Symmetry Diagonal of Deltoidal Hexecontahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Symmetry Diagonal of Deltoidal Hexecontahedron = sqrt((5-sqrt(5))/20)*sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/sqrt(10*(157+(31*sqrt(5)))))
dSymmetry = sqrt((5-sqrt(5))/20)*sqrt((11*TSA)/sqrt(10*(157+(31*sqrt(5)))))
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
Symmetry Diagonal of Deltoidal Hexecontahedron - (Measured in Meter) - Symmetry Diagonal of Deltoidal Hexecontahedron is the diagonal which cuts the deltoid faces of Deltoidal Hexecontahedron into two equal halves.
Total Surface Area of Deltoidal Hexecontahedron - (Measured in Square Meter) - Total Surface Area of Deltoidal Hexecontahedron is the amount or quantity of two dimensional space covered by the surface of Deltoidal Hexecontahedron.
STEP 1: Convert Input(s) to Base Unit
Total Surface Area of Deltoidal Hexecontahedron: 3900 Square Meter --> 3900 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dSymmetry = sqrt((5-sqrt(5))/20)*sqrt((11*TSA)/sqrt(10*(157+(31*sqrt(5))))) --> sqrt((5-sqrt(5))/20)*sqrt((11*3900)/sqrt(10*(157+(31*sqrt(5)))))
Evaluating ... ...
dSymmetry = 11.1634260914769
STEP 3: Convert Result to Output's Unit
11.1634260914769 Meter --> No Conversion Required
FINAL ANSWER
11.1634260914769 11.16343 Meter <-- Symmetry Diagonal of Deltoidal Hexecontahedron
(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli
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8 Symmetry Diagonal of Deltoidal Hexecontahedron Calculators

Symmetry Diagonal of Deltoidal Hexecontahedron given Surface to Volume Ratio
Go Symmetry Diagonal of Deltoidal Hexecontahedron = 3*sqrt((5-sqrt(5))/20)*(9/45*sqrt(10*(157+(31*sqrt(5)))))/(SA:V of Deltoidal Hexecontahedron*sqrt((370+(164*sqrt(5)))/25))
Symmetry Diagonal of Deltoidal Hexecontahedron given Total Surface Area
Go Symmetry Diagonal of Deltoidal Hexecontahedron = sqrt((5-sqrt(5))/20)*sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/sqrt(10*(157+(31*sqrt(5)))))
Symmetry Diagonal of Deltoidal Hexecontahedron given NonSymmetry Diagonal
Go Symmetry Diagonal of Deltoidal Hexecontahedron = 3*sqrt((5-sqrt(5))/20)*(11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/(sqrt((470+(156*sqrt(5)))/5))
Symmetry Diagonal of Deltoidal Hexecontahedron given Volume
Go Symmetry Diagonal of Deltoidal Hexecontahedron = 3*sqrt((5-sqrt(5))/20)*((11*Volume of Deltoidal Hexecontahedron)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3)
Symmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius
Go Symmetry Diagonal of Deltoidal Hexecontahedron = sqrt((5-sqrt(5))/20)*(2*Insphere Radius of Deltoidal Hexecontahedron)/(sqrt((135+(59*sqrt(5)))/205))
Symmetry Diagonal of Deltoidal Hexecontahedron given Midsphere Radius
Go Symmetry Diagonal of Deltoidal Hexecontahedron = sqrt((5-sqrt(5))/20)*(20*Midsphere Radius of Deltoidal Hexecontahedron)/(5+(3*sqrt(5)))
Symmetry Diagonal of Deltoidal Hexecontahedron given Short Edge
Go Symmetry Diagonal of Deltoidal Hexecontahedron = sqrt((5-sqrt(5))/20)*(22*Short Edge of Deltoidal Hexecontahedron)/(7-sqrt(5))
Symmetry Diagonal of Deltoidal Hexecontahedron
Go Symmetry Diagonal of Deltoidal Hexecontahedron = 3*sqrt((5-sqrt(5))/20)*Long Edge of Deltoidal Hexecontahedron

Symmetry Diagonal of Deltoidal Hexecontahedron given Total Surface Area Formula

Symmetry Diagonal of Deltoidal Hexecontahedron = sqrt((5-sqrt(5))/20)*sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/sqrt(10*(157+(31*sqrt(5)))))
dSymmetry = sqrt((5-sqrt(5))/20)*sqrt((11*TSA)/sqrt(10*(157+(31*sqrt(5)))))

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 Symmetry Diagonal of Deltoidal Hexecontahedron given Total Surface Area?

Symmetry Diagonal of Deltoidal Hexecontahedron given Total Surface Area calculator uses Symmetry Diagonal of Deltoidal Hexecontahedron = sqrt((5-sqrt(5))/20)*sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/sqrt(10*(157+(31*sqrt(5))))) to calculate the Symmetry Diagonal of Deltoidal Hexecontahedron, Symmetry Diagonal of Deltoidal Hexecontahedron given Total Surface Area formula is defined as the diagonal which cuts the deltoid faces of Deltoidal Hexecontahedron into two equal halves, calculated using total surface area of Deltoidal Hexecontahedron. Symmetry Diagonal of Deltoidal Hexecontahedron is denoted by dSymmetry symbol.

How to calculate Symmetry Diagonal of Deltoidal Hexecontahedron given Total Surface Area using this online calculator? To use this online calculator for Symmetry Diagonal of Deltoidal Hexecontahedron given Total Surface Area, enter Total Surface Area of Deltoidal Hexecontahedron (TSA) and hit the calculate button. Here is how the Symmetry Diagonal of Deltoidal Hexecontahedron given Total Surface Area calculation can be explained with given input values -> 11.16343 = sqrt((5-sqrt(5))/20)*sqrt((11*3900)/sqrt(10*(157+(31*sqrt(5))))).

FAQ

What is Symmetry Diagonal of Deltoidal Hexecontahedron given Total Surface Area?
Symmetry Diagonal of Deltoidal Hexecontahedron given Total Surface Area formula is defined as the diagonal which cuts the deltoid faces of Deltoidal Hexecontahedron into two equal halves, calculated using total surface area of Deltoidal Hexecontahedron and is represented as dSymmetry = sqrt((5-sqrt(5))/20)*sqrt((11*TSA)/sqrt(10*(157+(31*sqrt(5))))) or Symmetry Diagonal of Deltoidal Hexecontahedron = sqrt((5-sqrt(5))/20)*sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/sqrt(10*(157+(31*sqrt(5))))). Total Surface Area of Deltoidal Hexecontahedron is the amount or quantity of two dimensional space covered by the surface of Deltoidal Hexecontahedron.
How to calculate Symmetry Diagonal of Deltoidal Hexecontahedron given Total Surface Area?
Symmetry Diagonal of Deltoidal Hexecontahedron given Total Surface Area formula is defined as the diagonal which cuts the deltoid faces of Deltoidal Hexecontahedron into two equal halves, calculated using total surface area of Deltoidal Hexecontahedron is calculated using Symmetry Diagonal of Deltoidal Hexecontahedron = sqrt((5-sqrt(5))/20)*sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/sqrt(10*(157+(31*sqrt(5))))). To calculate Symmetry Diagonal of Deltoidal Hexecontahedron given Total Surface Area, you need Total Surface Area of Deltoidal Hexecontahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area 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 Symmetry Diagonal of Deltoidal Hexecontahedron?
In this formula, Symmetry Diagonal of Deltoidal Hexecontahedron uses Total Surface Area of Deltoidal Hexecontahedron. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • Symmetry Diagonal of Deltoidal Hexecontahedron = 3*sqrt((5-sqrt(5))/20)*Long Edge of Deltoidal Hexecontahedron
  • Symmetry Diagonal of Deltoidal Hexecontahedron = sqrt((5-sqrt(5))/20)*(22*Short Edge of Deltoidal Hexecontahedron)/(7-sqrt(5))
  • Symmetry Diagonal of Deltoidal Hexecontahedron = 3*sqrt((5-sqrt(5))/20)*(11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/(sqrt((470+(156*sqrt(5)))/5))
  • Symmetry Diagonal of Deltoidal Hexecontahedron = 3*sqrt((5-sqrt(5))/20)*((11*Volume of Deltoidal Hexecontahedron)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3)
  • Symmetry Diagonal of Deltoidal Hexecontahedron = sqrt((5-sqrt(5))/20)*(20*Midsphere Radius of Deltoidal Hexecontahedron)/(5+(3*sqrt(5)))
  • Symmetry Diagonal of Deltoidal Hexecontahedron = sqrt((5-sqrt(5))/20)*(2*Insphere Radius of Deltoidal Hexecontahedron)/(sqrt((135+(59*sqrt(5)))/205))
  • Symmetry Diagonal of Deltoidal Hexecontahedron = 3*sqrt((5-sqrt(5))/20)*(9/45*sqrt(10*(157+(31*sqrt(5)))))/(SA:V of Deltoidal Hexecontahedron*sqrt((370+(164*sqrt(5)))/25))
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