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Short Edge of Hexakis Icosahedron given Surface to Volume Ratio 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{(\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(Short) - Short Edge of Hexakis Icosahedron?R_A/V - Surface to Volume Ratio of Hexakis Icosahedron?

Short Edge of Hexakis Icosahedron given Surface to Volume Ratio Example

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

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

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

5.5971 = (\frac{5}{44}) \cdot (7 - \sqrt{5}) \cdot (\frac{(\frac{6}{5}) \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))})}{0.2 \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))})})

5.5971m = (\frac{5}{44}) \cdot (7 - \sqrt{5}) \cdot (\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}))})})

5.5971 = (\frac{5}{44}) \cdot (7 - \sqrt{5}) \cdot (\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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Short Edge of Hexakis Icosahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

l e(Short) = (\frac{5}{44}) \cdot (7 - \sqrt{5}) \cdot (\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(Short) = (\frac{5}{44}) \cdot (7 - \sqrt{5}) \cdot (\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(Short) = (\frac{5}{44}) \cdot (7 - \sqrt{5}) \cdot (\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(Short) = 5.59707895719938m

LAST Step Rounding Answer

∴

l e(Short) = 5.5971m

Short Edge of Hexakis Icosahedron given Surface to Volume Ratio 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

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 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 Surface to Volume Ratio?

Short Edge of Hexakis Icosahedron given Surface to Volume Ratio evaluator uses Short Edge of Hexakis Icosahedron = (5/44)*(7-sqrt(5))*(((6/5)*(sqrt(10*(417+(107*sqrt(5))))))/(Surface to Volume Ratio of Hexakis Icosahedron*(sqrt(6*(185+(82*sqrt(5))))))) to evaluate the Short Edge of Hexakis Icosahedron, Short Edge of Hexakis Icosahedron given Surface to Volume Ratio formula is defined as the length of the shortest edge that connects two adjacent vertices of the Hexakis Icosahedron, calculated using surface to volume ratio of Hexakis Icosahedron. Short Edge of Hexakis Icosahedron is denoted by l_e(Short) symbol.

How to evaluate Short Edge of Hexakis Icosahedron given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Short 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 Short Edge of Hexakis Icosahedron given Surface to Volume Ratio

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

The formula of Short Edge of Hexakis Icosahedron given Surface to Volume Ratio is expressed as Short Edge of Hexakis Icosahedron = (5/44)*(7-sqrt(5))*(((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- 5.597079 = (5/44)*(7-sqrt(5))*(((6/5)*(sqrt(10*(417+(107*sqrt(5))))))/(0.2*(sqrt(6*(185+(82*sqrt(5))))))).

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

With Surface to Volume Ratio of Hexakis Icosahedron (R_A/V) we can find Short Edge of Hexakis Icosahedron given Surface to Volume Ratio using the formula - Short Edge of Hexakis Icosahedron = (5/44)*(7-sqrt(5))*(((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 Function 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 Surface to Volume Ratio be negative?

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

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

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

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