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Pyramidal Height of Great Dodecahedron Formula

GoPyramidal Height of Great Dodecahedron given Ridge Length Formula

GoPyramidal Height of Great Dodecahedron given Circumsphere Radius Formula

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

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

h_Pyramid - Pyramidal Height of Great Dodecahedron?l_e - Edge Length of Great Dodecahedron?

Pyramidal Height of Great Dodecahedron Example

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

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

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

2.2053 = \frac{\sqrt{3} \cdot (3 - \sqrt{5})}{6} \cdot 10

2.2053m = \frac{\sqrt{3} \cdot (3 - \sqrt{5})}{6} \cdot 10m

2.2053 = \frac{\sqrt{3} \cdot (3 - \sqrt{5})}{6} \cdot 10

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Pyramidal Height of Great Dodecahedron Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h Pyramid = \frac{\sqrt{3} \cdot (3 - \sqrt{5})}{6} \cdot 10m

Next Step Prepare to Evaluate

∴

h Pyramid = \frac{\sqrt{3} \cdot (3 - \sqrt{5})}{6} \cdot 10

Next Step Evaluate

∴

h Pyramid = 2.20528179416536m

LAST Step Rounding Answer

∴

h Pyramid = 2.2053m

Pyramidal Height of Great Dodecahedron Formula Elements

Variables

Functions

Pyramidal Height of Great Dodecahedron

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

Symbol: h_Pyramid

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pyramidal Height of Great Dodecahedron

Edge Length of Great Dodecahedron

Edge Length of Great Dodecahedron is the distance between any pair of adjacent peak vertices of the Great Dodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Great 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 Pyramidal Height of Great Dodecahedron

Go Pyramidal Height of Great Dodecahedron given Ridge Length

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

Go Pyramidal Height of Great Dodecahedron given Circumsphere Radius

h Pyramid = \frac{\sqrt{3} \cdot (3 - \sqrt{5})}{6} \cdot \frac{4 \cdot r c}{\sqrt{10 + (2 \cdot \sqrt{5})}}

Go Pyramidal Height of Great 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})}}}

Go Pyramidal Height of Great Dodecahedron given Volume

h Pyramid = \frac{\sqrt{3} \cdot (3 - \sqrt{5})}{6} \cdot {(\frac{4 \cdot V}{5 \cdot (\sqrt{5} - 1)})}^{\frac{1}{3}}

How to Evaluate Pyramidal Height of Great Dodecahedron?

Pyramidal Height of Great Dodecahedron evaluator uses Pyramidal Height of Great Dodecahedron = (sqrt(3)*(3-sqrt(5)))/6*Edge Length of Great Dodecahedron to evaluate the Pyramidal Height of Great Dodecahedron, Pyramidal Height of Great Dodecahedron formula is defined as the height of any of the inwards-directed tetrahedral pyramids of the Great Dodecahedron. Pyramidal Height of Great Dodecahedron is denoted by h_Pyramid symbol.

How to evaluate Pyramidal Height of Great Dodecahedron using this online evaluator? To use this online evaluator for Pyramidal Height of Great Dodecahedron, enter Edge Length of Great Dodecahedron (l_e) and hit the calculate button.

FAQs on Pyramidal Height of Great Dodecahedron

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

The formula of Pyramidal Height of Great Dodecahedron is expressed as Pyramidal Height of Great Dodecahedron = (sqrt(3)*(3-sqrt(5)))/6*Edge Length of Great Dodecahedron. Here is an example- 2.205282 = (sqrt(3)*(3-sqrt(5)))/6*10.

How to calculate Pyramidal Height of Great Dodecahedron?

With Edge Length of Great Dodecahedron (l_e) we can find Pyramidal Height of Great Dodecahedron using the formula - Pyramidal Height of Great Dodecahedron = (sqrt(3)*(3-sqrt(5)))/6*Edge Length of Great Dodecahedron. This formula also uses Square Root (sqrt) function(s).

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

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

Pyramidal Height of Great Dodecahedron=(sqrt(3)*(3-sqrt(5)))/6*(2*Ridge Length of Great Dodecahedron)/(sqrt(5)-1)
Pyramidal Height of Great Dodecahedron=(sqrt(3)*(3-sqrt(5)))/6*(4*Circumsphere Radius of Great Dodecahedron)/sqrt(10+(2*sqrt(5)))
Pyramidal Height of Great Dodecahedron=(sqrt(3)*(3-sqrt(5)))/6*sqrt(Total Surface Area of Great Dodecahedron/(15*sqrt(5-(2*sqrt(5)))))

Can the Pyramidal Height of Great Dodecahedron be negative?

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

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

Pyramidal Height of Great Dodecahedron 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 Dodecahedron can be measured.

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