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Short Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio Formula

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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{\frac{9}{45} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}{AV \cdot \sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}}}

l_e(Short) - Short Edge of Deltoidal Hexecontahedron?AV - SA:V of Deltoidal Hexecontahedron?

Short Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio Example

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

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

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

5.693 = \frac{3}{22} \cdot (7 - \sqrt{5}) \cdot \frac{\frac{9}{45} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}{0.2 \cdot \sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}}}

5.693m = \frac{3}{22} \cdot (7 - \sqrt{5}) \cdot \frac{\frac{9}{45} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}{0.2m⁻¹ \cdot \sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}}}

5.693 = \frac{3}{22} \cdot (7 - \sqrt{5}) \cdot \frac{\frac{9}{45} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}{0.2 \cdot \sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}}}

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Short Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

l e(Short) = \frac{3}{22} \cdot (7 - \sqrt{5}) \cdot \frac{\frac{9}{45} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}{AV \cdot \sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}}}

Next Step Substitute values of Variables

∴

l e(Short) = \frac{3}{22} \cdot (7 - \sqrt{5}) \cdot \frac{\frac{9}{45} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}{0.2m⁻¹ \cdot \sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}}}

Next Step Prepare to Evaluate

∴

l e(Short) = \frac{3}{22} \cdot (7 - \sqrt{5}) \cdot \frac{\frac{9}{45} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}{0.2 \cdot \sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}}}

Next Step Evaluate

∴

l e(Short) = 5.69303672424259m

LAST Step Rounding Answer

∴

l e(Short) = 5.693m

Short Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio 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

SA:V of Deltoidal Hexecontahedron

SA:V of Deltoidal Hexecontahedron is what part of or fraction of total volume of Deltoidal Hexecontahedron is the total surface area.

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V 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 Surface to Volume Ratio?

Short Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio evaluator uses Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*(9/45*sqrt(10*(157+(31*sqrt(5)))))/(SA:V of Deltoidal Hexecontahedron*sqrt((370+(164*sqrt(5)))/25)) to evaluate the Short Edge of Deltoidal Hexecontahedron, Short Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio formula is defined as the length of the shortest edge of the identical deltoidal faces of Deltoidal Hexecontahedron, calculated using surface to volume ratio of Deltoidal Hexecontahedron. Short Edge of Deltoidal Hexecontahedron is denoted by l_e(Short) symbol.

How to evaluate Short Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Short Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio, enter SA:V of Deltoidal Hexecontahedron (AV) and hit the calculate button.

FAQs on Short Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio

What is the formula to find Short Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio?

The formula of Short Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio is expressed as Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*(9/45*sqrt(10*(157+(31*sqrt(5)))))/(SA:V of Deltoidal Hexecontahedron*sqrt((370+(164*sqrt(5)))/25)). Here is an example- 5.693037 = 3/22*(7-sqrt(5))*(9/45*sqrt(10*(157+(31*sqrt(5)))))/(0.2*sqrt((370+(164*sqrt(5)))/25)).

How to calculate Short Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio?

With SA:V of Deltoidal Hexecontahedron (AV) we can find Short Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio using the formula - Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*(9/45*sqrt(10*(157+(31*sqrt(5)))))/(SA:V of Deltoidal Hexecontahedron*sqrt((370+(164*sqrt(5)))/25)). 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 Surface to Volume Ratio be negative?

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

Which unit is used to measure Short Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio?

Short Edge of Deltoidal Hexecontahedron 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 Deltoidal Hexecontahedron given Surface to Volume Ratio can be measured.

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