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Pyramidal Height of Great Stellated Dodecahedron given Circumradius Formula

GoPyramidal Height of Great Stellated Dodecahedron Formula

GoPyramidal Height of Great Stellated Dodecahedron given Ridge Length Formula

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Pyramidal Height of Great Stellated Dodecahedron is the height of any of the inwards directed tetrahedral pyramids of the Great Stellated Dodecahedron. Check FAQs

h Pyramid = \frac{2 \cdot r c}{3}

h_Pyramid - Pyramidal Height of Great Stellated Dodecahedron?r_c - Circumradius of Great Stellated Dodecahedron?

Pyramidal Height of Great Stellated Dodecahedron given Circumradius Example

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Here is how the Pyramidal Height of Great Stellated Dodecahedron given Circumradius equation looks like with Values.

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

Here is how the Pyramidal Height of Great Stellated Dodecahedron given Circumradius equation looks like.

15.3333 = \frac{2 \cdot 23}{3}

15.3333m = \frac{2 \cdot 23m}{3}

15.3333 = \frac{2 \cdot 23}{3}

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Pyramidal Height of Great Stellated Dodecahedron given Circumradius Solution

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

FIRST Step Consider the formula

h Pyramid = \frac{2 \cdot r c}{3}

Next Step Substitute values of Variables

∴

h Pyramid = \frac{2 \cdot 23m}{3}

Next Step Prepare to Evaluate

∴

h Pyramid = \frac{2 \cdot 23}{3}

Next Step Evaluate

∴

h Pyramid = 15.3333333333333m

LAST Step Rounding Answer

∴

h Pyramid = 15.3333m

Pyramidal Height of Great Stellated Dodecahedron given Circumradius Formula Elements

Variables

Pyramidal Height of Great Stellated Dodecahedron

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

Symbol: h_Pyramid

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pyramidal Height of Great Stellated Dodecahedron

Circumradius of Great Stellated Dodecahedron

Circumradius of Great Stellated Dodecahedron is the radius of sphere that contains Great Stellated Dodecahedron in such a way that all vertices are lying on the sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius of Great Stellated Dodecahedron

Other Formulas to find Pyramidal Height of Great Stellated Dodecahedron

Go Pyramidal Height of Great Stellated Dodecahedron

h Pyramid = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{6} \cdot l e

Go Pyramidal Height of Great Stellated Dodecahedron given Ridge Length

h Pyramid = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{6} \cdot \frac{2 \cdot l Ridge}{1 + \sqrt{5}}

Go Pyramidal Height of Great Stellated Dodecahedron given Pentagram Chord

h Pyramid = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{6} \cdot \frac{l c(Pentagram)}{2 + \sqrt{5}}

Go Pyramidal Height of Great Stellated Dodecahedron given Total Surface Area

h Pyramid = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{6} \cdot \sqrt{\frac{TSA}{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

How to Evaluate Pyramidal Height of Great Stellated Dodecahedron given Circumradius?

Pyramidal Height of Great Stellated Dodecahedron given Circumradius evaluator uses Pyramidal Height of Great Stellated Dodecahedron = (2*Circumradius of Great Stellated Dodecahedron)/3 to evaluate the Pyramidal Height of Great Stellated Dodecahedron, Pyramidal Height of Great Stellated Dodecahedron given Circumradius formula is defined as the the height of any of the inwards directed tetrahedral pyramids of the Great Stellated Dodecahedron, calculated using its circumradius. Pyramidal Height of Great Stellated Dodecahedron is denoted by h_Pyramid symbol.

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

FAQs on Pyramidal Height of Great Stellated Dodecahedron given Circumradius

What is the formula to find Pyramidal Height of Great Stellated Dodecahedron given Circumradius?

The formula of Pyramidal Height of Great Stellated Dodecahedron given Circumradius is expressed as Pyramidal Height of Great Stellated Dodecahedron = (2*Circumradius of Great Stellated Dodecahedron)/3. Here is an example- 15.33333 = (2*23)/3.

How to calculate Pyramidal Height of Great Stellated Dodecahedron given Circumradius?

With Circumradius of Great Stellated Dodecahedron (r_c) we can find Pyramidal Height of Great Stellated Dodecahedron given Circumradius using the formula - Pyramidal Height of Great Stellated Dodecahedron = (2*Circumradius of Great Stellated Dodecahedron)/3.

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

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

Pyramidal Height of Great Stellated Dodecahedron=(sqrt(3)*(3+sqrt(5)))/6*Edge Length of Great Stellated Dodecahedron
Pyramidal Height of Great Stellated Dodecahedron=(sqrt(3)*(3+sqrt(5)))/6*(2*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5))
Pyramidal Height of Great Stellated Dodecahedron=(sqrt(3)*(3+sqrt(5)))/6*Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5))

Can the Pyramidal Height of Great Stellated Dodecahedron given Circumradius be negative?

No, the Pyramidal Height of Great Stellated Dodecahedron given Circumradius, measured in Length cannot be negative.

Which unit is used to measure Pyramidal Height of Great Stellated Dodecahedron given Circumradius?

Pyramidal Height of Great Stellated Dodecahedron given Circumradius is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Pyramidal Height of Great Stellated Dodecahedron given Circumradius can be measured.

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