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Leg Length of Pentakis Dodecahedron given Total Surface Area Formula

GoLeg Length of Pentakis Dodecahedron Formula

GoLeg Length of Pentakis Dodecahedron given Volume Formula

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

l Leg = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot (\sqrt{\frac{19 \cdot TSA}{15 \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}})

l_Leg - Leg Length of Pentakis Dodecahedron?TSA - Total Surface Area of Pentakis Dodecahedron?

Leg Length of Pentakis Dodecahedron given Total Surface Area Example

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

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

Here is how the Leg Length of Pentakis Dodecahedron given Total Surface Area equation looks like.

8.8743 = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot (\sqrt{\frac{19 \cdot 2200}{15 \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}})

8.8743m = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot (\sqrt{\frac{19 \cdot 2200m²}{15 \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}})

8.8743 = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot (\sqrt{\frac{19 \cdot 2200}{15 \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}})

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Leg Length of Pentakis Dodecahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

l Leg = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot (\sqrt{\frac{19 \cdot TSA}{15 \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}})

Next Step Substitute values of Variables

∴

l Leg = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot (\sqrt{\frac{19 \cdot 2200m²}{15 \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}})

Next Step Prepare to Evaluate

∴

l Leg = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot (\sqrt{\frac{19 \cdot 2200}{15 \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}})

Next Step Evaluate

∴

l Leg = 8.8743195385661m

LAST Step Rounding Answer

∴

l Leg = 8.8743m

Leg Length of Pentakis Dodecahedron given Total Surface Area Formula Elements

Variables

Functions

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

Total Surface Area of Pentakis Dodecahedron

Total Surface Area of Pentakis Dodecahedron is the amount or quantity of two dimensional space covered on the surface of Pentakis Dodecahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 Leg Length of Pentakis Dodecahedron

Go Leg Length of Pentakis Dodecahedron

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

Go Leg Length of Pentakis Dodecahedron given Volume

l Leg = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot ({(\frac{76 \cdot V}{15 \cdot (23 + (11 \cdot \sqrt{5}))})}^{\frac{1}{3}})

Go Leg Length of Pentakis Dodecahedron given Midsphere Radius

l Leg = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot (\frac{4 \cdot r m}{3 + \sqrt{5}})

Go Leg Length of Pentakis Dodecahedron given Insphere Radius

l Leg = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot (\frac{2 \cdot r i}{3 \cdot (\sqrt{\frac{81 + (35 \cdot \sqrt{5})}{218}})})

How to Evaluate Leg Length of Pentakis Dodecahedron given Total Surface Area?

Leg Length of Pentakis Dodecahedron given Total Surface Area evaluator uses Leg Length of Pentakis Dodecahedron = (3/38)*(9+sqrt(5))*(sqrt((19*Total Surface Area of Pentakis Dodecahedron)/(15*(sqrt(413+(162*sqrt(5))))))) to evaluate the Leg Length of Pentakis Dodecahedron, Leg Length of Pentakis Dodecahedron given Total Surface Area formula is defined as the length of the equal sides of the isosceles triangular face of Pentakis Dodecahedron, calculated using total surface area of Pentakis Dodecahedron. Leg Length of Pentakis Dodecahedron is denoted by l_Leg symbol.

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

FAQs on Leg Length of Pentakis Dodecahedron given Total Surface Area

What is the formula to find Leg Length of Pentakis Dodecahedron given Total Surface Area?

The formula of Leg Length of Pentakis Dodecahedron given Total Surface Area is expressed as Leg Length of Pentakis Dodecahedron = (3/38)*(9+sqrt(5))*(sqrt((19*Total Surface Area of Pentakis Dodecahedron)/(15*(sqrt(413+(162*sqrt(5))))))). Here is an example- 8.87432 = (3/38)*(9+sqrt(5))*(sqrt((19*2200)/(15*(sqrt(413+(162*sqrt(5))))))).

How to calculate Leg Length of Pentakis Dodecahedron given Total Surface Area?

With Total Surface Area of Pentakis Dodecahedron (TSA) we can find Leg Length of Pentakis Dodecahedron given Total Surface Area using the formula - Leg Length of Pentakis Dodecahedron = (3/38)*(9+sqrt(5))*(sqrt((19*Total Surface Area of Pentakis Dodecahedron)/(15*(sqrt(413+(162*sqrt(5))))))). This formula also uses Square Root (sqrt) function(s).

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

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

Leg Length of Pentakis Dodecahedron=(3/38)*(9+sqrt(5))*Base Length of Pentakis Dodecahedron
Leg Length of Pentakis Dodecahedron=(3/38)*(9+sqrt(5))*(((76*Volume of Pentakis Dodecahedron)/(15*(23+(11*sqrt(5)))))^(1/3))
Leg Length of Pentakis Dodecahedron=(3/38)*(9+sqrt(5))*((4*Midsphere Radius of Pentakis Dodecahedron)/(3+sqrt(5)))

Can the Leg Length of Pentakis Dodecahedron given Total Surface Area be negative?

No, the Leg Length of Pentakis Dodecahedron given Total Surface Area, measured in Length cannot be negative.

Which unit is used to measure Leg Length of Pentakis Dodecahedron given Total Surface Area?

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

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