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Volume of Great Stellated Dodecahedron given Ridge Length Formula

GoVolume of Great Stellated Dodecahedron Formula

GoVolume of Great Stellated Dodecahedron given Pentagram Chord Formula

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Volume of Great Stellated Dodecahedron is the total quantity of three-dimensional space enclosed by the surface of the Great Stellated Dodecahedron. Check FAQs

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

V - Volume of Great Stellated Dodecahedron?l_Ridge - Ridge Length of Great Stellated Dodecahedron?

Volume of Great Stellated Dodecahedron given Ridge Length Example

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Here is how the Volume of Great Stellated Dodecahedron given Ridge Length equation looks like with Values.

Here is how the Volume of Great Stellated Dodecahedron given Ridge Length equation looks like with Units.

Here is how the Volume of Great Stellated Dodecahedron given Ridge Length equation looks like.

6328.668 = \frac{5}{4} \cdot (3 + \sqrt{5}) \cdot {(\frac{2 \cdot 16}{1 + \sqrt{5}})}^{3}

6328.668m³ = \frac{5}{4} \cdot (3 + \sqrt{5}) \cdot {(\frac{2 \cdot 16m}{1 + \sqrt{5}})}^{3}

6328.668 = \frac{5}{4} \cdot (3 + \sqrt{5}) \cdot {(\frac{2 \cdot 16}{1 + \sqrt{5}})}^{3}

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Volume of Great Stellated Dodecahedron given Ridge Length Solution

Follow our step by step solution on how to calculate Volume of Great Stellated Dodecahedron given Ridge Length?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{5}{4} \cdot (3 + \sqrt{5}) \cdot {(\frac{2 \cdot 16m}{1 + \sqrt{5}})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{5}{4} \cdot (3 + \sqrt{5}) \cdot {(\frac{2 \cdot 16}{1 + \sqrt{5}})}^{3}

Next Step Evaluate

∴

V = 6328.66804479892m³

LAST Step Rounding Answer

∴

V = 6328.668m³

Volume of Great Stellated Dodecahedron given Ridge Length Formula Elements

Variables

Functions

Volume of Great Stellated Dodecahedron

Volume of Great Stellated Dodecahedron is the total quantity of three-dimensional space enclosed by the surface of the Great Stellated Dodecahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Great Stellated Dodecahedron

Ridge Length of Great Stellated Dodecahedron

Ridge Length of Great Stellated Dodecahedron is the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Stellated Dodecahedron.

Symbol: l_Ridge

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Ridge Length of Great Stellated Dodecahedron

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 Great Stellated Dodecahedron

Go Volume of Great Stellated Dodecahedron

V = \frac{5}{4} \cdot (3 + \sqrt{5}) \cdot {l e}^{3}

Go Volume of Great Stellated Dodecahedron given Pentagram Chord

V = \frac{5}{4} \cdot (3 + \sqrt{5}) \cdot {(\frac{l c(Pentagram)}{2 + \sqrt{5}})}^{3}

Go Volume of Great Stellated Dodecahedron given Circumradius

V = \frac{5}{4} \cdot (3 + \sqrt{5}) \cdot {(\frac{4 \cdot r c}{\sqrt{3} \cdot (3 + \sqrt{5})})}^{3}

Go Volume of Great Stellated Dodecahedron given Pyramidal Height

V = \frac{5}{4} \cdot (3 + \sqrt{5}) \cdot {(\frac{6 \cdot h Pyramid}{\sqrt{3} \cdot (3 + \sqrt{5})})}^{3}

How to Evaluate Volume of Great Stellated Dodecahedron given Ridge Length?

Volume of Great Stellated Dodecahedron given Ridge Length evaluator uses Volume of Great Stellated Dodecahedron = 5/4*(3+sqrt(5))*((2*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5)))^3 to evaluate the Volume of Great Stellated Dodecahedron, Volume of Great Stellated Dodecahedron given Ridge Length formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Great Stellated Dodecahedron, calculated using its ridge length. Volume of Great Stellated Dodecahedron is denoted by V symbol.

How to evaluate Volume of Great Stellated Dodecahedron given Ridge Length using this online evaluator? To use this online evaluator for Volume of Great Stellated Dodecahedron given Ridge Length, enter Ridge Length of Great Stellated Dodecahedron (l_Ridge) and hit the calculate button.

FAQs on Volume of Great Stellated Dodecahedron given Ridge Length

What is the formula to find Volume of Great Stellated Dodecahedron given Ridge Length?

The formula of Volume of Great Stellated Dodecahedron given Ridge Length is expressed as Volume of Great Stellated Dodecahedron = 5/4*(3+sqrt(5))*((2*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5)))^3. Here is an example- 6328.668 = 5/4*(3+sqrt(5))*((2*16)/(1+sqrt(5)))^3.

How to calculate Volume of Great Stellated Dodecahedron given Ridge Length?

With Ridge Length of Great Stellated Dodecahedron (l_Ridge) we can find Volume of Great Stellated Dodecahedron given Ridge Length using the formula - Volume of Great Stellated Dodecahedron = 5/4*(3+sqrt(5))*((2*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5)))^3. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Great Stellated Dodecahedron?

Here are the different ways to Calculate Volume of Great Stellated Dodecahedron-

Volume of Great Stellated Dodecahedron=5/4*(3+sqrt(5))*Edge Length of Great Stellated Dodecahedron^3
Volume of Great Stellated Dodecahedron=5/4*(3+sqrt(5))*(Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5)))^3
Volume of Great Stellated Dodecahedron=5/4*(3+sqrt(5))*((4*Circumradius of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5))))^3

Can the Volume of Great Stellated Dodecahedron given Ridge Length be negative?

No, the Volume of Great Stellated Dodecahedron given Ridge Length, measured in Volume cannot be negative.

Which unit is used to measure Volume of Great Stellated Dodecahedron given Ridge Length?

Volume of Great Stellated Dodecahedron given Ridge Length 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 Great Stellated Dodecahedron given Ridge Length can be measured.

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