Total Surface Area of Deltoidal Hexecontahedron given Symmetry Diagonal Calculator

✖Symmetry Diagonal of Deltoidal Hexecontahedron is the diagonal which cuts the deltoid faces of Deltoidal Hexecontahedron into two equal halves.ⓘ Symmetry Diagonal of Deltoidal Hexecontahedron [d_Symmetry]

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✖Total Surface Area of Deltoidal Hexecontahedron is the amount or quantity of two dimensional space covered by the surface of Deltoidal Hexecontahedron.ⓘ Total Surface Area of Deltoidal Hexecontahedron given Symmetry Diagonal [TSA]

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Total Surface Area of Deltoidal Hexecontahedron given Symmetry Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
TSA = 9/11*sqrt(10*(157+(31*sqrt(5))))*(d_Symmetry/(3*sqrt((5-sqrt(5))/20)))^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.
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.

STEP 1: Convert Input(s) to Base Unit

Symmetry Diagonal of Deltoidal Hexecontahedron: 11 Meter --> 11 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = 9/11*sqrt(10*(157+(31*sqrt(5))))*(d_Symmetry/(3*sqrt((5-sqrt(5))/20)))^2 --> 9/11*sqrt(10*(157+(31*sqrt(5))))*(11/(3*sqrt((5-sqrt(5))/20)))^2

Evaluating ... ...

TSA = 3786.64833750599

STEP 3: Convert Result to Output's Unit

3786.64833750599 Square Meter --> No Conversion Required

FINAL ANSWER

3786.64833750599 ≈ 3786.648 Square Meter <-- Total Surface Area of Deltoidal Hexecontahedron

(Calculation completed in 00.020 seconds)

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< Surface Area of Deltoidal Hexecontahedron Calculators

Total Surface Area of Deltoidal Hexecontahedron given Symmetry Diagonal

LaTeX 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

LaTeX 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 Short Edge

LaTeX 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

LaTeX 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 Symmetry Diagonal 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 Total Surface Area of Deltoidal Hexecontahedron given Symmetry Diagonal?

Total Surface Area of Deltoidal Hexecontahedron given Symmetry Diagonal calculator uses 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 to calculate the Total Surface Area of Deltoidal Hexecontahedron, Total Surface Area of Deltoidal Hexecontahedron given Symmetry Diagonal formula is defined as the amount or quantity of two dimensional space covered on the surface of Deltoidal Hexecontahedron, calculated using symmetry diagonal of Deltoidal Hexecontahedron. Total Surface Area of Deltoidal Hexecontahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Deltoidal Hexecontahedron given Symmetry Diagonal using this online calculator? To use this online calculator for Total Surface Area of Deltoidal Hexecontahedron given Symmetry Diagonal, enter Symmetry Diagonal of Deltoidal Hexecontahedron (d_Symmetry) and hit the calculate button. Here is how the Total Surface Area of Deltoidal Hexecontahedron given Symmetry Diagonal calculation can be explained with given input values -> 3786.648 = 9/11*sqrt(10*(157+(31*sqrt(5))))*(11/(3*sqrt((5-sqrt(5))/20)))^2.

FAQ

What is Total Surface Area of Deltoidal Hexecontahedron given Symmetry Diagonal?

Total Surface Area of Deltoidal Hexecontahedron given Symmetry Diagonal formula is defined as the amount or quantity of two dimensional space covered on the surface of Deltoidal Hexecontahedron, calculated using symmetry diagonal of Deltoidal Hexecontahedron and is represented as TSA = 9/11*sqrt(10*(157+(31*sqrt(5))))*(d_Symmetry/(3*sqrt((5-sqrt(5))/20)))^2 or 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. Symmetry Diagonal of Deltoidal Hexecontahedron is the diagonal which cuts the deltoid faces of Deltoidal Hexecontahedron into two equal halves.

How to calculate Total Surface Area of Deltoidal Hexecontahedron given Symmetry Diagonal?

Total Surface Area of Deltoidal Hexecontahedron given Symmetry Diagonal formula is defined as the amount or quantity of two dimensional space covered on the surface of Deltoidal Hexecontahedron, calculated using symmetry diagonal of Deltoidal Hexecontahedron is calculated using 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. To calculate Total Surface Area of Deltoidal Hexecontahedron given Symmetry Diagonal, you need Symmetry Diagonal of Deltoidal Hexecontahedron (d_Symmetry). With our tool, you need to enter the respective value for Symmetry Diagonal 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 Symmetry Diagonal of Deltoidal Hexecontahedron. We can use 3 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))))*((22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5))))^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)

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