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Short Edge of Hexakis Icosahedron given Midsphere Radius 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{8 \cdot r m}{5 + (3 \cdot \sqrt{5})})

l_e(Short) - Short Edge of Hexakis Icosahedron?r_m - Midsphere Radius of Hexakis Icosahedron?

Short Edge of Hexakis Icosahedron given Midsphere Radius Example

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

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

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

5.5485 = (\frac{5}{44}) \cdot (7 - \sqrt{5}) \cdot (\frac{8 \cdot 15}{5 + (3 \cdot \sqrt{5})})

5.5485m = (\frac{5}{44}) \cdot (7 - \sqrt{5}) \cdot (\frac{8 \cdot 15m}{5 + (3 \cdot \sqrt{5})})

5.5485 = (\frac{5}{44}) \cdot (7 - \sqrt{5}) \cdot (\frac{8 \cdot 15}{5 + (3 \cdot \sqrt{5})})

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Short Edge of Hexakis Icosahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

l e(Short) = (\frac{5}{44}) \cdot (7 - \sqrt{5}) \cdot (\frac{8 \cdot r m}{5 + (3 \cdot \sqrt{5})})

Next Step Substitute values of Variables

∴

l e(Short) = (\frac{5}{44}) \cdot (7 - \sqrt{5}) \cdot (\frac{8 \cdot 15m}{5 + (3 \cdot \sqrt{5})})

Next Step Prepare to Evaluate

∴

l e(Short) = (\frac{5}{44}) \cdot (7 - \sqrt{5}) \cdot (\frac{8 \cdot 15}{5 + (3 \cdot \sqrt{5})})

Next Step Evaluate

∴

l e(Short) = 5.54847778295082m

LAST Step Rounding Answer

∴

l e(Short) = 5.5485m

Short Edge of Hexakis Icosahedron given Midsphere Radius 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

Midsphere Radius of Hexakis Icosahedron

Midsphere Radius of Hexakis Icosahedron is defined as the radius of the sphere for which all the edges of the Hexakis Icosahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius 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 Midsphere Radius?

Short Edge of Hexakis Icosahedron given Midsphere Radius evaluator uses Short Edge of Hexakis Icosahedron = (5/44)*(7-sqrt(5))*((8*Midsphere Radius of Hexakis Icosahedron)/(5+(3*sqrt(5)))) to evaluate the Short Edge of Hexakis Icosahedron, Short Edge of Hexakis Icosahedron given Midsphere Radius formula is defined as the length of the shortest edge that connects two adjacent vertices of the Hexakis Icosahedron, calculated using midsphere radius of Hexakis Icosahedron. Short Edge of Hexakis Icosahedron is denoted by l_e(Short) symbol.

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

FAQs on Short Edge of Hexakis Icosahedron given Midsphere Radius

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

The formula of Short Edge of Hexakis Icosahedron given Midsphere Radius is expressed as Short Edge of Hexakis Icosahedron = (5/44)*(7-sqrt(5))*((8*Midsphere Radius of Hexakis Icosahedron)/(5+(3*sqrt(5)))). Here is an example- 5.548478 = (5/44)*(7-sqrt(5))*((8*15)/(5+(3*sqrt(5)))).

How to calculate Short Edge of Hexakis Icosahedron given Midsphere Radius?

With Midsphere Radius of Hexakis Icosahedron (r_m) we can find Short Edge of Hexakis Icosahedron given Midsphere Radius using the formula - Short Edge of Hexakis Icosahedron = (5/44)*(7-sqrt(5))*((8*Midsphere Radius of Hexakis Icosahedron)/(5+(3*sqrt(5)))). 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 Midsphere Radius be negative?

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

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

Short Edge of Hexakis Icosahedron given Midsphere Radius 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 Midsphere Radius can be measured.

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