Short Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio Calculator

✖SA:V of Deltoidal Hexecontahedron is what part of or fraction of total volume of Deltoidal Hexecontahedron is the total surface area.ⓘ SA:V of Deltoidal Hexecontahedron [AV]

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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 given Surface to Volume Ratio [l_e(Short)]

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Short Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
l_e(Short) = 3/22*(7-sqrt(5))*(9/45*sqrt(10*(157+(31*sqrt(5)))))/(AV*sqrt((370+(164*sqrt(5)))/25))
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.
SA:V of Deltoidal Hexecontahedron - (Measured in 1 per Meter) - SA:V of Deltoidal Hexecontahedron is what part of or fraction of total volume of Deltoidal Hexecontahedron is the total surface area.

STEP 1: Convert Input(s) to Base Unit

SA:V of Deltoidal Hexecontahedron: 0.2 1 per Meter --> 0.2 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Short) = 3/22*(7-sqrt(5))*(9/45*sqrt(10*(157+(31*sqrt(5)))))/(AV*sqrt((370+(164*sqrt(5)))/25)) --> 3/22*(7-sqrt(5))*(9/45*sqrt(10*(157+(31*sqrt(5)))))/(0.2*sqrt((370+(164*sqrt(5)))/25))

Evaluating ... ...

l_e(Short) = 5.69303672424259

STEP 3: Convert Result to Output's Unit

5.69303672424259 Meter --> No Conversion Required

FINAL ANSWER

5.69303672424259 ≈ 5.693037 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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< Short Edge of Deltoidal Hexecontahedron Calculators

Short Edge of Deltoidal Hexecontahedron given Total Surface Area

LaTeX 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

LaTeX 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 Symmetry Diagonal

LaTeX 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

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

Short Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio Formula

LaTeX Go

What is Deltoidal Hexecontahedron?

A Deltoidal Hexecontahedron is a polyhedron with deltoid (kite) faces, those have two angles with 86.97°, one angle with 118.3° and one with 67.8°. It has twenty vertices with three edges, thirty vertices with four edges and twelve vertices with five edges. In total, it has 60 faces, 120 edges, 62 vertices.

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

Short Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio calculator 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 calculate 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 calculate Short Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Short Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio, enter SA:V of Deltoidal Hexecontahedron (AV) and hit the calculate button. Here is how the Short Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio calculation can be explained with given input values -> 5.693037 = 3/22*(7-sqrt(5))*(9/45*sqrt(10*(157+(31*sqrt(5)))))/(0.2*sqrt((370+(164*sqrt(5)))/25)).

FAQ

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

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 and is represented as l_e(Short) = 3/22*(7-sqrt(5))*(9/45*sqrt(10*(157+(31*sqrt(5)))))/(AV*sqrt((370+(164*sqrt(5)))/25)) or 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)). SA:V of Deltoidal Hexecontahedron is what part of or fraction of total volume of Deltoidal Hexecontahedron is the total surface area.

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

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 is calculated using 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 calculate Short Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio, you need SA:V of Deltoidal Hexecontahedron (AV). With our tool, you need to enter the respective value for SA:V 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 SA:V of Deltoidal Hexecontahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)

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