Volume of Deltoidal Hexecontahedron given NonSymmetry Diagonal Calculator

✖NonSymmetry Diagonal of Deltoidal Hexecontahedron is the length of the diagonal which divides the deltoid faces of Deltoidal Hexecontahedron into two isosceles triangles.ⓘ NonSymmetry Diagonal of Deltoidal Hexecontahedron [d_{Non Symmetry}]

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✖Volume of Deltoidal Hexecontahedron is the quantity of three dimensional space enclosed by the entire surface of Deltoidal Hexecontahedron.ⓘ Volume of Deltoidal Hexecontahedron given NonSymmetry Diagonal [V]

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Formula

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Volume of Deltoidal Hexecontahedron given NonSymmetry Diagonal

Formula

`"V" = 45/11*sqrt((370+(164*sqrt(5)))/25)*((11*"d"_{"Non Symmetry"})/(sqrt((470+(156*sqrt(5)))/5)))^3`

Example

`"24371.85m³"=45/11*sqrt((370+(164*sqrt(5)))/25)*((11*"12m")/(sqrt((470+(156*sqrt(5)))/5)))^3`

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Volume of Deltoidal Hexecontahedron given NonSymmetry Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/(sqrt((470+(156*sqrt(5)))/5)))^3
V = 45/11*sqrt((370+(164*sqrt(5)))/25)*((11*d_{Non Symmetry})/(sqrt((470+(156*sqrt(5)))/5)))^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

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.
NonSymmetry Diagonal of Deltoidal Hexecontahedron - (Measured in Meter) - NonSymmetry Diagonal of Deltoidal Hexecontahedron is the length of the diagonal which divides the deltoid faces of Deltoidal Hexecontahedron into two isosceles triangles.

STEP 1: Convert Input(s) to Base Unit

NonSymmetry Diagonal of Deltoidal Hexecontahedron: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 45/11*sqrt((370+(164*sqrt(5)))/25)*((11*d_{Non Symmetry})/(sqrt((470+(156*sqrt(5)))/5)))^3 --> 45/11*sqrt((370+(164*sqrt(5)))/25)*((11*12)/(sqrt((470+(156*sqrt(5)))/5)))^3

Evaluating ... ...

V = 24371.8505890983

STEP 3: Convert Result to Output's Unit

24371.8505890983 Cubic Meter --> No Conversion Required

FINAL ANSWER

24371.8505890983 ≈ 24371.85 Cubic Meter <-- Volume of Deltoidal Hexecontahedron

(Calculation completed in 00.004 seconds)

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< 8 Volume of Deltoidal Hexecontahedron Calculators

Volume of Deltoidal Hexecontahedron given Surface to Volume Ratio

Go Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((9/45*sqrt(10*(157+(31*sqrt(5)))))/(SA:V of Deltoidal Hexecontahedron*sqrt((370+(164*sqrt(5)))/25)))^3

Volume of Deltoidal Hexecontahedron given Total Surface Area

Go Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*(sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/(9*sqrt(10*(157+(31*sqrt(5)))))))^3

Volume of Deltoidal Hexecontahedron given NonSymmetry Diagonal

Go Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/(sqrt((470+(156*sqrt(5)))/5)))^3

Volume of Deltoidal Hexecontahedron given Insphere Radius

Go Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((2*Insphere Radius of Deltoidal Hexecontahedron)/(3*sqrt((135+(59*sqrt(5)))/205)))^3

Volume of Deltoidal Hexecontahedron given Symmetry Diagonal

Go Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*(Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20)))^3

Volume of Deltoidal Hexecontahedron given Midsphere Radius

Go Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((20*Midsphere Radius of Deltoidal Hexecontahedron)/(3*(5+(3*sqrt(5)))))^3

Volume of Deltoidal Hexecontahedron given Short Edge

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

Volume of Deltoidal Hexecontahedron

Go Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*Long Edge of Deltoidal Hexecontahedron^3

Volume of Deltoidal Hexecontahedron given NonSymmetry Diagonal Formula

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 Volume of Deltoidal Hexecontahedron given NonSymmetry Diagonal?

Volume of Deltoidal Hexecontahedron given NonSymmetry Diagonal calculator uses Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/(sqrt((470+(156*sqrt(5)))/5)))^3 to calculate the Volume of Deltoidal Hexecontahedron, Volume of Deltoidal Hexecontahedron given NonSymmetry Diagonal formula is defined as the quantity of three dimensional space enclosed by the entire surface of Deltoidal Hexecontahedron, calculated using nonsymmetry diagonal of Deltoidal Hexecontahedron. Volume of Deltoidal Hexecontahedron is denoted by V symbol.

How to calculate Volume of Deltoidal Hexecontahedron given NonSymmetry Diagonal using this online calculator? To use this online calculator for Volume of Deltoidal Hexecontahedron given NonSymmetry Diagonal, enter NonSymmetry Diagonal of Deltoidal Hexecontahedron (d_{Non Symmetry}) and hit the calculate button. Here is how the Volume of Deltoidal Hexecontahedron given NonSymmetry Diagonal calculation can be explained with given input values -> 24371.85 = 45/11*sqrt((370+(164*sqrt(5)))/25)*((11*12)/(sqrt((470+(156*sqrt(5)))/5)))^3.

FAQ

What is Volume of Deltoidal Hexecontahedron given NonSymmetry Diagonal?

Volume of Deltoidal Hexecontahedron given NonSymmetry Diagonal formula is defined as the quantity of three dimensional space enclosed by the entire surface of Deltoidal Hexecontahedron, calculated using nonsymmetry diagonal of Deltoidal Hexecontahedron and is represented as V = 45/11*sqrt((370+(164*sqrt(5)))/25)*((11*d_{Non Symmetry})/(sqrt((470+(156*sqrt(5)))/5)))^3 or Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/(sqrt((470+(156*sqrt(5)))/5)))^3. NonSymmetry Diagonal of Deltoidal Hexecontahedron is the length of the diagonal which divides the deltoid faces of Deltoidal Hexecontahedron into two isosceles triangles.

How to calculate Volume of Deltoidal Hexecontahedron given NonSymmetry Diagonal?

Volume of Deltoidal Hexecontahedron given NonSymmetry Diagonal formula is defined as the quantity of three dimensional space enclosed by the entire surface of Deltoidal Hexecontahedron, calculated using nonsymmetry diagonal of Deltoidal Hexecontahedron is calculated using Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/(sqrt((470+(156*sqrt(5)))/5)))^3. To calculate Volume of Deltoidal Hexecontahedron given NonSymmetry Diagonal, you need NonSymmetry Diagonal of Deltoidal Hexecontahedron (d_{Non Symmetry}). With our tool, you need to enter the respective value for NonSymmetry 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 Volume of Deltoidal Hexecontahedron?

In this formula, Volume of Deltoidal Hexecontahedron uses NonSymmetry Diagonal of Deltoidal Hexecontahedron. We can use 7 other way(s) to calculate the same, which is/are as follows -

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

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