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Long Edge of Hexakis Icosahedron given Surface to Volume Ratio 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{(\frac{6}{5}) \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))})}{R A/V \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))})}

l_e(Long) - Long Edge of Hexakis Icosahedron?R_A/V - Surface to Volume Ratio of Hexakis Icosahedron?

Long Edge of Hexakis Icosahedron given Surface to Volume Ratio Example

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

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

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

10.339 = \frac{(\frac{6}{5}) \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))})}{0.2 \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))})}

10.339m = \frac{(\frac{6}{5}) \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))})}{0.2m⁻¹ \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))})}

10.339 = \frac{(\frac{6}{5}) \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))})}{0.2 \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))})}

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Long Edge of Hexakis Icosahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

l e(Long) = \frac{(\frac{6}{5}) \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))})}{R A/V \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))})}

Next Step Substitute values of Variables

∴

l e(Long) = \frac{(\frac{6}{5}) \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))})}{0.2m⁻¹ \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))})}

Next Step Prepare to Evaluate

∴

l e(Long) = \frac{(\frac{6}{5}) \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))})}{0.2 \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))})}

Next Step Evaluate

∴

l e(Long) = 10.3390003448254m

LAST Step Rounding Answer

∴

l e(Long) = 10.339m

Long Edge of Hexakis Icosahedron given Surface to Volume Ratio 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

Surface to Volume Ratio of Hexakis Icosahedron

Surface to Volume Ratio of Hexakis Icosahedron is what part of or fraction of total volume of Hexakis Icosahedron is the total surface area.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio 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 Surface to Volume Ratio?

Long Edge of Hexakis Icosahedron given Surface to Volume Ratio evaluator uses Long Edge of Hexakis Icosahedron = ((6/5)*(sqrt(10*(417+(107*sqrt(5))))))/(Surface to Volume Ratio of Hexakis Icosahedron*(sqrt(6*(185+(82*sqrt(5)))))) to evaluate the Long Edge of Hexakis Icosahedron, Long Edge of Hexakis Icosahedron given Surface to Volume Ratio formula is defined as the length of the longest edge that connects two opposite vertices of the Hexakis Icosahedron, calculated using surface to volume ratio of Hexakis Icosahedron. Long Edge of Hexakis Icosahedron is denoted by l_e(Long) symbol.

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

FAQs on Long Edge of Hexakis Icosahedron given Surface to Volume Ratio

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

The formula of Long Edge of Hexakis Icosahedron given Surface to Volume Ratio is expressed as Long Edge of Hexakis Icosahedron = ((6/5)*(sqrt(10*(417+(107*sqrt(5))))))/(Surface to Volume Ratio of Hexakis Icosahedron*(sqrt(6*(185+(82*sqrt(5)))))). Here is an example- 10.339 = ((6/5)*(sqrt(10*(417+(107*sqrt(5))))))/(0.2*(sqrt(6*(185+(82*sqrt(5)))))).

How to calculate Long Edge of Hexakis Icosahedron given Surface to Volume Ratio?

With Surface to Volume Ratio of Hexakis Icosahedron (R_A/V) we can find Long Edge of Hexakis Icosahedron given Surface to Volume Ratio using the formula - Long Edge of Hexakis Icosahedron = ((6/5)*(sqrt(10*(417+(107*sqrt(5))))))/(Surface to Volume Ratio of Hexakis Icosahedron*(sqrt(6*(185+(82*sqrt(5)))))). 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 Surface to Volume Ratio be negative?

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

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

Long Edge of Hexakis Icosahedron given Surface to Volume Ratio 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 Surface to Volume Ratio can be measured.

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