Total Surface Area of Pentakis Dodecahedron given Volume Calculator

✖Volume of Pentakis Dodecahedron is the quantity of three dimensional space enclosed by the entire surface of Pentakis Dodecahedron.ⓘ Volume of Pentakis Dodecahedron [V]

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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 Volume [TSA]

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Total Surface Area of Pentakis Dodecahedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
TSA = (15/19)*(sqrt(413+(162*sqrt(5))))*(((76*V)/(15*(23+(11*sqrt(5)))))^(2/3))
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.
Volume of Pentakis Dodecahedron - (Measured in Cubic Meter) - Volume of Pentakis Dodecahedron is the quantity of three dimensional space enclosed by the entire surface of Pentakis Dodecahedron.

STEP 1: Convert Input(s) to Base Unit

Volume of Pentakis Dodecahedron: 9400 Cubic Meter --> 9400 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = (15/19)*(sqrt(413+(162*sqrt(5))))*(((76*V)/(15*(23+(11*sqrt(5)))))^(2/3)) --> (15/19)*(sqrt(413+(162*sqrt(5))))*(((76*9400)/(15*(23+(11*sqrt(5)))))^(2/3))

Evaluating ... ...

TSA = 2199.06733226522

STEP 3: Convert Result to Output's Unit

2199.06733226522 Square Meter --> No Conversion Required

FINAL ANSWER

2199.06733226522 ≈ 2199.067 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 Volume 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 Volume?

Total Surface Area of Pentakis Dodecahedron given Volume calculator uses 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)) to calculate the Total Surface Area of Pentakis Dodecahedron, Total Surface Area of Pentakis Dodecahedron given Volume formula is defined as the amount or quantity of two-dimensional space covered on the surface of the Pentakis Dodecahedron, calculated using volume of Pentakis Dodecahedron. Total Surface Area of Pentakis Dodecahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Pentakis Dodecahedron given Volume using this online calculator? To use this online calculator for Total Surface Area of Pentakis Dodecahedron given Volume, enter Volume of Pentakis Dodecahedron (V) and hit the calculate button. Here is how the Total Surface Area of Pentakis Dodecahedron given Volume calculation can be explained with given input values -> 2199.067 = (15/19)*(sqrt(413+(162*sqrt(5))))*(((76*9400)/(15*(23+(11*sqrt(5)))))^(2/3)).

FAQ

What is Total Surface Area of Pentakis Dodecahedron given Volume?

Total Surface Area of Pentakis Dodecahedron given Volume formula is defined as the amount or quantity of two-dimensional space covered on the surface of the Pentakis Dodecahedron, calculated using volume of Pentakis Dodecahedron and is represented as TSA = (15/19)*(sqrt(413+(162*sqrt(5))))*(((76*V)/(15*(23+(11*sqrt(5)))))^(2/3)) or 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)). Volume of Pentakis Dodecahedron is the quantity of three dimensional space enclosed by the entire surface of Pentakis Dodecahedron.

How to calculate Total Surface Area of Pentakis Dodecahedron given Volume?

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