FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Pyramidal Height of Great Dodecahedron given Ridge Length Formula

GoPyramidal Height of Great Dodecahedron Formula

GoPyramidal Height of Great Dodecahedron given Circumsphere Radius Formula

Fx Copy

LaTeX Copy

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 \frac{2 \cdot l Ridge}{\sqrt{5} - 1}

h_Pyramid - Pyramidal Height of Great Dodecahedron?l_Ridge - Ridge Length of Great Dodecahedron?

Pyramidal Height of Great Dodecahedron given Ridge Length Example

With values

With units

Only example

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

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

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

2.1409 = \frac{\sqrt{3} \cdot (3 - \sqrt{5})}{6} \cdot \frac{2 \cdot 6}{\sqrt{5} - 1}

2.1409m = \frac{\sqrt{3} \cdot (3 - \sqrt{5})}{6} \cdot \frac{2 \cdot 6m}{\sqrt{5} - 1}

2.1409 = \frac{\sqrt{3} \cdot (3 - \sqrt{5})}{6} \cdot \frac{2 \cdot 6}{\sqrt{5} - 1}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Pyramidal Height of Great Dodecahedron given Ridge Length

Pyramidal Height of Great Dodecahedron given Ridge Length Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

h Pyramid = 2.14093253863854m

LAST Step Rounding Answer

∴

h Pyramid = 2.1409m

Pyramidal Height of Great Dodecahedron given Ridge Length 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

Ridge Length of Great Dodecahedron

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

Symbol: l_Ridge

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Ridge 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

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

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 given Ridge Length?

Pyramidal Height of Great Dodecahedron given Ridge Length evaluator uses Pyramidal Height of Great Dodecahedron = (sqrt(3)*(3-sqrt(5)))/6*(2*Ridge Length of Great Dodecahedron)/(sqrt(5)-1) to evaluate the Pyramidal Height of Great Dodecahedron, Pyramidal Height of Great Dodecahedron given Ridge Length formula is defined as the height of any of the inwards directed tetrahedral pyramids of the Great Dodecahedron, calculated using its ridge length. Pyramidal Height of Great Dodecahedron is denoted by h_Pyramid symbol.

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

FAQs on Pyramidal Height of Great Dodecahedron given Ridge Length

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

The formula of Pyramidal Height of Great Dodecahedron given Ridge Length is expressed as Pyramidal Height of Great Dodecahedron = (sqrt(3)*(3-sqrt(5)))/6*(2*Ridge Length of Great Dodecahedron)/(sqrt(5)-1). Here is an example- 2.140933 = (sqrt(3)*(3-sqrt(5)))/6*(2*6)/(sqrt(5)-1).

How to calculate Pyramidal Height of Great Dodecahedron given Ridge Length?

With Ridge Length of Great Dodecahedron (l_Ridge) we can find Pyramidal Height of Great Dodecahedron given Ridge Length using the formula - Pyramidal Height of Great Dodecahedron = (sqrt(3)*(3-sqrt(5)))/6*(2*Ridge Length of Great Dodecahedron)/(sqrt(5)-1). 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*Edge Length of Great Dodecahedron
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 given Ridge Length be negative?

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

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

Pyramidal Height of Great Dodecahedron given Ridge Length 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 given Ridge Length can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit