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Edge Length of Dodecahedron given Volume Formula

GoEdge Length of Dodecahedron given Circumsphere Radius Formula

GoEdge Length of Dodecahedron given Insphere Radius Formula

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Edge Length of Dodecahedron is the length of any of the edges of a Dodecahedron or the distance between any pair of adjacent vertices of the Dodecahedron. Check FAQs

l e = {(\frac{4 \cdot V}{15 + (7 \cdot \sqrt{5})})}^{\frac{1}{3}}

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

Edge Length of Dodecahedron given Volume Example

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

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

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

10.016 = {(\frac{4 \cdot 7700}{15 + (7 \cdot \sqrt{5})})}^{\frac{1}{3}}

10.016m = {(\frac{4 \cdot 7700m³}{15 + (7 \cdot \sqrt{5})})}^{\frac{1}{3}}

10.016 = {(\frac{4 \cdot 7700}{15 + (7 \cdot \sqrt{5})})}^{\frac{1}{3}}

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Edge Length of Dodecahedron given Volume Solution

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

FIRST Step Consider the formula

l e = {(\frac{4 \cdot V}{15 + (7 \cdot \sqrt{5})})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

l e = {(\frac{4 \cdot 7700m³}{15 + (7 \cdot \sqrt{5})})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

l e = {(\frac{4 \cdot 7700}{15 + (7 \cdot \sqrt{5})})}^{\frac{1}{3}}

Next Step Evaluate

∴

l e = 10.0160169900652m

LAST Step Rounding Answer

∴

l e = 10.016m

Edge Length of Dodecahedron given Volume Formula Elements

Variables

Functions

Edge Length of Dodecahedron

Edge Length of Dodecahedron is the length of any of the edges of a Dodecahedron or the distance between any pair of adjacent vertices of the Dodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Dodecahedron

Volume of Dodecahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of 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 Dodecahedron

Go Edge Length of Dodecahedron given Circumsphere Radius

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

Go Edge Length of Dodecahedron given Insphere Radius

l e = \frac{2 \cdot r i}{\sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}}}

Go Edge Length of Dodecahedron given Total Surface Area

l e = \sqrt{\frac{TSA}{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

How to Evaluate Edge Length of Dodecahedron given Volume?

Edge Length of Dodecahedron given Volume evaluator uses Edge Length of Dodecahedron = ((4*Volume of Dodecahedron)/(15+(7*sqrt(5))))^(1/3) to evaluate the Edge Length of Dodecahedron, Edge Length of Dodecahedron given Volume formula is defined as the length of any of the edges of a Dodecahedron or the distance between any pair of adjacent vertices of the Dodecahedron, and calculated using the volume of the Dodecahedron. Edge Length of Dodecahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Dodecahedron given Volume

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

The formula of Edge Length of Dodecahedron given Volume is expressed as Edge Length of Dodecahedron = ((4*Volume of Dodecahedron)/(15+(7*sqrt(5))))^(1/3). Here is an example- 10.01602 = ((4*7700)/(15+(7*sqrt(5))))^(1/3).

How to calculate Edge Length of Dodecahedron given Volume?

With Volume of Dodecahedron (V) we can find Edge Length of Dodecahedron given Volume using the formula - Edge Length of Dodecahedron = ((4*Volume of Dodecahedron)/(15+(7*sqrt(5))))^(1/3). This formula also uses Square Root (sqrt) function(s).

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

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

Edge Length of Dodecahedron=(4*Circumsphere Radius of Dodecahedron)/(sqrt(3)*(1+sqrt(5)))
Edge Length of Dodecahedron=(2*Insphere Radius of Dodecahedron)/sqrt((25+(11*sqrt(5)))/10)
Edge Length of Dodecahedron=sqrt(Total Surface Area of Dodecahedron/(3*sqrt(25+(10*sqrt(5)))))

Can the Edge Length of Dodecahedron given Volume be negative?

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

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

Edge Length of 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 Dodecahedron given Volume can be measured.

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