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Base Length of Pentakis Dodecahedron given Volume Formula

GoBase Length of Pentakis Dodecahedron given Leg Length Formula

GoBase Length of Pentakis Dodecahedron given Total Surface Area Formula

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Base Length of Pentakis Dodecahedron is the length of the base of the isosceles triangular face of Pentakis Dodecahedron. Check FAQs

l Base = ({(\frac{76 \cdot V}{15 \cdot (23 + (11 \cdot \sqrt{5}))})}^{\frac{1}{3}})

l_Base - Base Length of Pentakis Dodecahedron?V - Volume of Pentakis Dodecahedron?

Base Length of Pentakis Dodecahedron given Volume Example

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Here is how the Base Length of Pentakis Dodecahedron given Volume equation looks like with Values.

Here is how the Base Length of Pentakis Dodecahedron given Volume equation looks like with Units.

Here is how the Base Length of Pentakis Dodecahedron given Volume equation looks like.

10.0021 = ({(\frac{76 \cdot 9400}{15 \cdot (23 + (11 \cdot \sqrt{5}))})}^{\frac{1}{3}})

10.0021m = ({(\frac{76 \cdot 9400m³}{15 \cdot (23 + (11 \cdot \sqrt{5}))})}^{\frac{1}{3}})

10.0021 = ({(\frac{76 \cdot 9400}{15 \cdot (23 + (11 \cdot \sqrt{5}))})}^{\frac{1}{3}})

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Base Length of Pentakis Dodecahedron given Volume Solution

Follow our step by step solution on how to calculate Base Length of Pentakis Dodecahedron given Volume?

FIRST Step Consider the formula

l Base = ({(\frac{76 \cdot V}{15 \cdot (23 + (11 \cdot \sqrt{5}))})}^{\frac{1}{3}})

Next Step Substitute values of Variables

∴

l Base = ({(\frac{76 \cdot 9400m³}{15 \cdot (23 + (11 \cdot \sqrt{5}))})}^{\frac{1}{3}})

Next Step Prepare to Evaluate

∴

l Base = ({(\frac{76 \cdot 9400}{15 \cdot (23 + (11 \cdot \sqrt{5}))})}^{\frac{1}{3}})

Next Step Evaluate

∴

l Base = 10.0020948663402m

LAST Step Rounding Answer

∴

l Base = 10.0021m

Base Length of Pentakis Dodecahedron given Volume Formula Elements

Variables

Functions

Base Length of Pentakis Dodecahedron

Base Length of Pentakis Dodecahedron is the length of the base of the isosceles triangular face of Pentakis Dodecahedron.

Symbol: l_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Length of Pentakis Dodecahedron

Volume of Pentakis Dodecahedron

Volume of Pentakis Dodecahedron is the quantity of three dimensional space enclosed by the entire surface of Pentakis Dodecahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Pentakis Dodecahedron

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.

Syntax: sqrt(Number)

Other Formulas to find Base Length of Pentakis Dodecahedron

Go Base Length of Pentakis Dodecahedron given Leg Length

l Base = \frac{38 \cdot l Leg}{3 \cdot (9 + \sqrt{5})}

Go Base Length of Pentakis Dodecahedron given Total Surface Area

l Base = \sqrt{\frac{19 \cdot TSA}{15 \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}}

Go Base Length of Pentakis Dodecahedron given Midsphere Radius

l Base = \frac{4 \cdot r m}{3 + \sqrt{5}}

Go Base Length of Pentakis Dodecahedron given Insphere Radius

l Base = \frac{2 \cdot r i}{3 \cdot (\sqrt{\frac{81 + (35 \cdot \sqrt{5})}{218}})}

How to Evaluate Base Length of Pentakis Dodecahedron given Volume?

Base Length of Pentakis Dodecahedron given Volume evaluator uses Base Length of Pentakis Dodecahedron = (((76*Volume of Pentakis Dodecahedron)/(15*(23+(11*sqrt(5)))))^(1/3)) to evaluate 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 evaluate Base Length of Pentakis Dodecahedron given Volume using this online evaluator? To use this online evaluator for Base Length of Pentakis Dodecahedron given Volume, enter Volume of Pentakis Dodecahedron (V) and hit the calculate button.

FAQs on Base Length of Pentakis Dodecahedron given Volume

What is the formula to find Base Length of Pentakis Dodecahedron given Volume?

The formula of Base Length of Pentakis Dodecahedron given Volume is expressed as Base Length of Pentakis Dodecahedron = (((76*Volume of Pentakis Dodecahedron)/(15*(23+(11*sqrt(5)))))^(1/3)). Here is an example- 10.00209 = (((76*9400)/(15*(23+(11*sqrt(5)))))^(1/3)).

How to calculate Base Length of Pentakis Dodecahedron given Volume?

With Volume of Pentakis Dodecahedron (V) we can find Base Length of Pentakis Dodecahedron given Volume using the formula - Base Length of Pentakis Dodecahedron = (((76*Volume of Pentakis Dodecahedron)/(15*(23+(11*sqrt(5)))))^(1/3)). This formula also uses Square Root Function function(s).

What are the other ways to Calculate Base Length of Pentakis Dodecahedron?

Here are the different ways to Calculate Base Length of Pentakis Dodecahedron-

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))

Can the Base Length of Pentakis Dodecahedron given Volume be negative?

No, the Base Length of Pentakis Dodecahedron given Volume, measured in Length cannot be negative.

Which unit is used to measure Base Length of Pentakis Dodecahedron given Volume?

Base Length of Pentakis Dodecahedron given Volume is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Base Length of Pentakis Dodecahedron given Volume can be measured.

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