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Volume of Pentagonal Hexecontahedron given Snub Dodecahedron Edge Formula

GoVolume of Pentagonal Hexecontahedron given Long Edge Formula

GoVolume of Pentagonal Hexecontahedron 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 {(\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}}

V - Volume of Pentagonal Hexecontahedron?l_{e(Snub Dodecahedron)} - Snub Dodecahedron Edge Pentagonal Hexecontahedron?

Volume of Pentagonal Hexecontahedron given Snub Dodecahedron Edge Example

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Here is how the Volume of Pentagonal Hexecontahedron given Snub Dodecahedron Edge equation looks like with Values.

Here is how the Volume of Pentagonal Hexecontahedron given Snub Dodecahedron Edge equation looks like with Units.

Here is how the Volume of Pentagonal Hexecontahedron given Snub Dodecahedron Edge equation looks like.

12892.8211 = 5 \cdot {(\frac{7}{\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}}

12892.8211m³ = 5 \cdot {(\frac{7m}{\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}}

12892.8211 = 5 \cdot {(\frac{7}{\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}}

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Volume of Pentagonal Hexecontahedron given Snub Dodecahedron Edge Solution

Follow our step by step solution on how to calculate Volume of Pentagonal Hexecontahedron given Snub Dodecahedron Edge?

FIRST Step Consider the formula

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}}

Next Step Substitute values of Variables

∴

V = 5 \cdot {(\frac{7m}{\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}}

Next Step Prepare to Evaluate

∴

V = 5 \cdot {(\frac{7}{\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}}

Next Step Evaluate

∴

V = 12892.8210989361m³

LAST Step Rounding Answer

∴

V = 12892.8211m³

Volume of Pentagonal Hexecontahedron given Snub Dodecahedron Edge 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

Snub Dodecahedron Edge Pentagonal Hexecontahedron

Snub Dodecahedron Edge Pentagonal Hexecontahedron is the length of any edge of the Snub Dodecahedron of which the dual body is the Pentagonal Hexecontahedron.

Symbol: l_{e(Snub Dodecahedron)}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Snub Dodecahedron Edge 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

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}}

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 given Snub Dodecahedron Edge?

Volume of Pentagonal Hexecontahedron given Snub Dodecahedron Edge evaluator uses 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)) to evaluate the Volume of Pentagonal Hexecontahedron, Volume of Pentagonal Hexecontahedron given Snub Dodecahedron Edge formula is defined as the quantity of three dimensional space enclosed by the entire surface of Pentagonal Hexecontahedron, calculated using snub dodecahedron edge of Pentagonal Hexecontahedron. Volume of Pentagonal Hexecontahedron is denoted by V symbol.

How to evaluate Volume of Pentagonal Hexecontahedron given Snub Dodecahedron Edge using this online evaluator? To use this online evaluator for Volume of Pentagonal Hexecontahedron given Snub Dodecahedron Edge, enter Snub Dodecahedron Edge Pentagonal Hexecontahedron (l_{e(Snub Dodecahedron)}) and hit the calculate button.

FAQs on Volume of Pentagonal Hexecontahedron given Snub Dodecahedron Edge

What is the formula to find Volume of Pentagonal Hexecontahedron given Snub Dodecahedron Edge?

The formula of Volume of Pentagonal Hexecontahedron given Snub Dodecahedron Edge is expressed as 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)). Here is an example- 12892.82 = 5*(7/sqrt(2+2*(0.4715756)))^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 given Snub Dodecahedron Edge?

With Snub Dodecahedron Edge Pentagonal Hexecontahedron (l_{e(Snub Dodecahedron)}) we can find Volume of Pentagonal Hexecontahedron given Snub Dodecahedron Edge using the formula - 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)). 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*Short Edge of Pentagonal Hexecontahedron^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 given Snub Dodecahedron Edge be negative?

No, the Volume of Pentagonal Hexecontahedron given Snub Dodecahedron Edge, measured in Volume cannot be negative.

Which unit is used to measure Volume of Pentagonal Hexecontahedron given Snub Dodecahedron Edge?

Volume of Pentagonal Hexecontahedron given Snub Dodecahedron Edge 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 given Snub Dodecahedron Edge can be measured.

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