Total Surface Area of Deltoidal Hexecontahedron given Short Edge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Surface Area of Deltoidal Hexecontahedron = 9/11*sqrt(10*(157+(31*sqrt(5))))*((22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5))))^2
TSA = 9/11*sqrt(10*(157+(31*sqrt(5))))*((22*le(Short))/(3*(7-sqrt(5))))^2
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
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.
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.
STEP 1: Convert Input(s) to Base Unit
Short Edge of Deltoidal Hexecontahedron: 6 Meter --> 6 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
TSA = 9/11*sqrt(10*(157+(31*sqrt(5))))*((22*le(Short))/(3*(7-sqrt(5))))^2 --> 9/11*sqrt(10*(157+(31*sqrt(5))))*((22*6)/(3*(7-sqrt(5))))^2
Evaluating ... ...
TSA = 3320.34886463057
STEP 3: Convert Result to Output's Unit
3320.34886463057 Square Meter --> No Conversion Required
FINAL ANSWER
3320.34886463057 3320.349 Square Meter <-- Total Surface Area of Deltoidal Hexecontahedron
(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli
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8 Surface Area of Deltoidal Hexecontahedron Calculators

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

Total Surface Area of Deltoidal Hexecontahedron given Short Edge Formula

Total Surface Area of Deltoidal Hexecontahedron = 9/11*sqrt(10*(157+(31*sqrt(5))))*((22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5))))^2
TSA = 9/11*sqrt(10*(157+(31*sqrt(5))))*((22*le(Short))/(3*(7-sqrt(5))))^2

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 Total Surface Area of Deltoidal Hexecontahedron given Short Edge?

Total Surface Area of Deltoidal Hexecontahedron given Short Edge calculator uses Total Surface Area of Deltoidal Hexecontahedron = 9/11*sqrt(10*(157+(31*sqrt(5))))*((22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5))))^2 to calculate the Total Surface Area of Deltoidal Hexecontahedron, Total Surface Area of Deltoidal Hexecontahedron given Short Edge formula is defined as the amount or quantity of two dimensional space covered on the surface of Deltoidal Hexecontahedron, calculated using short edge of Deltoidal Hexecontahedron. Total Surface Area of Deltoidal Hexecontahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Deltoidal Hexecontahedron given Short Edge using this online calculator? To use this online calculator for Total Surface Area of Deltoidal Hexecontahedron given Short Edge, enter Short Edge of Deltoidal Hexecontahedron (le(Short)) and hit the calculate button. Here is how the Total Surface Area of Deltoidal Hexecontahedron given Short Edge calculation can be explained with given input values -> 3320.349 = 9/11*sqrt(10*(157+(31*sqrt(5))))*((22*6)/(3*(7-sqrt(5))))^2.

FAQ

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