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Volume of Pentagonal Hexecontahedron Formula

GoVolume of Pentagonal Hexecontahedron given Long Edge Formula

GoVolume of Pentagonal Hexecontahedron given Snub Dodecahedron Edge Formula

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Volume of Pentagonal Hexecontahedron is the quantity of three dimensional space enclosed by the entire surface of Pentagonal Hexecontahedron. Check FAQs

V = 5 \cdot {l e(Short)}^{3} \cdot \frac{(1 + 0.4715756) \cdot (2 + 3 \cdot 0.4715756)}{(1 - 2 \cdot {0.4715756}^{2}) \cdot \sqrt{1 - 2 \cdot 0.4715756}}

V - Volume of Pentagonal Hexecontahedron?l_e(Short) - Short Edge of Pentagonal Hexecontahedron?

Volume of Pentagonal Hexecontahedron Example

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Here is how the Volume of Pentagonal Hexecontahedron equation looks like with Values.

Here is how the Volume of Pentagonal Hexecontahedron equation looks like with Units.

Here is how the Volume of Pentagonal Hexecontahedron equation looks like.

12146.5424 = 5 \cdot 4^{3} \cdot \frac{(1 + 0.4715756) \cdot (2 + 3 \cdot 0.4715756)}{(1 - 2 \cdot {0.4715756}^{2}) \cdot \sqrt{1 - 2 \cdot 0.4715756}}

12146.5424m³ = 5 \cdot {4m}^{3} \cdot \frac{(1 + 0.4715756) \cdot (2 + 3 \cdot 0.4715756)}{(1 - 2 \cdot {0.4715756}^{2}) \cdot \sqrt{1 - 2 \cdot 0.4715756}}

12146.5424 = 5 \cdot 4^{3} \cdot \frac{(1 + 0.4715756) \cdot (2 + 3 \cdot 0.4715756)}{(1 - 2 \cdot {0.4715756}^{2}) \cdot \sqrt{1 - 2 \cdot 0.4715756}}

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Volume of Pentagonal Hexecontahedron Solution

Follow our step by step solution on how to calculate Volume of Pentagonal Hexecontahedron?

FIRST Step Consider the formula

V = 5 \cdot {l e(Short)}^{3} \cdot \frac{(1 + 0.4715756) \cdot (2 + 3 \cdot 0.4715756)}{(1 - 2 \cdot {0.4715756}^{2}) \cdot \sqrt{1 - 2 \cdot 0.4715756}}

Next Step Substitute values of Variables

∴

V = 5 \cdot {4m}^{3} \cdot \frac{(1 + 0.4715756) \cdot (2 + 3 \cdot 0.4715756)}{(1 - 2 \cdot {0.4715756}^{2}) \cdot \sqrt{1 - 2 \cdot 0.4715756}}

Next Step Prepare to Evaluate

∴

V = 5 \cdot 4^{3} \cdot \frac{(1 + 0.4715756) \cdot (2 + 3 \cdot 0.4715756)}{(1 - 2 \cdot {0.4715756}^{2}) \cdot \sqrt{1 - 2 \cdot 0.4715756}}

Next Step Evaluate

∴

V = 12146.5424201553m³

LAST Step Rounding Answer

∴

V = 12146.5424m³

Volume of Pentagonal Hexecontahedron Formula Elements

Variables

Functions

Volume of Pentagonal Hexecontahedron

Volume of Pentagonal Hexecontahedron is the quantity of three dimensional space enclosed by the entire surface of Pentagonal Hexecontahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Pentagonal Hexecontahedron

Short Edge of Pentagonal Hexecontahedron

Short Edge of Pentagonal Hexecontahedron is the length of the shortest edge which is the base and middle edge of the axial-symmetric pentagonal faces of the Pentagonal Hexecontahedron.

Symbol: l_e(Short)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Edge of Pentagonal Hexecontahedron

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.

Syntax: sqrt(Number)

Other Formulas to find Volume of Pentagonal Hexecontahedron

Go Volume of Pentagonal Hexecontahedron given Long Edge

V = 5 \cdot {(\frac{31 \cdot l e(Long)}{((7 \cdot [phi] + 2) + (5 \cdot [phi] - 3) + 2 \cdot (8 - 3 \cdot [phi])) \cdot \sqrt{2 + 2 \cdot (0.4715756)}})}^{3} \cdot \frac{(1 + 0.4715756) \cdot (2 + 3 \cdot 0.4715756)}{(1 - 2 \cdot {0.4715756}^{2}) \cdot \sqrt{1 - 2 \cdot 0.4715756}}

Go Volume of Pentagonal Hexecontahedron given Snub Dodecahedron Edge

V = 5 \cdot {(\frac{l e(Snub Dodecahedron)}{\sqrt{2 + 2 \cdot (0.4715756)}})}^{3} \cdot \frac{(1 + 0.4715756) \cdot (2 + 3 \cdot 0.4715756)}{(1 - 2 \cdot {0.4715756}^{2}) \cdot \sqrt{1 - 2 \cdot 0.4715756}}

Go Volume of Pentagonal Hexecontahedron given Total Surface Area

V = 5 \cdot {(\frac{TSA \cdot (1 - 2 \cdot {0.4715756}^{2})}{30 \cdot (2 + 3 \cdot 0.4715756) \cdot \sqrt{1 - {0.4715756}^{2}}})}^{\frac{3}{2}} \cdot \frac{(1 + 0.4715756) \cdot (2 + 3 \cdot 0.4715756)}{(1 - 2 \cdot {0.4715756}^{2}) \cdot \sqrt{1 - 2 \cdot 0.4715756}}

Go Volume of Pentagonal Hexecontahedron given Midsphere Radius

V = 5 \cdot {(\frac{r m}{\sqrt{\frac{1 + 0.4715756}{2 \cdot (1 - 2 \cdot 0.4715756)}}})}^{3} \cdot \frac{(1 + 0.4715756) \cdot (2 + 3 \cdot 0.4715756)}{(1 - 2 \cdot {0.4715756}^{2}) \cdot \sqrt{1 - 2 \cdot 0.4715756}}

How to Evaluate Volume of Pentagonal Hexecontahedron?

Volume of Pentagonal Hexecontahedron evaluator uses Volume of Pentagonal Hexecontahedron = 5*Short Edge of Pentagonal Hexecontahedron^3*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756)) to evaluate the Volume of Pentagonal Hexecontahedron, Volume of Pentagonal Hexecontahedron formula is defined as the quantity of three dimensional space enclosed by the entire surface of Pentagonal Hexecontahedron. Volume of Pentagonal Hexecontahedron is denoted by V symbol.

How to evaluate Volume of Pentagonal Hexecontahedron using this online evaluator? To use this online evaluator for Volume of Pentagonal Hexecontahedron, enter Short Edge of Pentagonal Hexecontahedron (l_e(Short)) and hit the calculate button.

FAQs on Volume of Pentagonal Hexecontahedron

What is the formula to find Volume of Pentagonal Hexecontahedron?

The formula of Volume of Pentagonal Hexecontahedron is expressed as Volume of Pentagonal Hexecontahedron = 5*Short Edge of Pentagonal Hexecontahedron^3*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756)). Here is an example- 12146.54 = 5*4^3*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756)).

How to calculate Volume of Pentagonal Hexecontahedron?

With Short Edge of Pentagonal Hexecontahedron (l_e(Short)) we can find Volume of Pentagonal Hexecontahedron using the formula - Volume of Pentagonal Hexecontahedron = 5*Short Edge of Pentagonal Hexecontahedron^3*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Pentagonal Hexecontahedron?

Here are the different ways to Calculate Volume of Pentagonal Hexecontahedron-

Volume of Pentagonal Hexecontahedron=5*((31*Long Edge of Pentagonal Hexecontahedron)/(((7*[phi]+2)+(5*[phi]-3)+2*(8-3*[phi]))*sqrt(2+2*(0.4715756))))^3*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756))
Volume of Pentagonal Hexecontahedron=5*(Snub Dodecahedron Edge Pentagonal Hexecontahedron/sqrt(2+2*(0.4715756)))^3*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756))
Volume of Pentagonal Hexecontahedron=5*((Total Surface Area of Pentagonal Hexecontahedron*(1-2*0.4715756^2))/(30*(2+3*0.4715756)*sqrt(1-0.4715756^2)))^(3/2)*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756))

Can the Volume of Pentagonal Hexecontahedron be negative?

No, the Volume of Pentagonal Hexecontahedron, measured in Volume cannot be negative.

Which unit is used to measure Volume of Pentagonal Hexecontahedron?

Volume of Pentagonal Hexecontahedron is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Pentagonal Hexecontahedron can be measured.

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