Volume of Pentakis Dodecahedron given Surface to Volume Ratio Calculator

✖Surface to Volume Ratio of Pentakis Dodecahedron is what part of or fraction of total volume of Pentakis Dodecahedron is the total surface area.ⓘ Surface to Volume Ratio of Pentakis Dodecahedron [R_A/V]

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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 Surface to Volume Ratio [V]

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Volume of Pentakis Dodecahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
V = (15/76)*(23+(11*sqrt(5)))*(((76/19)/(R_A/V))^3)*((sqrt((413+(162*sqrt(5))))/(23+(11*sqrt(5))))^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

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.
Surface to Volume Ratio of Pentakis Dodecahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Pentakis Dodecahedron is what part of or fraction of total volume of Pentakis Dodecahedron is the total surface area.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Pentakis Dodecahedron: 0.2 1 per Meter --> 0.2 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (15/76)*(23+(11*sqrt(5)))*(((76/19)/(R_A/V))^3)*((sqrt((413+(162*sqrt(5))))/(23+(11*sqrt(5))))^3) --> (15/76)*(23+(11*sqrt(5)))*(((76/19)/(0.2))^3)*((sqrt((413+(162*sqrt(5))))/(23+(11*sqrt(5))))^3)

Evaluating ... ...

V = 15044.2273155497

STEP 3: Convert Result to Output's Unit

15044.2273155497 Cubic Meter --> No Conversion Required

FINAL ANSWER

15044.2273155497 ≈ 15044.23 Cubic Meter <-- Volume of Pentakis Dodecahedron

(Calculation completed in 00.004 seconds)

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< Volume of Pentakis Dodecahedron Calculators

Volume of Pentakis Dodecahedron given Total Surface Area

LaTeX 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 Midsphere Radius

LaTeX 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

LaTeX 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

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

Volume of Pentakis Dodecahedron given Surface to Volume Ratio 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 Volume of Pentakis Dodecahedron given Surface to Volume Ratio?

Volume of Pentakis Dodecahedron given Surface to Volume Ratio calculator uses 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) to calculate the Volume of Pentakis Dodecahedron, Volume of Pentakis Dodecahedron given Surface to Volume Ratio formula is defined as quantity of three dimensional space covered by closed surface of Pentakis Dodecahedron, calculated using surface to volume ratio of Pentakis Dodecahedron. Volume of Pentakis Dodecahedron is denoted by V symbol.

How to calculate Volume of Pentakis Dodecahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Volume of Pentakis Dodecahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Pentakis Dodecahedron (R_A/V) and hit the calculate button. Here is how the Volume of Pentakis Dodecahedron given Surface to Volume Ratio calculation can be explained with given input values -> 15044.23 = (15/76)*(23+(11*sqrt(5)))*(((76/19)/(0.2))^3)*((sqrt((413+(162*sqrt(5))))/(23+(11*sqrt(5))))^3).

FAQ

What is Volume of Pentakis Dodecahedron given Surface to Volume Ratio?

Volume of Pentakis Dodecahedron given Surface to Volume Ratio formula is defined as quantity of three dimensional space covered by closed surface of Pentakis Dodecahedron, calculated using surface to volume ratio of Pentakis Dodecahedron and is represented as V = (15/76)*(23+(11*sqrt(5)))*(((76/19)/(R_A/V))^3)*((sqrt((413+(162*sqrt(5))))/(23+(11*sqrt(5))))^3) or 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). Surface to Volume Ratio of Pentakis Dodecahedron is what part of or fraction of total volume of Pentakis Dodecahedron is the total surface area.

How to calculate Volume of Pentakis Dodecahedron given Surface to Volume Ratio?

Volume of Pentakis Dodecahedron given Surface to Volume Ratio formula is defined as quantity of three dimensional space covered by closed surface of Pentakis Dodecahedron, calculated using surface to volume ratio of Pentakis Dodecahedron is calculated using 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). To calculate Volume of Pentakis Dodecahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Pentakis Dodecahedron (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio 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 Surface to Volume Ratio of Pentakis Dodecahedron. We can use 3 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)))*(((19*Total Surface Area of Pentakis Dodecahedron)/(15*(sqrt(413+(162*sqrt(5))))))^(3/2))

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