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Short Edge of Deltoidal Hexecontahedron given Midsphere Radius Formula

GoShort Edge of Deltoidal Hexecontahedron Formula

GoShort Edge of Deltoidal Hexecontahedron given Symmetry Diagonal Formula

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Short Edge of Deltoidal Hexecontahedron is the length of shortest edge of the identical deltoidal faces of Deltoidal Hexecontahedron. Check FAQs

l e(Short) = \frac{3}{22} \cdot (7 - \sqrt{5}) \cdot \frac{20 \cdot r m}{3 \cdot (5 + (3 \cdot \sqrt{5}))}

l_e(Short) - Short Edge of Deltoidal Hexecontahedron?r_m - Midsphere Radius of Deltoidal Hexecontahedron?

Short Edge of Deltoidal Hexecontahedron given Midsphere Radius Example

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

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

Here is how the Short Edge of Deltoidal Hexecontahedron given Midsphere Radius equation looks like.

6.6582 = \frac{3}{22} \cdot (7 - \sqrt{5}) \cdot \frac{20 \cdot 18}{3 \cdot (5 + (3 \cdot \sqrt{5}))}

6.6582m = \frac{3}{22} \cdot (7 - \sqrt{5}) \cdot \frac{20 \cdot 18m}{3 \cdot (5 + (3 \cdot \sqrt{5}))}

6.6582 = \frac{3}{22} \cdot (7 - \sqrt{5}) \cdot \frac{20 \cdot 18}{3 \cdot (5 + (3 \cdot \sqrt{5}))}

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Short Edge of Deltoidal Hexecontahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

l e(Short) = \frac{3}{22} \cdot (7 - \sqrt{5}) \cdot \frac{20 \cdot r m}{3 \cdot (5 + (3 \cdot \sqrt{5}))}

Next Step Substitute values of Variables

∴

l e(Short) = \frac{3}{22} \cdot (7 - \sqrt{5}) \cdot \frac{20 \cdot 18m}{3 \cdot (5 + (3 \cdot \sqrt{5}))}

Next Step Prepare to Evaluate

∴

l e(Short) = \frac{3}{22} \cdot (7 - \sqrt{5}) \cdot \frac{20 \cdot 18}{3 \cdot (5 + (3 \cdot \sqrt{5}))}

Next Step Evaluate

∴

l e(Short) = 6.65817333954098m

LAST Step Rounding Answer

∴

l e(Short) = 6.6582m

Short Edge of Deltoidal Hexecontahedron given Midsphere Radius Formula Elements

Variables

Functions

Short Edge of Deltoidal Hexecontahedron

Short Edge of Deltoidal Hexecontahedron is the length of shortest edge of the identical deltoidal faces of Deltoidal Hexecontahedron.

Symbol: l_e(Short)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Edge of Deltoidal Hexecontahedron

Midsphere Radius of Deltoidal Hexecontahedron

Midsphere Radius of Deltoidal Hexecontahedron is the radius of the sphere for which all the edges of the Deltoidal Hexecontahedron 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 Deltoidal Hexecontahedron

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 Deltoidal Hexecontahedron

Go Short Edge of Deltoidal Hexecontahedron

l e(Short) = \frac{3}{22} \cdot (7 - \sqrt{5}) \cdot l e(Long)

Go Short Edge of Deltoidal Hexecontahedron given Symmetry Diagonal

l e(Short) = \frac{3}{22} \cdot (7 - \sqrt{5}) \cdot \frac{d Symmetry}{3 \cdot \sqrt{\frac{5 - \sqrt{5}}{20}}}

Go Short Edge of Deltoidal Hexecontahedron given NonSymmetry Diagonal

l e(Short) = \frac{3}{22} \cdot (7 - \sqrt{5}) \cdot \frac{11 \cdot d Non Symmetry}{\sqrt{\frac{470 + (156 \cdot \sqrt{5})}{5}}}

Go Short Edge of Deltoidal Hexecontahedron given Total Surface Area

l e(Short) = \frac{3}{22} \cdot (7 - \sqrt{5}) \cdot \sqrt{\frac{11 \cdot TSA}{9 \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}}

How to Evaluate Short Edge of Deltoidal Hexecontahedron given Midsphere Radius?

Short Edge of Deltoidal Hexecontahedron given Midsphere Radius evaluator uses Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*(20*Midsphere Radius of Deltoidal Hexecontahedron)/(3*(5+(3*sqrt(5)))) to evaluate the Short Edge of Deltoidal Hexecontahedron, Short Edge of Deltoidal Hexecontahedron given Midsphere Radius formula is defined as the length of the shortest edge of the identical deltoidal faces of Deltoidal Hexecontahedron, calculated using midsphere radius of Deltoidal Hexecontahedron. Short Edge of Deltoidal Hexecontahedron is denoted by l_e(Short) symbol.

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

FAQs on Short Edge of Deltoidal Hexecontahedron given Midsphere Radius

What is the formula to find Short Edge of Deltoidal Hexecontahedron given Midsphere Radius?

The formula of Short Edge of Deltoidal Hexecontahedron given Midsphere Radius is expressed as Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*(20*Midsphere Radius of Deltoidal Hexecontahedron)/(3*(5+(3*sqrt(5)))). Here is an example- 6.658173 = 3/22*(7-sqrt(5))*(20*18)/(3*(5+(3*sqrt(5)))).

How to calculate Short Edge of Deltoidal Hexecontahedron given Midsphere Radius?

With Midsphere Radius of Deltoidal Hexecontahedron (r_m) we can find Short Edge of Deltoidal Hexecontahedron given Midsphere Radius using the formula - Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*(20*Midsphere Radius of Deltoidal Hexecontahedron)/(3*(5+(3*sqrt(5)))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Short Edge of Deltoidal Hexecontahedron?

Here are the different ways to Calculate Short Edge of Deltoidal Hexecontahedron-

Short Edge of Deltoidal Hexecontahedron=3/22*(7-sqrt(5))*Long Edge of Deltoidal Hexecontahedron
Short Edge of Deltoidal Hexecontahedron=3/22*(7-sqrt(5))*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20))
Short Edge of Deltoidal Hexecontahedron=3/22*(7-sqrt(5))*(11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/sqrt((470+(156*sqrt(5)))/5)

Can the Short Edge of Deltoidal Hexecontahedron given Midsphere Radius be negative?

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

Which unit is used to measure Short Edge of Deltoidal Hexecontahedron given Midsphere Radius?

Short Edge of Deltoidal Hexecontahedron 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 Deltoidal Hexecontahedron given Midsphere Radius can be measured.

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