Short Edge of Deltoidal Hexecontahedron given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*((11*Volume of Deltoidal Hexecontahedron)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3)
le(Short) = 3/22*(7-sqrt(5))*((11*V)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3)
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.
Volume of Deltoidal Hexecontahedron - (Measured in Cubic Meter) - Volume of Deltoidal Hexecontahedron is the quantity of three dimensional space enclosed by the entire surface of Deltoidal Hexecontahedron.
STEP 1: Convert Input(s) to Base Unit
Volume of Deltoidal Hexecontahedron: 22200 Cubic Meter --> 22200 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le(Short) = 3/22*(7-sqrt(5))*((11*V)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3) --> 3/22*(7-sqrt(5))*((11*22200)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3)
Evaluating ... ...
le(Short) = 6.49553977454327
STEP 3: Convert Result to Output's Unit
6.49553977454327 Meter --> No Conversion Required
FINAL ANSWER
6.49553977454327 6.49554 Meter <-- Short Edge of Deltoidal Hexecontahedron
(Calculation completed in 00.004 seconds)

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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 given Volume Formula

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

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 Volume?

Short Edge of Deltoidal Hexecontahedron given Volume calculator uses Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*((11*Volume of Deltoidal Hexecontahedron)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3) to calculate the Short Edge of Deltoidal Hexecontahedron, Short Edge of Deltoidal Hexecontahedron given Volume formula is defined as the length of the shortest edge of the identical deltoidal faces of Deltoidal Hexecontahedron, calculated using volume of Deltoidal Hexecontahedron. Short Edge of Deltoidal Hexecontahedron is denoted by le(Short) symbol.

How to calculate Short Edge of Deltoidal Hexecontahedron given Volume using this online calculator? To use this online calculator for Short Edge of Deltoidal Hexecontahedron given Volume, enter Volume of Deltoidal Hexecontahedron (V) and hit the calculate button. Here is how the Short Edge of Deltoidal Hexecontahedron given Volume calculation can be explained with given input values -> 6.49554 = 3/22*(7-sqrt(5))*((11*22200)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3).

FAQ

What is Short Edge of Deltoidal Hexecontahedron given Volume?
Short Edge of Deltoidal Hexecontahedron given Volume formula is defined as the length of the shortest edge of the identical deltoidal faces of Deltoidal Hexecontahedron, calculated using volume of Deltoidal Hexecontahedron and is represented as le(Short) = 3/22*(7-sqrt(5))*((11*V)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3) or Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*((11*Volume of Deltoidal Hexecontahedron)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3). Volume of Deltoidal Hexecontahedron is the quantity of three dimensional space enclosed by the entire surface of Deltoidal Hexecontahedron.
How to calculate Short Edge of Deltoidal Hexecontahedron given Volume?
Short Edge of Deltoidal Hexecontahedron given Volume formula is defined as the length of the shortest edge of the identical deltoidal faces of Deltoidal Hexecontahedron, calculated using volume of Deltoidal Hexecontahedron is calculated using Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*((11*Volume of Deltoidal Hexecontahedron)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3). To calculate Short Edge of Deltoidal Hexecontahedron given Volume, you need Volume of Deltoidal Hexecontahedron (V). With our tool, you need to enter the respective value for Volume 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 Volume 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))*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)
  • 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))*(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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