTeX Go Leg Length of Pentakis Dodecahedron = (3/38)*(9+sqrt(5))*((4*Midsphere Radius of Pentakis Dodecahedron)/(3+sqrt(5)))

Leg Length of Pentakis Dodecahedron

LaTeX Go Leg Length of Pentakis Dodecahedron = (3/38)*(9+sqrt(5))*Base Length of Pentakis Dodecahedron

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

Leg Length of Pentakis Dodecahedron given Total Surface Area calculator uses Leg Length of Pentakis Dodecahedron = (3/38)*(9+sqrt(5))*(sqrt((19*Total Surface Area of Pentakis Dodecahedron)/(15*(sqrt(413+(162*sqrt(5))))))) to calculate the Leg Length of Pentakis Dodecahedron, Leg Length of Pentakis Dodecahedron given Total Surface Area formula is defined as the length of the equal sides of the isosceles triangular face of Pentakis Dodecahedron, calculated using total surface area of Pentakis Dodecahedron. Leg Length of Pentakis Dodecahedron is denoted by l_Leg symbol.

How to calculate Leg Length of Pentakis Dodecahedron given Total Surface Area using this online calculator? To use this online calculator for Leg Length of Pentakis Dodecahedron given Total Surface Area, enter Total Surface Area of Pentakis Dodecahedron (TSA) and hit the calculate button. Here is how the Leg Length of Pentakis Dodecahedron given Total Surface Area calculation can be explained with given input values -> 8.87432 = (3/38)*(9+sqrt(5))*(sqrt((19*2200)/(15*(sqrt(413+(162*sqrt(5))))))).

FAQ

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

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

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

Leg Length of Pentakis Dodecahedron given Total Surface Area formula is defined as the length of the equal sides of the isosceles triangular face of Pentakis Dodecahedron, calculated using total surface area of Pentakis Dodecahedron is calculated using Leg Length of Pentakis Dodecahedron = (3/38)*(9+sqrt(5))*(sqrt((19*Total Surface Area of Pentakis Dodecahedron)/(15*(sqrt(413+(162*sqrt(5))))))). To calculate Leg Length of Pentakis Dodecahedron given Total Surface Area, you need Total Surface Area of Pentakis Dodecahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area 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 Leg Length of Pentakis Dodecahedron?

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

Leg Length of Pentakis Dodecahedron = (3/38)*(9+sqrt(5))*Base Length of Pentakis Dodecahedron
Leg Length of Pentakis Dodecahedron = (3/38)*(9+sqrt(5))*(((76*Volume of Pentakis Dodecahedron)/(15*(23+(11*sqrt(5)))))^(1/3))
Leg Length of Pentakis Dodecahedron = (3/38)*(9+sqrt(5))*((4*Midsphere Radius of Pentakis Dodecahedron)/(3+sqrt(5)))

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