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Edge Length of Great Stellated Dodecahedron given Volume Formula

GoEdge Length of Great Stellated Dodecahedron given Ridge Length Formula

GoEdge Length of Great Stellated Dodecahedron given Pentagram Chord Formula

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

l e = {(\frac{4 \cdot V}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

l_e - Edge Length of Great Stellated Dodecahedron?V - Volume of Great Stellated Dodecahedron?

Edge Length of Great Stellated Dodecahedron given Volume Example

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

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

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

10.0025 = {(\frac{4 \cdot 6550}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

10.0025m = {(\frac{4 \cdot 6550m³}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

10.0025 = {(\frac{4 \cdot 6550}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

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Edge Length of Great Stellated Dodecahedron given Volume Solution

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

FIRST Step Consider the formula

l e = {(\frac{4 \cdot V}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

l e = {(\frac{4 \cdot 6550m³}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

l e = {(\frac{4 \cdot 6550}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

Next Step Evaluate

∴

l e = 10.0025025385954m

LAST Step Rounding Answer

∴

l e = 10.0025m

Edge Length of Great Stellated Dodecahedron given Volume Formula Elements

Variables

Functions

Edge Length of Great Stellated Dodecahedron

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

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Great Stellated Dodecahedron

Volume of Great Stellated Dodecahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Great Stellated 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 Edge Length of Great Stellated Dodecahedron

Go Edge Length of Great Stellated Dodecahedron given Ridge Length

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

Go Edge Length of Great Stellated Dodecahedron given Pentagram Chord

l e = \frac{l c(Pentagram)}{2 + \sqrt{5}}

Go Edge Length of Great Stellated Dodecahedron given Circumradius

l e = \frac{4 \cdot r c}{\sqrt{3} \cdot (3 + \sqrt{5})}

Go Edge Length of Great Stellated Dodecahedron given Pyramidal Height

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

How to Evaluate Edge Length of Great Stellated Dodecahedron given Volume?

Edge Length of Great Stellated Dodecahedron given Volume evaluator uses Edge Length of Great Stellated Dodecahedron = ((4*Volume of Great Stellated Dodecahedron)/(5*(3+sqrt(5))))^(1/3) to evaluate the Edge Length of Great Stellated Dodecahedron, Edge Length of Great Stellated Dodecahedron given Volume formula is defined as the distance between any pair of adjacent peak vertices of the Great Stellated Dodecahedron, calculated using its volume. Edge Length of Great Stellated Dodecahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Great Stellated Dodecahedron given Volume

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

The formula of Edge Length of Great Stellated Dodecahedron given Volume is expressed as Edge Length of Great Stellated Dodecahedron = ((4*Volume of Great Stellated Dodecahedron)/(5*(3+sqrt(5))))^(1/3). Here is an example- 10.0025 = ((4*6550)/(5*(3+sqrt(5))))^(1/3).

How to calculate Edge Length of Great Stellated Dodecahedron given Volume?

With Volume of Great Stellated Dodecahedron (V) we can find Edge Length of Great Stellated Dodecahedron given Volume using the formula - Edge Length of Great Stellated Dodecahedron = ((4*Volume of Great Stellated Dodecahedron)/(5*(3+sqrt(5))))^(1/3). This formula also uses Square Root (sqrt) function(s).

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

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

Edge Length of Great Stellated Dodecahedron=(2*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5))
Edge Length of Great Stellated Dodecahedron=Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5))
Edge Length of Great Stellated Dodecahedron=(4*Circumradius of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))

Can the Edge Length of Great Stellated Dodecahedron given Volume be negative?

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

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

Edge Length of Great Stellated 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 Edge Length of Great Stellated Dodecahedron given Volume can be measured.

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