Short Edge of Deltoidal Hexecontahedron Calculator

✖Long Edge of Deltoidal Hexecontahedron is the length of longest edge of the identical deltoidal faces of Deltoidal Hexecontahedron.ⓘ Long Edge of Deltoidal Hexecontahedron [l_e(Long)]

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✖Short Edge of Deltoidal Hexecontahedron is the length of shortest edge of the identical deltoidal faces of Deltoidal Hexecontahedron.ⓘ Short Edge of Deltoidal Hexecontahedron [l_e(Short)]

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Formula

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Short Edge of Deltoidal Hexecontahedron

Formula

`"l"_{"e(Short)"} = 3/22*(7-sqrt(5))*"l"_{"e(Long)"}`

Example

`"6.496271m"=3/22*(7-sqrt(5))*"10m"`

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Short Edge of Deltoidal Hexecontahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*Long Edge of Deltoidal Hexecontahedron
l_e(Short) = 3/22*(7-sqrt(5))*l_e(Long)
This formula uses 1 Functions, 2 Variables

Functions Used

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., sqrt(Number)

Variables Used

Short Edge of Deltoidal Hexecontahedron - (Measured in Meter) - Short Edge of Deltoidal Hexecontahedron is the length of shortest edge of the identical deltoidal faces of Deltoidal Hexecontahedron.
Long Edge of Deltoidal Hexecontahedron - (Measured in Meter) - Long Edge of Deltoidal Hexecontahedron is the length of longest edge of the identical deltoidal faces of Deltoidal Hexecontahedron.

STEP 1: Convert Input(s) to Base Unit

Long Edge of Deltoidal Hexecontahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Short) = 3/22*(7-sqrt(5))*l_e(Long) --> 3/22*(7-sqrt(5))*10

Evaluating ... ...

l_e(Short) = 6.49627093977301

STEP 3: Convert Result to Output's Unit

6.49627093977301 Meter --> No Conversion Required

FINAL ANSWER

6.49627093977301 ≈ 6.496271 Meter <-- Short Edge of Deltoidal Hexecontahedron

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< 8 Short Edge of Deltoidal Hexecontahedron Calculators

Short Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio

Go 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))

Short Edge of Deltoidal Hexecontahedron given Total Surface Area

Go Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/(9*sqrt(10*(157+(31*sqrt(5))))))

Short Edge of Deltoidal Hexecontahedron given NonSymmetry Diagonal

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

Short Edge of Deltoidal Hexecontahedron given Volume

Go Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*((11*Volume of Deltoidal Hexecontahedron)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3)

Short Edge of Deltoidal Hexecontahedron given Insphere Radius

Go Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*(2*Insphere Radius of Deltoidal Hexecontahedron)/(3*sqrt((135+(59*sqrt(5)))/205))

Short Edge of Deltoidal Hexecontahedron given Symmetry Diagonal

Go 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 given Midsphere Radius

Go Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*(20*Midsphere Radius of Deltoidal Hexecontahedron)/(3*(5+(3*sqrt(5))))

Short Edge of Deltoidal Hexecontahedron

Go Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*Long Edge of Deltoidal Hexecontahedron

Short Edge of Deltoidal Hexecontahedron Formula

Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*Long Edge of Deltoidal Hexecontahedron
l_e(Short) = 3/22*(7-sqrt(5))*l_e(Long)

What is a Deltoidal Hexecontahedron?

A Deltoidal Hexecontahedron is a polyhedron with identical deltoid (kite) faces, those have two angles with 86.97°, one angle with 118.3° and one with 67.8°. It has 20 vertices with 3 edges, 30 vertices with 4 edges and 12 vertices with 5 edges. It has a total of 60 identical deltoidal faces, 120 edges and 62 vertices.

How to Calculate Short Edge of Deltoidal Hexecontahedron?

Short Edge of Deltoidal Hexecontahedron calculator uses Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*Long Edge of Deltoidal Hexecontahedron to calculate the Short Edge of Deltoidal Hexecontahedron, Short Edge of Deltoidal Hexecontahedron formula is defined as the length of the shortest edge of the identical deltoidal faces of Deltoidal Hexecontahedron. Short Edge of Deltoidal Hexecontahedron is denoted by l_e(Short) symbol.

How to calculate Short Edge of Deltoidal Hexecontahedron using this online calculator? To use this online calculator for Short Edge of Deltoidal Hexecontahedron, enter Long Edge of Deltoidal Hexecontahedron (l_e(Long)) and hit the calculate button. Here is how the Short Edge of Deltoidal Hexecontahedron calculation can be explained with given input values -> 6.496271 = 3/22*(7-sqrt(5))*10.

FAQ

What is Short Edge of Deltoidal Hexecontahedron?

Short Edge of Deltoidal Hexecontahedron formula is defined as the length of the shortest edge of the identical deltoidal faces of Deltoidal Hexecontahedron and is represented as l_e(Short) = 3/22*(7-sqrt(5))*l_e(Long) or Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*Long Edge of Deltoidal Hexecontahedron. Long Edge of Deltoidal Hexecontahedron is the length of longest edge of the identical deltoidal faces of Deltoidal Hexecontahedron.

How to calculate Short Edge of Deltoidal Hexecontahedron?

Short Edge of Deltoidal Hexecontahedron formula is defined as the length of the shortest edge of the identical deltoidal faces of Deltoidal Hexecontahedron is calculated using Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*Long Edge of Deltoidal Hexecontahedron. To calculate Short Edge of Deltoidal Hexecontahedron, you need Long Edge of Deltoidal Hexecontahedron (l_e(Long)). With our tool, you need to enter the respective value for Long Edge of Deltoidal Hexecontahedron and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Short Edge of Deltoidal Hexecontahedron?

In this formula, Short Edge of Deltoidal Hexecontahedron uses Long Edge of Deltoidal Hexecontahedron. We can use 7 other way(s) to calculate the same, which is/are as follows -

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)
Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/(9*sqrt(10*(157+(31*sqrt(5))))))
Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*((11*Volume of Deltoidal Hexecontahedron)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3)
Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*(20*Midsphere Radius of Deltoidal Hexecontahedron)/(3*(5+(3*sqrt(5))))
Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*(2*Insphere Radius of Deltoidal Hexecontahedron)/(3*sqrt((135+(59*sqrt(5)))/205))
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))

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