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

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Formula

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Volume of Pentakis Dodecahedron given Total Surface Area

Formula

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

Example

`"9405.981m³"=(15/76)*(23+(11*sqrt(5)))*(((19*"2200m²")/(15*(sqrt(413+(162*sqrt(5))))))^(3/2))`

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Volume of Pentakis Dodecahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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

V = (15/76)*(23+(11*sqrt(5)))*(((19*TSA)/(15*(sqrt(413+(162*sqrt(5))))))^(3/2)) --> (15/76)*(23+(11*sqrt(5)))*(((19*2200)/(15*(sqrt(413+(162*sqrt(5))))))^(3/2))

Evaluating ... ...

V = 9405.98072152113

STEP 3: Convert Result to Output's Unit

9405.98072152113 Cubic Meter --> No Conversion Required

FINAL ANSWER

9405.98072152113 ≈ 9405.981 Cubic Meter <-- Volume 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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< 6 Volume of Pentakis Dodecahedron Calculators

Volume of Pentakis Dodecahedron given Surface to Volume Ratio

Go Volume of Pentakis Dodecahedron = (15/76)*(23+(11*sqrt(5)))*(((76/19)/(Surface to Volume Ratio of Pentakis Dodecahedron))^3)*((sqrt((413+(162*sqrt(5))))/(23+(11*sqrt(5))))^3)

Volume of Pentakis Dodecahedron given Total Surface Area

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

Volume of Pentakis Dodecahedron given Insphere Radius

Go Volume of Pentakis Dodecahedron = (15/76)*(23+(11*sqrt(5)))*(((2*Insphere Radius of Pentakis Dodecahedron)/(3*(sqrt((81+(35*sqrt(5)))/218))))^3)

Volume of Pentakis Dodecahedron given Midsphere Radius

Go Volume of Pentakis Dodecahedron = (15/76)*(23+(11*sqrt(5)))*(((4*Midsphere Radius of Pentakis Dodecahedron)/(3+sqrt(5)))^3)

Volume of Pentakis Dodecahedron given Leg Length

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

Volume of Pentakis Dodecahedron

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

Volume of Pentakis Dodecahedron given Total Surface Area Formula

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 Volume of Pentakis Dodecahedron given Total Surface Area?

Volume of Pentakis Dodecahedron given Total Surface Area calculator uses Volume of Pentakis Dodecahedron = (15/76)*(23+(11*sqrt(5)))*(((19*Total Surface Area of Pentakis Dodecahedron)/(15*(sqrt(413+(162*sqrt(5))))))^(3/2)) to calculate the Volume of Pentakis Dodecahedron, Volume of Pentakis Dodecahedron given Total Surface Area formula is defined as quantity of three dimensional space covered by closed surface of Pentakis Dodecahedron, calculated using total surface area of Pentakis Dodecahedron. Volume of Pentakis Dodecahedron is denoted by V symbol.

How to calculate Volume of Pentakis Dodecahedron given Total Surface Area using this online calculator? To use this online calculator for Volume of Pentakis Dodecahedron given Total Surface Area, enter Total Surface Area of Pentakis Dodecahedron (TSA) and hit the calculate button. Here is how the Volume of Pentakis Dodecahedron given Total Surface Area calculation can be explained with given input values -> 9405.981 = (15/76)*(23+(11*sqrt(5)))*(((19*2200)/(15*(sqrt(413+(162*sqrt(5))))))^(3/2)).

FAQ

What is Volume of Pentakis Dodecahedron given Total Surface Area?

Volume of Pentakis Dodecahedron given Total Surface Area formula is defined as quantity of three dimensional space covered by closed surface of Pentakis Dodecahedron, calculated using total surface area of Pentakis Dodecahedron and is represented as V = (15/76)*(23+(11*sqrt(5)))*(((19*TSA)/(15*(sqrt(413+(162*sqrt(5))))))^(3/2)) or Volume of Pentakis Dodecahedron = (15/76)*(23+(11*sqrt(5)))*(((19*Total Surface Area of Pentakis Dodecahedron)/(15*(sqrt(413+(162*sqrt(5))))))^(3/2)). 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 Volume of Pentakis Dodecahedron given Total Surface Area?

Volume of Pentakis Dodecahedron given Total Surface Area formula is defined as quantity of three dimensional space covered by closed surface of Pentakis Dodecahedron, calculated using total surface area of Pentakis Dodecahedron is calculated using Volume of Pentakis Dodecahedron = (15/76)*(23+(11*sqrt(5)))*(((19*Total Surface Area of Pentakis Dodecahedron)/(15*(sqrt(413+(162*sqrt(5))))))^(3/2)). To calculate Volume 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 Volume of Pentakis Dodecahedron?

In this formula, Volume 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 -

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

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