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Short Edge of Pentagonal Hexecontahedron given Snub Dodecahedron Edge Formula

GoShort Edge of Pentagonal Hexecontahedron given Long Edge Formula

GoShort Edge of Pentagonal Hexecontahedron given Total Surface Area Formula

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Short Edge of Pentagonal Hexecontahedron is the length of the shortest edge which is the base and middle edge of the axial-symmetric pentagonal faces of the Pentagonal Hexecontahedron. Check FAQs

l e(Short) = \frac{l e(Snub Dodecahedron)}{\sqrt{2 + 2 \cdot (0.4715756)}}

l_e(Short) - Short Edge of Pentagonal Hexecontahedron?l_{e(Snub Dodecahedron)} - Snub Dodecahedron Edge Pentagonal Hexecontahedron?

Short Edge of Pentagonal Hexecontahedron given Snub Dodecahedron Edge Example

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

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

Here is how the Short Edge of Pentagonal Hexecontahedron given Snub Dodecahedron Edge equation looks like.

4.0803 = \frac{7}{\sqrt{2 + 2 \cdot (0.4715756)}}

4.0803m = \frac{7m}{\sqrt{2 + 2 \cdot (0.4715756)}}

4.0803 = \frac{7}{\sqrt{2 + 2 \cdot (0.4715756)}}

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Short Edge of Pentagonal Hexecontahedron given Snub Dodecahedron Edge Solution

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

FIRST Step Consider the formula

l e(Short) = \frac{l e(Snub Dodecahedron)}{\sqrt{2 + 2 \cdot (0.4715756)}}

Next Step Substitute values of Variables

∴

l e(Short) = \frac{7m}{\sqrt{2 + 2 \cdot (0.4715756)}}

Next Step Prepare to Evaluate

∴

l e(Short) = \frac{7}{\sqrt{2 + 2 \cdot (0.4715756)}}

Next Step Evaluate

∴

l e(Short) = 4.08029678428185m

LAST Step Rounding Answer

∴

l e(Short) = 4.0803m

Short Edge of Pentagonal Hexecontahedron given Snub Dodecahedron Edge Formula Elements

Variables

Functions

Short Edge of Pentagonal Hexecontahedron

Short Edge of Pentagonal Hexecontahedron is the length of the shortest edge which is the base and middle edge of the axial-symmetric pentagonal faces of the Pentagonal Hexecontahedron.

Symbol: l_e(Short)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Edge of Pentagonal Hexecontahedron

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

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 Short Edge of Pentagonal Hexecontahedron

Go Short Edge of Pentagonal Hexecontahedron given Long Edge

l e(Short) = \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)}}

Go Short Edge of Pentagonal Hexecontahedron given Total Surface Area

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

Go Short Edge of Pentagonal Hexecontahedron given Volume

l e(Short) = {(\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}}

Go Short Edge of Pentagonal Hexecontahedron given Midsphere Radius

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

How to Evaluate Short Edge of Pentagonal Hexecontahedron given Snub Dodecahedron Edge?

Short Edge of Pentagonal Hexecontahedron given Snub Dodecahedron Edge evaluator uses Short Edge of Pentagonal Hexecontahedron = Snub Dodecahedron Edge Pentagonal Hexecontahedron/sqrt(2+2*(0.4715756)) to evaluate the Short Edge of Pentagonal Hexecontahedron, Short Edge of Pentagonal Hexecontahedron given Snub Dodecahedron Edge formula is defined as the length of shortest edge which is the base and middle edge of the axial-symmetric pentagonal faces of the Pentagonal Hexecontahedron, calculated using snub dodecahedron edge of Pentagonal Hexecontahedron. Short Edge of Pentagonal Hexecontahedron is denoted by l_e(Short) symbol.

How to evaluate Short Edge of Pentagonal Hexecontahedron given Snub Dodecahedron Edge using this online evaluator? To use this online evaluator for Short Edge of Pentagonal Hexecontahedron given Snub Dodecahedron Edge, enter Snub Dodecahedron Edge Pentagonal Hexecontahedron (l_{e(Snub Dodecahedron)}) and hit the calculate button.

FAQs on Short Edge of Pentagonal Hexecontahedron given Snub Dodecahedron Edge

What is the formula to find Short Edge of Pentagonal Hexecontahedron given Snub Dodecahedron Edge?

The formula of Short Edge of Pentagonal Hexecontahedron given Snub Dodecahedron Edge is expressed as Short Edge of Pentagonal Hexecontahedron = Snub Dodecahedron Edge Pentagonal Hexecontahedron/sqrt(2+2*(0.4715756)). Here is an example- 4.080297 = 7/sqrt(2+2*(0.4715756)).

How to calculate Short Edge of Pentagonal Hexecontahedron given Snub Dodecahedron Edge?

With Snub Dodecahedron Edge Pentagonal Hexecontahedron (l_{e(Snub Dodecahedron)}) we can find Short Edge of Pentagonal Hexecontahedron given Snub Dodecahedron Edge using the formula - Short Edge of Pentagonal Hexecontahedron = Snub Dodecahedron Edge Pentagonal Hexecontahedron/sqrt(2+2*(0.4715756)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Short Edge of Pentagonal Hexecontahedron?

Here are the different ways to Calculate Short Edge of Pentagonal Hexecontahedron-

Short Edge of Pentagonal Hexecontahedron=(31*Long Edge of Pentagonal Hexecontahedron)/(((7*[phi]+2)+(5*[phi]-3)+2*(8-3*[phi]))*sqrt(2+2*(0.4715756)))
Short Edge of Pentagonal Hexecontahedron=sqrt((Total Surface Area of Pentagonal Hexecontahedron*(1-2*0.4715756^2))/(30*(2+3*0.4715756)*sqrt(1-0.4715756^2)))
Short Edge of 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)

Can the Short Edge of Pentagonal Hexecontahedron given Snub Dodecahedron Edge be negative?

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

Which unit is used to measure Short Edge of Pentagonal Hexecontahedron given Snub Dodecahedron Edge?

Short Edge of Pentagonal Hexecontahedron given Snub Dodecahedron Edge is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Short Edge of Pentagonal Hexecontahedron given Snub Dodecahedron Edge can be measured.

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