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Short Edge of Pentagonal Hexecontahedron given Long Edge Formula

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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{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)}}

l_e(Short) - Short Edge of Pentagonal Hexecontahedron?l_e(Long) - Long Edge of Pentagonal Hexecontahedron?[phi] - Golden ratio?[phi] - Golden ratio?[phi] - Golden ratio?

Short Edge of Pentagonal Hexecontahedron given Long Edge Example

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

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

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

4.388 = \frac{31 \cdot 6}{((7 \cdot 1.618 + 2) + (5 \cdot 1.618 - 3) + 2 \cdot (8 - 3 \cdot 1.618)) \cdot \sqrt{2 + 2 \cdot (0.4715756)}}

4.388m = \frac{31 \cdot 6m}{((7 \cdot 1.618 + 2) + (5 \cdot 1.618 - 3) + 2 \cdot (8 - 3 \cdot 1.618)) \cdot \sqrt{2 + 2 \cdot (0.4715756)}}

4.388 = \frac{31 \cdot 6}{((7 \cdot 1.618 + 2) + (5 \cdot 1.618 - 3) + 2 \cdot (8 - 3 \cdot 1.618)) \cdot \sqrt{2 + 2 \cdot (0.4715756)}}

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Short Edge of Pentagonal Hexecontahedron given Long Edge Solution

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

FIRST Step Consider the formula

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)}}

Next Step Substitute values of Variables

∴

l e(Short) = \frac{31 \cdot 6m}{((7 \cdot [phi] + 2) + (5 \cdot [phi] - 3) + 2 \cdot (8 - 3 \cdot [phi])) \cdot \sqrt{2 + 2 \cdot (0.4715756)}}

Next Step Substitute values of Constants

∴

l e(Short) = \frac{31 \cdot 6m}{((7 \cdot 1.618 + 2) + (5 \cdot 1.618 - 3) + 2 \cdot (8 - 3 \cdot 1.618)) \cdot \sqrt{2 + 2 \cdot (0.4715756)}}

Next Step Prepare to Evaluate

∴

l e(Short) = \frac{31 \cdot 6}{((7 \cdot 1.618 + 2) + (5 \cdot 1.618 - 3) + 2 \cdot (8 - 3 \cdot 1.618)) \cdot \sqrt{2 + 2 \cdot (0.4715756)}}

Next Step Evaluate

∴

l e(Short) = 4.38798849361802m

LAST Step Rounding Answer

∴

l e(Short) = 4.388m

Short Edge of Pentagonal Hexecontahedron given Long Edge Formula Elements

Variables

Constants

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

Long Edge of Pentagonal Hexecontahedron

Long Edge of Pentagonal Hexecontahedron is the length of longest edge which is the top edge of the axial-symmetric pentagonal faces of Pentagonal Hexecontahedron.

Symbol: l_e(Long)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Edge of Pentagonal Hexecontahedron

Golden ratio

The Golden ratio occurs when the ratio of two numbers is the same as the ratio of their sum to the larger of the two numbers.

Symbol: [phi]

Value: 1.61803398874989484820458683436563811

Golden ratio

The Golden ratio occurs when the ratio of two numbers is the same as the ratio of their sum to the larger of the two numbers.

Symbol: [phi]

Value: 1.61803398874989484820458683436563811

Golden ratio

The Golden ratio occurs when the ratio of two numbers is the same as the ratio of their sum to the larger of the two numbers.

Symbol: [phi]

Value: 1.61803398874989484820458683436563811

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 Snub Dodecahedron Edge

l e(Short) = \frac{l e(Snub Dodecahedron)}{\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 Long Edge?

Short Edge of Pentagonal Hexecontahedron given Long Edge evaluator uses 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))) to evaluate the Short Edge of Pentagonal Hexecontahedron, Short Edge of Pentagonal Hexecontahedron given Long Edge formula is defined as the length of the shortest edge which is the base and middle edge of the axial-symmetric pentagonal faces of the Pentagonal Hexecontahedron, calculated using long 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 Long Edge using this online evaluator? To use this online evaluator for Short Edge of Pentagonal Hexecontahedron given Long Edge, enter Long Edge of Pentagonal Hexecontahedron (l_e(Long)) and hit the calculate button.

FAQs on Short Edge of Pentagonal Hexecontahedron given Long Edge

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

The formula of Short Edge of Pentagonal Hexecontahedron given Long Edge is expressed as 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))). Here is an example- 4.387988 = (31*6)/(((7*[phi]+2)+(5*[phi]-3)+2*(8-3*[phi]))*sqrt(2+2*(0.4715756))).

How to calculate Short Edge of Pentagonal Hexecontahedron given Long Edge?

With Long Edge of Pentagonal Hexecontahedron (l_e(Long)) we can find Short Edge of Pentagonal Hexecontahedron given Long Edge using the formula - 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))). This formula also uses Golden ratio, Golden ratio, Golden ratio constant(s) and 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=Snub Dodecahedron Edge Pentagonal Hexecontahedron/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 Long Edge be negative?

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

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

Short Edge of Pentagonal Hexecontahedron given Long 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 Long Edge can be measured.

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Short Edge of Pentagonal Hexecontahedron given Long Edge Formula

​GoShort Edge of Pentagonal Hexecontahedron given Snub Dodecahedron Edge Formula

​GoShort Edge of Pentagonal Hexecontahedron given Total Surface Area Formula

Short Edge of Pentagonal Hexecontahedron given Long Edge Example

Short Edge of Pentagonal Hexecontahedron given Long Edge Solution

Short Edge of Pentagonal Hexecontahedron given Long Edge Formula Elements

Other Formulas to find Short Edge of Pentagonal Hexecontahedron

How to Evaluate Short Edge of Pentagonal Hexecontahedron given Long Edge?

FAQs on Short Edge of Pentagonal Hexecontahedron given Long Edge

Variable Name

GoShort Edge of Pentagonal Hexecontahedron given Snub Dodecahedron Edge Formula

GoShort Edge of Pentagonal Hexecontahedron given Total Surface Area Formula