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Long Edge of Hexakis Icosahedron given Volume Formula

GoLong Edge of Hexakis Icosahedron given Medium Edge Formula

GoLong Edge of Hexakis Icosahedron given Short Edge Formula

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Long Edge of Hexakis Icosahedron is the length of the longest edge that connects two opposite vertices of the Hexakis Icosahedron. Check FAQs

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

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

Long Edge of Hexakis Icosahedron given Volume Example

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

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

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

9.9861 = ({(\frac{88 \cdot 13300}{25 \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))})})}^{\frac{1}{3}})

9.9861m = ({(\frac{88 \cdot 13300m³}{25 \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))})})}^{\frac{1}{3}})

9.9861 = ({(\frac{88 \cdot 13300}{25 \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))})})}^{\frac{1}{3}})

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Long Edge of Hexakis Icosahedron given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

l e(Long) = 9.98607045253945m

LAST Step Rounding Answer

∴

l e(Long) = 9.9861m

Long Edge of Hexakis Icosahedron given Volume Formula Elements

Variables

Functions

Long Edge of Hexakis Icosahedron

Long Edge of Hexakis Icosahedron is the length of the longest edge that connects two opposite vertices of the Hexakis Icosahedron.

Symbol: l_e(Long)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long 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 Long Edge of Hexakis Icosahedron

Go Long Edge of Hexakis Icosahedron given Medium Edge

l e(Long) = \frac{22 \cdot l e(Medium)}{3 \cdot (4 + \sqrt{5})}

Go Long Edge of Hexakis Icosahedron given Short Edge

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

Go Long Edge of Hexakis Icosahedron given Truncated Icosidodecahedron Edge

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

Go Long Edge of Hexakis Icosahedron given Total Surface Area

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

How to Evaluate Long Edge of Hexakis Icosahedron given Volume?

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

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

FAQs on Long Edge of Hexakis Icosahedron given Volume

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

The formula of Long Edge of Hexakis Icosahedron given Volume is expressed as Long Edge of Hexakis Icosahedron = (((88*Volume of Hexakis Icosahedron)/(25*(sqrt(6*(185+(82*sqrt(5)))))))^(1/3)). Here is an example- 9.98607 = (((88*13300)/(25*(sqrt(6*(185+(82*sqrt(5)))))))^(1/3)).

How to calculate Long Edge of Hexakis Icosahedron given Volume?

With Volume of Hexakis Icosahedron (V) we can find Long Edge of Hexakis Icosahedron given Volume using the formula - Long Edge of Hexakis Icosahedron = (((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 Long Edge of Hexakis Icosahedron?

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

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

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

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

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

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

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