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Short Edge of Hexakis Icosahedron given Volume Formula

GoShort Edge of Hexakis Icosahedron Formula

GoShort Edge of Hexakis Icosahedron given Medium Edge Formula

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Short Edge of Hexakis Icosahedron is the length of the shortest edge that connects two adjacent vertices of the Hexakis Icosahedron. Check FAQs

l e(Short) = (\frac{5}{44}) \cdot (7 - \sqrt{5}) \cdot ({(\frac{88 \cdot V}{25 \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))})})}^{\frac{1}{3}})

l_e(Short) - Short Edge of Hexakis Icosahedron?V - Volume of Hexakis Icosahedron?

Short Edge of Hexakis Icosahedron given Volume Example

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Here is how the Short Edge of Hexakis Icosahedron given Volume equation looks like with Values.

Here is how the Short Edge of Hexakis Icosahedron given Volume equation looks like with Units.

Here is how the Short Edge of Hexakis Icosahedron given Volume equation looks like.

5.406 = (\frac{5}{44}) \cdot (7 - \sqrt{5}) \cdot ({(\frac{88 \cdot 13300}{25 \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))})})}^{\frac{1}{3}})

5.406m = (\frac{5}{44}) \cdot (7 - \sqrt{5}) \cdot ({(\frac{88 \cdot 13300m³}{25 \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))})})}^{\frac{1}{3}})

5.406 = (\frac{5}{44}) \cdot (7 - \sqrt{5}) \cdot ({(\frac{88 \cdot 13300}{25 \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))})})}^{\frac{1}{3}})

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Short Edge of Hexakis Icosahedron given Volume Solution

Follow our step by step solution on how to calculate Short Edge of Hexakis Icosahedron given Volume?

FIRST Step Consider the formula

l e(Short) = (\frac{5}{44}) \cdot (7 - \sqrt{5}) \cdot ({(\frac{88 \cdot V}{25 \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))})})}^{\frac{1}{3}})

Next Step Substitute values of Variables

∴

l e(Short) = (\frac{5}{44}) \cdot (7 - \sqrt{5}) \cdot ({(\frac{88 \cdot 13300m³}{25 \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))})})}^{\frac{1}{3}})

Next Step Prepare to Evaluate

∴

l e(Short) = (\frac{5}{44}) \cdot (7 - \sqrt{5}) \cdot ({(\frac{88 \cdot 13300}{25 \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))})})}^{\frac{1}{3}})

Next Step Evaluate

∴

l e(Short) = 5.40601827361317m

LAST Step Rounding Answer

∴

l e(Short) = 5.406m

Short Edge of Hexakis Icosahedron given Volume Formula Elements

Variables

Functions

Short Edge of Hexakis Icosahedron

Short Edge of Hexakis Icosahedron is the length of the shortest edge that connects two adjacent vertices of the Hexakis Icosahedron.

Symbol: l_e(Short)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Edge of Hexakis Icosahedron

Volume of Hexakis Icosahedron

Volume of Hexakis Icosahedron is the quantity of three dimensional space enclosed by the entire surface of Hexakis Icosahedron .

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Hexakis Icosahedron

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 Hexakis Icosahedron

Go Short Edge of Hexakis Icosahedron

l e(Short) = (\frac{5}{44}) \cdot (7 - \sqrt{5}) \cdot l e(Long)

Go Short Edge of Hexakis Icosahedron given Medium Edge

l e(Short) = (\frac{5}{44}) \cdot (7 - \sqrt{5}) \cdot (\frac{22 \cdot l e(Medium)}{3 \cdot (4 + \sqrt{5})})

Go Short Edge of Hexakis Icosahedron given Truncated Icosidodecahedron Edge

l e(Short) = (\frac{5}{44}) \cdot (7 - \sqrt{5}) \cdot (\frac{2}{5}) \cdot (\sqrt{15 \cdot (5 - \sqrt{5})}) \cdot l e(Truncated Icosidodecahedron)

Go Short Edge of Hexakis Icosahedron given Total Surface Area

l e(Short) = (\frac{5}{44}) \cdot (7 - \sqrt{5}) \cdot (\sqrt{\frac{44 \cdot TSA}{15 \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))})}})

How to Evaluate Short Edge of Hexakis Icosahedron given Volume?

Short Edge of Hexakis Icosahedron given Volume evaluator uses Short Edge of Hexakis Icosahedron = (5/44)*(7-sqrt(5))*(((88*Volume of Hexakis Icosahedron)/(25*(sqrt(6*(185+(82*sqrt(5)))))))^(1/3)) to evaluate the Short Edge of Hexakis Icosahedron, Short Edge of Hexakis Icosahedron given Volume formula is defined as the length of the shortest edge that connects two adjacent vertices of the Hexakis Icosahedron, calculated using volume of Hexakis Icosahedron. Short Edge of Hexakis Icosahedron is denoted by l_e(Short) symbol.

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

FAQs on Short Edge of Hexakis Icosahedron given Volume

What is the formula to find Short Edge of Hexakis Icosahedron given Volume?

The formula of Short Edge of Hexakis Icosahedron given Volume is expressed as Short Edge of Hexakis Icosahedron = (5/44)*(7-sqrt(5))*(((88*Volume of Hexakis Icosahedron)/(25*(sqrt(6*(185+(82*sqrt(5)))))))^(1/3)). Here is an example- 5.406018 = (5/44)*(7-sqrt(5))*(((88*13300)/(25*(sqrt(6*(185+(82*sqrt(5)))))))^(1/3)).

How to calculate Short Edge of Hexakis Icosahedron given Volume?

With Volume of Hexakis Icosahedron (V) we can find Short Edge of Hexakis Icosahedron given Volume using the formula - Short Edge of Hexakis Icosahedron = (5/44)*(7-sqrt(5))*(((88*Volume of Hexakis Icosahedron)/(25*(sqrt(6*(185+(82*sqrt(5)))))))^(1/3)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Short Edge of Hexakis Icosahedron?

Here are the different ways to Calculate Short Edge of Hexakis Icosahedron-

Short Edge of Hexakis Icosahedron=(5/44)*(7-sqrt(5))*Long Edge of Hexakis Icosahedron
Short Edge of Hexakis Icosahedron=(5/44)*(7-sqrt(5))*((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5))))
Short Edge of Hexakis Icosahedron=(5/44)*(7-sqrt(5))*(2/5)*(sqrt(15*(5-sqrt(5))))*Truncated Edge of Hexakis Icosahedron

Can the Short Edge of Hexakis Icosahedron given Volume be negative?

No, the Short Edge of Hexakis Icosahedron given Volume, measured in Length cannot be negative.

Which unit is used to measure Short Edge of Hexakis Icosahedron given Volume?

Short Edge of Hexakis Icosahedron 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 Hexakis Icosahedron given Volume can be measured.

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