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Ridge Length of Great Dodecahedron given Volume Formula

GoRidge Length of Great Dodecahedron Formula

GoRidge Length of Great Dodecahedron given Circumsphere Radius Formula

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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{4 \cdot V}{5 \cdot (\sqrt{5} - 1)})}^{\frac{1}{3}}

l_Ridge - Ridge Length of Great Dodecahedron?V - Volume of Great Dodecahedron?

Ridge Length of Great Dodecahedron given Volume Example

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

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

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

6.1869 = \frac{\sqrt{5} - 1}{2} \cdot {(\frac{4 \cdot 1550}{5 \cdot (\sqrt{5} - 1)})}^{\frac{1}{3}}

6.1869m = \frac{\sqrt{5} - 1}{2} \cdot {(\frac{4 \cdot 1550m³}{5 \cdot (\sqrt{5} - 1)})}^{\frac{1}{3}}

6.1869 = \frac{\sqrt{5} - 1}{2} \cdot {(\frac{4 \cdot 1550}{5 \cdot (\sqrt{5} - 1)})}^{\frac{1}{3}}

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Ridge Length of Great Dodecahedron given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l Ridge = \frac{\sqrt{5} - 1}{2} \cdot {(\frac{4 \cdot 1550m³}{5 \cdot (\sqrt{5} - 1)})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

l Ridge = \frac{\sqrt{5} - 1}{2} \cdot {(\frac{4 \cdot 1550}{5 \cdot (\sqrt{5} - 1)})}^{\frac{1}{3}}

Next Step Evaluate

∴

l Ridge = 6.18688632167015m

LAST Step Rounding Answer

∴

l Ridge = 6.1869m

Ridge Length of Great Dodecahedron given Volume 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

Volume of Great Dodecahedron

Volume of Great Dodecahedron is the total quantity of three dimensional space enclosed by the surface of the Great Dodecahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Pyramidal Height

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

How to Evaluate Ridge Length of Great Dodecahedron given Volume?

Ridge Length of Great Dodecahedron given Volume evaluator uses Ridge Length of Great Dodecahedron = (sqrt(5)-1)/2*((4*Volume of Great Dodecahedron)/(5*(sqrt(5)-1)))^(1/3) to evaluate the Ridge Length of Great Dodecahedron, Ridge Length of Great Dodecahedron given Volume 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 volume. Ridge Length of Great Dodecahedron is denoted by l_Ridge symbol.

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

FAQs on Ridge Length of Great Dodecahedron given Volume

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

The formula of Ridge Length of Great Dodecahedron given Volume is expressed as Ridge Length of Great Dodecahedron = (sqrt(5)-1)/2*((4*Volume of Great Dodecahedron)/(5*(sqrt(5)-1)))^(1/3). Here is an example- 6.186886 = (sqrt(5)-1)/2*((4*1550)/(5*(sqrt(5)-1)))^(1/3).

How to calculate Ridge Length of Great Dodecahedron given Volume?

With Volume of Great Dodecahedron (V) we can find Ridge Length of Great Dodecahedron given Volume using the formula - Ridge Length of Great Dodecahedron = (sqrt(5)-1)/2*((4*Volume of Great Dodecahedron)/(5*(sqrt(5)-1)))^(1/3). This formula also uses Square Root Function 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*(6*Pyramidal Height of Great Dodecahedron)/(sqrt(3)*(3-sqrt(5)))

Can the Ridge Length of Great Dodecahedron given Volume be negative?

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

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

Ridge Length of Great Dodecahedron given Volume 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 Volume can be measured.

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