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Base Length of Pentakis Dodecahedron given Insphere Radius 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{2 \cdot r i}{3 \cdot (\sqrt{\frac{81 + (35 \cdot \sqrt{5})}{218}})}

l_Base - Base Length of Pentakis Dodecahedron?r_i - Insphere Radius of Pentakis Dodecahedron?

Base Length of Pentakis Dodecahedron given Insphere Radius Example

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

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

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

9.3597 = \frac{2 \cdot 12}{3 \cdot (\sqrt{\frac{81 + (35 \cdot \sqrt{5})}{218}})}

9.3597m = \frac{2 \cdot 12m}{3 \cdot (\sqrt{\frac{81 + (35 \cdot \sqrt{5})}{218}})}

9.3597 = \frac{2 \cdot 12}{3 \cdot (\sqrt{\frac{81 + (35 \cdot \sqrt{5})}{218}})}

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Base Length of Pentakis Dodecahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l Base = \frac{2 \cdot 12m}{3 \cdot (\sqrt{\frac{81 + (35 \cdot \sqrt{5})}{218}})}

Next Step Prepare to Evaluate

∴

l Base = \frac{2 \cdot 12}{3 \cdot (\sqrt{\frac{81 + (35 \cdot \sqrt{5})}{218}})}

Next Step Evaluate

∴

l Base = 9.35969364884533m

LAST Step Rounding Answer

∴

l Base = 9.3597m

Base Length of Pentakis Dodecahedron given Insphere Radius 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

Insphere Radius of Pentakis Dodecahedron

Insphere Radius of Pentakis Dodecahedron is the radius of the sphere that is contained by the Pentakis Dodecahedron in such a way that all the faces just touch the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius 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 Volume

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

Go Base Length of Pentakis Dodecahedron given Midsphere Radius

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

How to Evaluate Base Length of Pentakis Dodecahedron given Insphere Radius?

Base Length of Pentakis Dodecahedron given Insphere Radius evaluator uses Base Length of Pentakis Dodecahedron = (2*Insphere Radius of Pentakis Dodecahedron)/(3*(sqrt((81+(35*sqrt(5)))/218))) to evaluate the Base Length of Pentakis Dodecahedron, Base Length of Pentakis Dodecahedron given Insphere Radius formula is the length of the base of the isosceles triangular face of Pentakis Dodecahedron, calculated using insphere radius of Pentakis Dodecahedron. Base Length of Pentakis Dodecahedron is denoted by l_Base symbol.

How to evaluate Base Length of Pentakis Dodecahedron given Insphere Radius using this online evaluator? To use this online evaluator for Base Length of Pentakis Dodecahedron given Insphere Radius, enter Insphere Radius of Pentakis Dodecahedron (r_i) and hit the calculate button.

FAQs on Base Length of Pentakis Dodecahedron given Insphere Radius

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

The formula of Base Length of Pentakis Dodecahedron given Insphere Radius is expressed as Base Length of Pentakis Dodecahedron = (2*Insphere Radius of Pentakis Dodecahedron)/(3*(sqrt((81+(35*sqrt(5)))/218))). Here is an example- 9.359694 = (2*12)/(3*(sqrt((81+(35*sqrt(5)))/218))).

How to calculate Base Length of Pentakis Dodecahedron given Insphere Radius?

With Insphere Radius of Pentakis Dodecahedron (r_i) we can find Base Length of Pentakis Dodecahedron given Insphere Radius using the formula - Base Length of Pentakis Dodecahedron = (2*Insphere Radius of Pentakis Dodecahedron)/(3*(sqrt((81+(35*sqrt(5)))/218))). This formula also uses Square Root (sqrt) 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=(((76*Volume of Pentakis Dodecahedron)/(15*(23+(11*sqrt(5)))))^(1/3))

Can the Base Length of Pentakis Dodecahedron given Insphere Radius be negative?

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

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

Base Length of Pentakis Dodecahedron given Insphere Radius 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 Insphere Radius can be measured.

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