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Volume of Small Stellated Dodecahedron given Pyramidal Height 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{5 \cdot h Pyramid}{\sqrt{25 + 10 \cdot \sqrt{5}}})}^{3})

V - Volume of Small Stellated Dodecahedron?h_Pyramid - Pyramidal Height of Small Stellated Dodecahedron?

Volume of Small Stellated Dodecahedron given Pyramidal Height Example

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

Here is how the Volume of Small Stellated Dodecahedron given Pyramidal Height equation looks like.

18032.5771 = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{5 \cdot 14}{\sqrt{25 + 10 \cdot \sqrt{5}}})}^{3})

18032.5771m³ = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{5 \cdot 14m}{\sqrt{25 + 10 \cdot \sqrt{5}}})}^{3})

18032.5771 = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{5 \cdot 14}{\sqrt{25 + 10 \cdot \sqrt{5}}})}^{3})

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Volume of Small Stellated Dodecahedron given Pyramidal Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{5 \cdot 14m}{\sqrt{25 + 10 \cdot \sqrt{5}}})}^{3})

Next Step Prepare to Evaluate

∴

V = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{5 \cdot 14}{\sqrt{25 + 10 \cdot \sqrt{5}}})}^{3})

Next Step Evaluate

∴

V = 18032.5771456863m³

LAST Step Rounding Answer

∴

V = 18032.5771m³

Volume of Small Stellated Dodecahedron given Pyramidal Height 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

Pyramidal Height of Small Stellated Dodecahedron

Pyramidal Height of Small Stellated Dodecahedron is the height of any of the inwards directed tetrahedral pyramids of the Small Stellated Dodecahedron.

Symbol: h_Pyramid

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pyramidal Height 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 Pentagram Chord

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

How to Evaluate Volume of Small Stellated Dodecahedron given Pyramidal Height?

Volume of Small Stellated Dodecahedron given Pyramidal Height evaluator uses Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*(((5*Pyramidal Height of Small Stellated Dodecahedron)/(sqrt(25+10*sqrt(5))))^3) to evaluate the Volume of Small Stellated Dodecahedron, Volume of Small Stellated Dodecahedron given Pyramidal Height formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Small Stellated Dodecahedron, calculated using its pyramidal height. Volume of Small Stellated Dodecahedron is denoted by V symbol.

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

FAQs on Volume of Small Stellated Dodecahedron given Pyramidal Height

What is the formula to find Volume of Small Stellated Dodecahedron given Pyramidal Height?

The formula of Volume of Small Stellated Dodecahedron given Pyramidal Height is expressed as Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*(((5*Pyramidal Height of Small Stellated Dodecahedron)/(sqrt(25+10*sqrt(5))))^3). Here is an example- 18032.58 = ((5/4)*(7+3*sqrt(5)))*(((5*14)/(sqrt(25+10*sqrt(5))))^3).

How to calculate Volume of Small Stellated Dodecahedron given Pyramidal Height?

With Pyramidal Height of Small Stellated Dodecahedron (h_Pyramid) we can find Volume of Small Stellated Dodecahedron given Pyramidal Height using the formula - Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*(((5*Pyramidal Height of Small Stellated Dodecahedron)/(sqrt(25+10*sqrt(5))))^3). This formula also uses Square Root Function 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)))*((Pentagram Chord of Small Stellated Dodecahedron/(2+sqrt(5)))^3)

Can the Volume of Small Stellated Dodecahedron given Pyramidal Height be negative?

No, the Volume of Small Stellated Dodecahedron given Pyramidal Height, measured in Volume cannot be negative.

Which unit is used to measure Volume of Small Stellated Dodecahedron given Pyramidal Height?

Volume of Small Stellated Dodecahedron given Pyramidal Height 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 Pyramidal Height can be measured.

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