FormulaDen.com

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

Ridge Length of Great Dodecahedron given Pyramidal Height Formula

GoRidge Length of Great Dodecahedron Formula

GoRidge Length of Great Dodecahedron given Circumsphere Radius Formula

Fx Copy

LaTeX Copy

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. Check FAQs

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

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

Ridge Length of Great Dodecahedron given Pyramidal Height Example

With values

With units

Only example

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

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

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

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

5.605m = \frac{\sqrt{5} - 1}{2} \cdot \frac{6 \cdot 2m}{\sqrt{3} \cdot (3 - \sqrt{5})}

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

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 Ridge Length of Great Dodecahedron given Pyramidal Height

Ridge Length of Great Dodecahedron given Pyramidal Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

l Ridge = 5.6050341537763m

LAST Step Rounding Answer

∴

l Ridge = 5.605m

Ridge Length of Great Dodecahedron given Pyramidal Height Formula Elements

Variables

Functions

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

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

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 Ridge Length of Great Dodecahedron

Go Ridge Length of Great Dodecahedron

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

Go Ridge Length of Great Dodecahedron given Circumsphere Radius

l Ridge = \frac{\sqrt{5} - 1}{2} \cdot \frac{4 \cdot r c}{\sqrt{10 + (2 \cdot \sqrt{5})}}

Go Ridge Length of Great Dodecahedron given Total Surface Area

l Ridge = \frac{\sqrt{5} - 1}{2} \cdot \sqrt{\frac{TSA}{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}}

Go Ridge Length of Great Dodecahedron given Volume

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

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

Ridge Length of Great Dodecahedron given Pyramidal Height evaluator uses Ridge Length of Great Dodecahedron = (sqrt(5)-1)/2*(6*Pyramidal Height of Great Dodecahedron)/(sqrt(3)*(3-sqrt(5))) to evaluate the Ridge Length of Great Dodecahedron, Ridge Length of Great Dodecahedron given Pyramidal Height formula is defined as the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Dodecahedron, calculated using its pyramidal height. Ridge Length of Great Dodecahedron is denoted by l_Ridge symbol.

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

FAQs on Ridge Length of Great Dodecahedron given Pyramidal Height

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

The formula of Ridge Length of Great Dodecahedron given Pyramidal Height is expressed as Ridge Length of Great Dodecahedron = (sqrt(5)-1)/2*(6*Pyramidal Height of Great Dodecahedron)/(sqrt(3)*(3-sqrt(5))). Here is an example- 5.605034 = (sqrt(5)-1)/2*(6*2)/(sqrt(3)*(3-sqrt(5))).

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

With Pyramidal Height of Great Dodecahedron (h_Pyramid) we can find Ridge Length of Great Dodecahedron given Pyramidal Height using the formula - Ridge Length of Great Dodecahedron = (sqrt(5)-1)/2*(6*Pyramidal Height of Great Dodecahedron)/(sqrt(3)*(3-sqrt(5))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Ridge Length of Great Dodecahedron?

Here are the different ways to Calculate Ridge Length of Great Dodecahedron-

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

Can the Ridge Length of Great Dodecahedron given Pyramidal Height be negative?

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit