Base 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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✖Base Length of Pentakis Dodecahedron is the length of the base of the isosceles triangular face of Pentakis Dodecahedron.ⓘ Base Length of Pentakis Dodecahedron given Total Surface Area [l_Base]

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Formula

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Base Length of Pentakis Dodecahedron given Total Surface Area

Formula

`"l"_{"Base"} = sqrt((19*"TSA")/(15*(sqrt(413+(162*sqrt(5))))))`

Example

`"10.00422m"=sqrt((19*"2200m²")/(15*(sqrt(413+(162*sqrt(5))))))`

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Base Length of Pentakis Dodecahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Base Length of Pentakis Dodecahedron - (Measured in Meter) - Base Length of Pentakis Dodecahedron is the length of the base 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_Base = sqrt((19*TSA)/(15*(sqrt(413+(162*sqrt(5)))))) --> sqrt((19*2200)/(15*(sqrt(413+(162*sqrt(5))))))

Evaluating ... ...

l_Base = 10.0042156841344

STEP 3: Convert Result to Output's Unit

10.0042156841344 Meter --> No Conversion Required

FINAL ANSWER

10.0042156841344 ≈ 10.00422 Meter <-- Base Length of Pentakis Dodecahedron

(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli

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< 6 Base Length of Pentakis Dodecahedron Calculators

Base Length of Pentakis Dodecahedron given Surface to Volume Ratio

Go Base Length of Pentakis Dodecahedron = ((76/19)*(sqrt(413+(162*sqrt(5)))))/(Surface to Volume Ratio of Pentakis Dodecahedron*(23+(11*sqrt(5))))

Base Length of Pentakis Dodecahedron given Total Surface Area

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

Base Length of Pentakis Dodecahedron given Insphere Radius

Go Base Length of Pentakis Dodecahedron = (2*Insphere Radius of Pentakis Dodecahedron)/(3*(sqrt((81+(35*sqrt(5)))/218)))

Base Length of Pentakis Dodecahedron given Volume

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

Base Length of Pentakis Dodecahedron given Midsphere Radius

Go Base Length of Pentakis Dodecahedron = (4*Midsphere Radius of Pentakis Dodecahedron)/(3+sqrt(5))

Base Length of Pentakis Dodecahedron given Leg Length

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

Base Length of Pentakis Dodecahedron given Total Surface Area Formula

Base Length of Pentakis Dodecahedron = sqrt((19*Total Surface Area of Pentakis Dodecahedron)/(15*(sqrt(413+(162*sqrt(5))))))
l_Base = sqrt((19*TSA)/(15*(sqrt(413+(162*sqrt(5))))))

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 Base Length of Pentakis Dodecahedron given Total Surface Area?

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

How to calculate Base Length of Pentakis Dodecahedron given Total Surface Area using this online calculator? To use this online calculator for Base 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 Base Length of Pentakis Dodecahedron given Total Surface Area calculation can be explained with given input values -> 10.00422 = sqrt((19*2200)/(15*(sqrt(413+(162*sqrt(5)))))).

FAQ

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

Base Length of Pentakis Dodecahedron given Total surface Area formula is defined as the length of the base of the isosceles triangular face of Pentakis Dodecahedron, calculated using total surface area of Pentakis Dodecahedron and is represented as l_Base = sqrt((19*TSA)/(15*(sqrt(413+(162*sqrt(5)))))) or Base Length of Pentakis Dodecahedron = 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 Base Length of Pentakis Dodecahedron given Total Surface Area?

Base Length of Pentakis Dodecahedron given Total surface Area formula is defined as the length of the base of the isosceles triangular face of Pentakis Dodecahedron, calculated using total surface area of Pentakis Dodecahedron is calculated using Base Length of Pentakis Dodecahedron = sqrt((19*Total Surface Area of Pentakis Dodecahedron)/(15*(sqrt(413+(162*sqrt(5)))))). To calculate Base 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 Base Length of Pentakis Dodecahedron?

In this formula, Base Length of Pentakis Dodecahedron uses Total Surface Area of Pentakis Dodecahedron. We can use 5 other way(s) to calculate the same, which is/are as follows -

Base Length of Pentakis Dodecahedron = (38*Leg Length of Pentakis Dodecahedron)/(3*(9+sqrt(5)))
Base Length of Pentakis Dodecahedron = (((76*Volume of Pentakis Dodecahedron)/(15*(23+(11*sqrt(5)))))^(1/3))
Base Length of Pentakis Dodecahedron = (4*Midsphere Radius of Pentakis Dodecahedron)/(3+sqrt(5))
Base Length of Pentakis Dodecahedron = (2*Insphere Radius of Pentakis Dodecahedron)/(3*(sqrt((81+(35*sqrt(5)))/218)))
Base Length of Pentakis Dodecahedron = ((76/19)*(sqrt(413+(162*sqrt(5)))))/(Surface to Volume Ratio of Pentakis Dodecahedron*(23+(11*sqrt(5))))

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