Base Length 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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✖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 Volume [l_Base]

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Base Length of Pentakis Dodecahedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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

l_Base = (((76*V)/(15*(23+(11*sqrt(5)))))^(1/3)) --> (((76*9400)/(15*(23+(11*sqrt(5)))))^(1/3))

Evaluating ... ...

l_Base = 10.0020948663402

STEP 3: Convert Result to Output's Unit

10.0020948663402 Meter --> No Conversion Required

FINAL ANSWER

10.0020948663402 ≈ 10.00209 Meter <-- Base Length of Pentakis Dodecahedron

(Calculation completed in 00.020 seconds)

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< Base Length of Pentakis Dodecahedron Calculators

Base Length of Pentakis Dodecahedron given Total Surface Area

LaTeX 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 Volume

LaTeX 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

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

Base Length of Pentakis Dodecahedron given Leg Length

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

Base Length of Pentakis Dodecahedron given Volume Formula

LaTeX Go

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

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 Volume?

Base Length of Pentakis Dodecahedron given Volume calculator uses Base Length of Pentakis Dodecahedron = (((76*Volume of Pentakis Dodecahedron)/(15*(23+(11*sqrt(5)))))^(1/3)) to calculate the Base Length of Pentakis Dodecahedron, Base Length of Pentakis Dodecahedron given Volume formula is defined as the length of the base of the isosceles triangular face of Pentakis Dodecahedron, calculated using volume of Pentakis Dodecahedron. Base Length of Pentakis Dodecahedron is denoted by l_Base symbol.

How to calculate Base Length of Pentakis Dodecahedron given Volume using this online calculator? To use this online calculator for Base Length of Pentakis Dodecahedron given Volume, enter Volume of Pentakis Dodecahedron (V) and hit the calculate button. Here is how the Base Length of Pentakis Dodecahedron given Volume calculation can be explained with given input values -> 10.00209 = (((76*9400)/(15*(23+(11*sqrt(5)))))^(1/3)).

FAQ

What is Base Length of Pentakis Dodecahedron given Volume?

Base Length of Pentakis Dodecahedron given Volume formula is defined as the length of the base of the isosceles triangular face of Pentakis Dodecahedron, calculated using volume of Pentakis Dodecahedron and is represented as l_Base = (((76*V)/(15*(23+(11*sqrt(5)))))^(1/3)) or Base Length of Pentakis Dodecahedron = (((76*Volume of Pentakis Dodecahedron)/(15*(23+(11*sqrt(5)))))^(1/3)). Volume of Pentakis Dodecahedron is the quantity of three dimensional space enclosed by the entire surface of Pentakis Dodecahedron.

How to calculate Base Length of Pentakis Dodecahedron given Volume?

Base Length of Pentakis Dodecahedron given Volume formula is defined as the length of the base of the isosceles triangular face of Pentakis Dodecahedron, calculated using volume of Pentakis Dodecahedron is calculated using Base Length of Pentakis Dodecahedron = (((76*Volume of Pentakis Dodecahedron)/(15*(23+(11*sqrt(5)))))^(1/3)). To calculate Base Length 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 Base Length of Pentakis Dodecahedron?

In this formula, Base Length of Pentakis Dodecahedron uses Volume of Pentakis Dodecahedron. We can use 3 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 = sqrt((19*Total Surface Area of Pentakis Dodecahedron)/(15*(sqrt(413+(162*sqrt(5))))))
Base Length of Pentakis Dodecahedron = (4*Midsphere Radius of Pentakis Dodecahedron)/(3+sqrt(5))

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