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Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Total Surface Area Formula

GoSnub Dodecahedron Edge of Pentagonal Hexecontahedron given Long Edge Formula

GoSnub Dodecahedron Edge of Pentagonal Hexecontahedron given Volume Formula

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Snub Dodecahedron Edge Pentagonal Hexecontahedron is the length of any edge of the Snub Dodecahedron of which the dual body is the Pentagonal Hexecontahedron. Check FAQs

l e(Snub Dodecahedron) = \sqrt{\frac{TSA \cdot (1 - 2 \cdot {0.4715756}^{2})}{30 \cdot (2 + 3 \cdot 0.4715756) \cdot \sqrt{1 - {0.4715756}^{2}}}} \cdot \sqrt{2 + 2 \cdot (0.4715756)}

l_{e(Snub Dodecahedron)} - Snub Dodecahedron Edge Pentagonal Hexecontahedron?TSA - Total Surface Area of Pentagonal Hexecontahedron?

Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Total Surface Area Example

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Here is how the Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Total Surface Area equation looks like with Values.

Here is how the Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Total Surface Area equation looks like with Units.

Here is how the Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Total Surface Area equation looks like.

6.858 = \sqrt{\frac{2600 \cdot (1 - 2 \cdot {0.4715756}^{2})}{30 \cdot (2 + 3 \cdot 0.4715756) \cdot \sqrt{1 - {0.4715756}^{2}}}} \cdot \sqrt{2 + 2 \cdot (0.4715756)}

6.858m = \sqrt{\frac{2600m² \cdot (1 - 2 \cdot {0.4715756}^{2})}{30 \cdot (2 + 3 \cdot 0.4715756) \cdot \sqrt{1 - {0.4715756}^{2}}}} \cdot \sqrt{2 + 2 \cdot (0.4715756)}

6.858 = \sqrt{\frac{2600 \cdot (1 - 2 \cdot {0.4715756}^{2})}{30 \cdot (2 + 3 \cdot 0.4715756) \cdot \sqrt{1 - {0.4715756}^{2}}}} \cdot \sqrt{2 + 2 \cdot (0.4715756)}

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Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Total Surface Area Solution

Follow our step by step solution on how to calculate Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Total Surface Area?

FIRST Step Consider the formula

l e(Snub Dodecahedron) = \sqrt{\frac{TSA \cdot (1 - 2 \cdot {0.4715756}^{2})}{30 \cdot (2 + 3 \cdot 0.4715756) \cdot \sqrt{1 - {0.4715756}^{2}}}} \cdot \sqrt{2 + 2 \cdot (0.4715756)}

Next Step Substitute values of Variables

∴

l e(Snub Dodecahedron) = \sqrt{\frac{2600m² \cdot (1 - 2 \cdot {0.4715756}^{2})}{30 \cdot (2 + 3 \cdot 0.4715756) \cdot \sqrt{1 - {0.4715756}^{2}}}} \cdot \sqrt{2 + 2 \cdot (0.4715756)}

Next Step Prepare to Evaluate

∴

l e(Snub Dodecahedron) = \sqrt{\frac{2600 \cdot (1 - 2 \cdot {0.4715756}^{2})}{30 \cdot (2 + 3 \cdot 0.4715756) \cdot \sqrt{1 - {0.4715756}^{2}}}} \cdot \sqrt{2 + 2 \cdot (0.4715756)}

Next Step Evaluate

∴

l e(Snub Dodecahedron) = 6.85804910628537m

LAST Step Rounding Answer

∴

l e(Snub Dodecahedron) = 6.858m

Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Total Surface Area Formula Elements

Variables

Functions

Snub Dodecahedron Edge Pentagonal Hexecontahedron

Snub Dodecahedron Edge Pentagonal Hexecontahedron is the length of any edge of the Snub Dodecahedron of which the dual body is the Pentagonal Hexecontahedron.

Symbol: l_{e(Snub Dodecahedron)}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Snub Dodecahedron Edge Pentagonal Hexecontahedron

Total Surface Area of Pentagonal Hexecontahedron

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Pentagonal Hexecontahedron

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 Snub Dodecahedron Edge Pentagonal Hexecontahedron

Go Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Long Edge

l e(Snub Dodecahedron) = \frac{31 \cdot l e(Long)}{((7 \cdot [phi] + 2) + (5 \cdot [phi] - 3) + 2 \cdot (8 - 3 \cdot [phi])) \cdot \sqrt{2 + 2 \cdot (0.4715756)}} \cdot \sqrt{2 + 2 \cdot (0.4715756)}

Go Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Volume

l e(Snub Dodecahedron) = {(\frac{V \cdot (1 - 2 \cdot {0.4715756}^{2}) \cdot \sqrt{1 - 2 \cdot 0.4715756}}{5 \cdot (1 + 0.4715756) \cdot (2 + 3 \cdot 0.4715756)})}^{\frac{1}{3}} \cdot \sqrt{2 + 2 \cdot (0.4715756)}

Go Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Midsphere Radius

l e(Snub Dodecahedron) = \frac{r m}{\sqrt{\frac{1 + 0.4715756}{2 \cdot (1 - 2 \cdot 0.4715756)}}} \cdot \sqrt{2 + 2 \cdot (0.4715756)}

Go Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Insphere Radius

l e(Snub Dodecahedron) = \frac{r i \cdot 2}{\sqrt{\frac{1 + 0.4715756}{(1 - 0.4715756) \cdot (1 - 2 \cdot 0.4715756)}}} \cdot \sqrt{2 + 2 \cdot (0.4715756)}

How to Evaluate Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Total Surface Area?

Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Total Surface Area evaluator uses Snub Dodecahedron Edge Pentagonal Hexecontahedron = sqrt((Total Surface Area of Pentagonal Hexecontahedron*(1-2*0.4715756^2))/(30*(2+3*0.4715756)*sqrt(1-0.4715756^2)))*sqrt(2+2*(0.4715756)) to evaluate the Snub Dodecahedron Edge Pentagonal Hexecontahedron, Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Total Surface Area formula is defined as the length of any edge of the Snub Dodecahedron of which the dual body is the Pentagonal Hexecontahedron, calculated using total surface area of Pentagonal Hexecontahedron. Snub Dodecahedron Edge Pentagonal Hexecontahedron is denoted by l_{e(Snub Dodecahedron)} symbol.

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

FAQs on Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Total Surface Area

What is the formula to find Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Total Surface Area?

The formula of Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Total Surface Area is expressed as Snub Dodecahedron Edge Pentagonal Hexecontahedron = sqrt((Total Surface Area of Pentagonal Hexecontahedron*(1-2*0.4715756^2))/(30*(2+3*0.4715756)*sqrt(1-0.4715756^2)))*sqrt(2+2*(0.4715756)). Here is an example- 6.858049 = sqrt((2600*(1-2*0.4715756^2))/(30*(2+3*0.4715756)*sqrt(1-0.4715756^2)))*sqrt(2+2*(0.4715756)).

How to calculate Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Total Surface Area?

With Total Surface Area of Pentagonal Hexecontahedron (TSA) we can find Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Total Surface Area using the formula - Snub Dodecahedron Edge Pentagonal Hexecontahedron = sqrt((Total Surface Area of Pentagonal Hexecontahedron*(1-2*0.4715756^2))/(30*(2+3*0.4715756)*sqrt(1-0.4715756^2)))*sqrt(2+2*(0.4715756)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Snub Dodecahedron Edge Pentagonal Hexecontahedron?

Here are the different ways to Calculate Snub Dodecahedron Edge Pentagonal Hexecontahedron-

Snub Dodecahedron Edge Pentagonal Hexecontahedron=(31*Long Edge of Pentagonal Hexecontahedron)/(((7*[phi]+2)+(5*[phi]-3)+2*(8-3*[phi]))*sqrt(2+2*(0.4715756)))*sqrt(2+2*(0.4715756))
Snub Dodecahedron Edge Pentagonal Hexecontahedron=((Volume of Pentagonal Hexecontahedron*(1-2*0.4715756^2)*sqrt(1-2*0.4715756))/(5*(1+0.4715756)*(2+3*0.4715756)))^(1/3)*sqrt(2+2*(0.4715756))
Snub Dodecahedron Edge Pentagonal Hexecontahedron=Midsphere Radius of Pentagonal Hexecontahedron/sqrt((1+0.4715756)/(2*(1-2*0.4715756)))*sqrt(2+2*(0.4715756))

Can the Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Total Surface Area be negative?

No, the Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Total Surface Area, measured in Length cannot be negative.

Which unit is used to measure Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Total Surface Area?

Snub Dodecahedron Edge of Pentagonal Hexecontahedron 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 Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Total Surface Area can be measured.

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