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Volume of Small Stellated Dodecahedron given Pentagram Chord Formula

GoVolume of Small Stellated Dodecahedron Formula

GoVolume of Small Stellated Dodecahedron given Ridge Length Formula

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

V = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{l c(Pentagram)}{2 + \sqrt{5}})}^{3})

V - Volume of Small Stellated Dodecahedron?l_c(Pentagram) - Pentagram Chord of Small Stellated Dodecahedron?

Volume of Small Stellated Dodecahedron given Pentagram Chord Example

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Here is how the Volume of Small Stellated Dodecahedron given Pentagram Chord equation looks like with Units.

Here is how the Volume of Small Stellated Dodecahedron given Pentagram Chord equation looks like.

16701.277 = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{42}{2 + \sqrt{5}})}^{3})

16701.277m³ = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{42m}{2 + \sqrt{5}})}^{3})

16701.277 = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{42}{2 + \sqrt{5}})}^{3})

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Volume of Small Stellated Dodecahedron given Pentagram Chord Solution

Follow our step by step solution on how to calculate Volume of Small Stellated Dodecahedron given Pentagram Chord?

FIRST Step Consider the formula

V = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{l c(Pentagram)}{2 + \sqrt{5}})}^{3})

Next Step Substitute values of Variables

∴

V = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{42m}{2 + \sqrt{5}})}^{3})

Next Step Prepare to Evaluate

∴

V = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{42}{2 + \sqrt{5}})}^{3})

Next Step Evaluate

∴

V = 16701.2769812776m³

LAST Step Rounding Answer

∴

V = 16701.277m³

Volume of Small Stellated Dodecahedron given Pentagram Chord Formula Elements

Variables

Functions

Volume of Small Stellated Dodecahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Small Stellated Dodecahedron

Pentagram Chord of Small Stellated Dodecahedron

Pentagram Chord of Small Stellated Dodecahedron is the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Small Stellated Dodecahedron.

Symbol: l_c(Pentagram)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pentagram Chord of Small 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 Small Stellated Dodecahedron

Go Volume of Small Stellated Dodecahedron

V = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(l e)}^{3})

Go Volume of Small Stellated Dodecahedron given Ridge Length

V = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{2 \cdot l Ridge}{1 + \sqrt{5}})}^{3})

Go Volume of Small Stellated Dodecahedron given Circumradius

V = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{4 \cdot r c}{\sqrt{50 + 22 \cdot \sqrt{5}}})}^{3})

Go Volume of Small Stellated Dodecahedron given Pyramidal Height

V = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{5 \cdot h Pyramid}{\sqrt{25 + 10 \cdot \sqrt{5}}})}^{3})

How to Evaluate Volume of Small Stellated Dodecahedron given Pentagram Chord?

Volume of Small Stellated Dodecahedron given Pentagram Chord evaluator uses Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*((Pentagram Chord of Small Stellated Dodecahedron/(2+sqrt(5)))^3) to evaluate the Volume of Small Stellated Dodecahedron, Volume of Small Stellated Dodecahedron given Pentagram Chord formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Small Stellated Dodecahedron, calculated using its pentagram chord. Volume of Small Stellated Dodecahedron is denoted by V symbol.

How to evaluate Volume of Small Stellated Dodecahedron given Pentagram Chord using this online evaluator? To use this online evaluator for Volume of Small Stellated Dodecahedron given Pentagram Chord, enter Pentagram Chord of Small Stellated Dodecahedron (l_c(Pentagram)) and hit the calculate button.

FAQs on Volume of Small Stellated Dodecahedron given Pentagram Chord

What is the formula to find Volume of Small Stellated Dodecahedron given Pentagram Chord?

The formula of Volume of Small Stellated Dodecahedron given Pentagram Chord is expressed as Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*((Pentagram Chord of Small Stellated Dodecahedron/(2+sqrt(5)))^3). Here is an example- 16701.28 = ((5/4)*(7+3*sqrt(5)))*((42/(2+sqrt(5)))^3).

How to calculate Volume of Small Stellated Dodecahedron given Pentagram Chord?

With Pentagram Chord of Small Stellated Dodecahedron (l_c(Pentagram)) we can find Volume of Small Stellated Dodecahedron given Pentagram Chord using the formula - Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*((Pentagram Chord of Small Stellated Dodecahedron/(2+sqrt(5)))^3). This formula also uses Square Root (sqrt) function(s).

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

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

Volume of Small Stellated Dodecahedron=((5/4)*(7+3*sqrt(5)))*((Edge Length of Small Stellated Dodecahedron)^3)
Volume of Small Stellated Dodecahedron=((5/4)*(7+3*sqrt(5)))*(((2*Ridge Length of Small Stellated Dodecahedron)/(1+sqrt(5)))^3)
Volume of Small Stellated Dodecahedron=((5/4)*(7+3*sqrt(5)))*(((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5))))^3)

Can the Volume of Small Stellated Dodecahedron given Pentagram Chord be negative?

No, the Volume of Small Stellated Dodecahedron given Pentagram Chord, measured in Volume cannot be negative.

Which unit is used to measure Volume of Small Stellated Dodecahedron given Pentagram Chord?

Volume of Small Stellated Dodecahedron given Pentagram Chord 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 Small Stellated Dodecahedron given Pentagram Chord can be measured.

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