Volume of Deltoidal Hexecontahedron given Short Edge Calculator

✖Short Edge of Deltoidal Hexecontahedron is the length of shortest edge of the identical deltoidal faces of Deltoidal Hexecontahedron.ⓘ Short Edge of Deltoidal Hexecontahedron [l_e(Short)]

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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 Short Edge [V]

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Formula

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Volume of Deltoidal Hexecontahedron given Short Edge

Formula

`"V" = 45/11*sqrt((370+(164*sqrt(5)))/25)*((22*"l"_{"e(Short)"})/(3*(7-sqrt(5))))^3`

Example

`"17496.9m³"=45/11*sqrt((370+(164*sqrt(5)))/25)*((22*"6m")/(3*(7-sqrt(5))))^3`

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Volume of Deltoidal Hexecontahedron given Short Edge Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

V = 45/11*sqrt((370+(164*sqrt(5)))/25)*((22*l_e(Short))/(3*(7-sqrt(5))))^3 --> 45/11*sqrt((370+(164*sqrt(5)))/25)*((22*6)/(3*(7-sqrt(5))))^3

Evaluating ... ...

V = 17496.8950252415

STEP 3: Convert Result to Output's Unit

17496.8950252415 Cubic Meter --> No Conversion Required

FINAL ANSWER

17496.8950252415 ≈ 17496.9 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 Short Edge 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 Short Edge?

Volume of Deltoidal Hexecontahedron given Short Edge calculator uses Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5))))^3 to calculate the Volume of Deltoidal Hexecontahedron, Volume of Deltoidal Hexecontahedron given Short Edge formula is defined as the quantity of three dimensional space enclosed by the entire surface of Deltoidal Hexecontahedron, calculated using short edge of Deltoidal Hexecontahedron. Volume of Deltoidal Hexecontahedron is denoted by V symbol.

How to calculate Volume of Deltoidal Hexecontahedron given Short Edge using this online calculator? To use this online calculator for Volume of Deltoidal Hexecontahedron given Short Edge, enter Short Edge of Deltoidal Hexecontahedron (l_e(Short)) and hit the calculate button. Here is how the Volume of Deltoidal Hexecontahedron given Short Edge calculation can be explained with given input values -> 17496.9 = 45/11*sqrt((370+(164*sqrt(5)))/25)*((22*6)/(3*(7-sqrt(5))))^3.

FAQ

What is Volume of Deltoidal Hexecontahedron given Short Edge?

Volume of Deltoidal Hexecontahedron given Short Edge formula is defined as the quantity of three dimensional space enclosed by the entire surface of Deltoidal Hexecontahedron, calculated using short edge of Deltoidal Hexecontahedron and is represented as V = 45/11*sqrt((370+(164*sqrt(5)))/25)*((22*l_e(Short))/(3*(7-sqrt(5))))^3 or Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5))))^3. Short Edge of Deltoidal Hexecontahedron is the length of shortest edge of the identical deltoidal faces of Deltoidal Hexecontahedron.

How to calculate Volume of Deltoidal Hexecontahedron given Short Edge?

Volume of Deltoidal Hexecontahedron given Short Edge formula is defined as the quantity of three dimensional space enclosed by the entire surface of Deltoidal Hexecontahedron, calculated using short edge of Deltoidal Hexecontahedron is calculated using Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5))))^3. To calculate Volume of Deltoidal Hexecontahedron given Short Edge, you need Short Edge of Deltoidal Hexecontahedron (l_e(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 Volume of Deltoidal Hexecontahedron?

In this formula, Volume 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 -

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)*(Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20)))^3
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 = 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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