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Base Length of Pentakis Dodecahedron given Leg Length Formula

GoBase Length of Pentakis Dodecahedron given Total Surface Area Formula

GoBase Length of Pentakis Dodecahedron given Volume 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{38 \cdot l Leg}{3 \cdot (9 + \sqrt{5})}

l_Base - Base Length of Pentakis Dodecahedron?l_Leg - Leg Length of Pentakis Dodecahedron?

Base Length of Pentakis Dodecahedron given Leg Length Example

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

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

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

10.1459 = \frac{38 \cdot 9}{3 \cdot (9 + \sqrt{5})}

10.1459m = \frac{38 \cdot 9m}{3 \cdot (9 + \sqrt{5})}

10.1459 = \frac{38 \cdot 9}{3 \cdot (9 + \sqrt{5})}

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Base Length of Pentakis Dodecahedron given Leg Length Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

l Base = 10.1458980337503m

LAST Step Rounding Answer

∴

l Base = 10.1459m

Base Length of Pentakis Dodecahedron given Leg Length 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

Leg Length of Pentakis Dodecahedron

Leg Length of Pentakis Dodecahedron is the length of the equal sides of the isosceles triangular face of Pentakis Dodecahedron.

Symbol: l_Leg

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Leg Length 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 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}}

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 Leg Length?

Base Length of Pentakis Dodecahedron given Leg Length evaluator uses Base Length of Pentakis Dodecahedron = (38*Leg Length of Pentakis Dodecahedron)/(3*(9+sqrt(5))) to evaluate the Base Length of Pentakis Dodecahedron, Base Length of Pentakis Dodecahedron given Leg Length is the length of the base of the isosceles triangular face of Pentakis Dodecahedron, calculated using leg length of Pentakis Dodecahedron. Base Length of Pentakis Dodecahedron is denoted by l_Base symbol.

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

FAQs on Base Length of Pentakis Dodecahedron given Leg Length

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

The formula of Base Length of Pentakis Dodecahedron given Leg Length is expressed as Base Length of Pentakis Dodecahedron = (38*Leg Length of Pentakis Dodecahedron)/(3*(9+sqrt(5))). Here is an example- 10.1459 = (38*9)/(3*(9+sqrt(5))).

How to calculate Base Length of Pentakis Dodecahedron given Leg Length?

With Leg Length of Pentakis Dodecahedron (l_Leg) we can find Base Length of Pentakis Dodecahedron given Leg Length using the formula - Base Length of Pentakis Dodecahedron = (38*Leg Length of Pentakis Dodecahedron)/(3*(9+sqrt(5))). 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=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))
Base Length of Pentakis Dodecahedron=(4*Midsphere Radius of Pentakis Dodecahedron)/(3+sqrt(5))

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

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

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

Base Length of Pentakis Dodecahedron given Leg Length 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 Leg Length can be measured.

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