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Short Edge of Pentagonal Hexecontahedron given Volume Formula

GoShort Edge of Pentagonal Hexecontahedron given Long Edge Formula

GoShort Edge of Pentagonal Hexecontahedron given Snub Dodecahedron Edge 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{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}}

l_e(Short) - Short Edge of Pentagonal Hexecontahedron?V - Volume of Pentagonal Hexecontahedron?

Short Edge of Pentagonal Hexecontahedron given Volume Example

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

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

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

3.9838 = {(\frac{12000 \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}}

3.9838m = {(\frac{12000m³ \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}}

3.9838 = {(\frac{12000 \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}}

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Short Edge of Pentagonal Hexecontahedron given Volume Solution

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

FIRST Step Consider the formula

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}}

Next Step Substitute values of Variables

∴

l e(Short) = {(\frac{12000m³ \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}}

Next Step Prepare to Evaluate

∴

l e(Short) = {(\frac{12000 \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}}

Next Step Evaluate

∴

l e(Short) = 3.98384882224067m

LAST Step Rounding Answer

∴

l e(Short) = 3.9838m

Short Edge of Pentagonal Hexecontahedron given Volume 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

Volume of Pentagonal Hexecontahedron

Volume of Pentagonal Hexecontahedron is the quantity of three dimensional space enclosed by the entire surface of Pentagonal Hexecontahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 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 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 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 Volume?

Short Edge of Pentagonal Hexecontahedron given Volume evaluator uses 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) to evaluate the Short Edge of Pentagonal Hexecontahedron, Short Edge of Pentagonal Hexecontahedron given Volume 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 volume of Pentagonal Hexecontahedron. Short Edge of Pentagonal Hexecontahedron is denoted by l_e(Short) symbol.

How to evaluate Short Edge of Pentagonal Hexecontahedron given Volume using this online evaluator? To use this online evaluator for Short Edge of Pentagonal Hexecontahedron given Volume, enter Volume of Pentagonal Hexecontahedron (V) and hit the calculate button.

FAQs on Short Edge of Pentagonal Hexecontahedron given Volume

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

The formula of Short Edge of Pentagonal Hexecontahedron given Volume is expressed as 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). Here is an example- 3.983849 = ((12000*(1-2*0.4715756^2)*sqrt(1-2*0.4715756))/(5*(1+0.4715756)*(2+3*0.4715756)))^(1/3).

How to calculate Short Edge of Pentagonal Hexecontahedron given Volume?

With Volume of Pentagonal Hexecontahedron (V) we can find Short Edge of Pentagonal Hexecontahedron given Volume using the formula - 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). 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=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)))

Can the Short Edge of Pentagonal Hexecontahedron given Volume be negative?

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

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

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

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