Volume of Pentakis Dodecahedron Calculator

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

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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 [V]

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Formula

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Volume of Pentakis Dodecahedron

Formula

`"V" = (15/76)*("l"_{"Base"}^3)*(23+(11*sqrt(5)))`

Example

`"9394.095m³"=(15/76)*(("10m")^3)*(23+(11*sqrt(5)))`

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Volume of Pentakis Dodecahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Base Length of Pentakis Dodecahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (15/76)*(l_Base^3)*(23+(11*sqrt(5))) --> (15/76)*(10^3)*(23+(11*sqrt(5)))

Evaluating ... ...

V = 9394.09495115086

STEP 3: Convert Result to Output's Unit

9394.09495115086 Cubic Meter --> No Conversion Required

FINAL ANSWER

9394.09495115086 ≈ 9394.095 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

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mridul Sharma

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 Formula

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

Volume of Pentakis Dodecahedron calculator uses Volume of Pentakis Dodecahedron = (15/76)*(Base Length of Pentakis Dodecahedron^3)*(23+(11*sqrt(5))) to calculate the Volume of Pentakis Dodecahedron, Volume of Pentakis Dodecahedron formula is defined as the quantity of three-dimensional space covered by the closed surface of the Pentakis Dodecahedron. Volume of Pentakis Dodecahedron is denoted by V symbol.

How to calculate Volume of Pentakis Dodecahedron using this online calculator? To use this online calculator for Volume of Pentakis Dodecahedron, enter Base Length of Pentakis Dodecahedron (l_Base) and hit the calculate button. Here is how the Volume of Pentakis Dodecahedron calculation can be explained with given input values -> 9394.095 = (15/76)*(10^3)*(23+(11*sqrt(5))).

FAQ

What is Volume of Pentakis Dodecahedron?

Volume of Pentakis Dodecahedron formula is defined as the quantity of three-dimensional space covered by the closed surface of the Pentakis Dodecahedron and is represented as V = (15/76)*(l_Base^3)*(23+(11*sqrt(5))) or Volume of Pentakis Dodecahedron = (15/76)*(Base Length of Pentakis Dodecahedron^3)*(23+(11*sqrt(5))). Base Length of Pentakis Dodecahedron is the length of the base of the isosceles triangular face of Pentakis Dodecahedron.

How to calculate Volume of Pentakis Dodecahedron?

Volume of Pentakis Dodecahedron formula is defined as the quantity of three-dimensional space covered by the closed surface of the Pentakis Dodecahedron is calculated using Volume of Pentakis Dodecahedron = (15/76)*(Base Length of Pentakis Dodecahedron^3)*(23+(11*sqrt(5))). To calculate Volume of Pentakis Dodecahedron, you need Base Length of Pentakis Dodecahedron (l_Base). With our tool, you need to enter the respective value for Base 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 Volume of Pentakis Dodecahedron?

In this formula, Volume of Pentakis Dodecahedron uses Base Length 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)*(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)))*(((19*Total Surface Area of Pentakis Dodecahedron)/(15*(sqrt(413+(162*sqrt(5))))))^(3/2))
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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