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Edge Length of Dodecahedron given Face Area Formula

GoEdge Length of Dodecahedron given Circumsphere Radius Formula

GoEdge Length of Dodecahedron given Total Surface Area 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 = \sqrt{\frac{4 \cdot A Face}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

l_e - Edge Length of Dodecahedron?A_Face - Face Area of Dodecahedron?

Edge Length of Dodecahedron given Face Area Example

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

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

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

10.0854 = \sqrt{\frac{4 \cdot 175}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

10.0854m = \sqrt{\frac{4 \cdot 175m²}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

10.0854 = \sqrt{\frac{4 \cdot 175}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

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Edge Length of Dodecahedron given Face Area Solution

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

FIRST Step Consider the formula

l e = \sqrt{\frac{4 \cdot A Face}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

Next Step Substitute values of Variables

∴

l e = \sqrt{\frac{4 \cdot 175m²}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

Next Step Prepare to Evaluate

∴

l e = \sqrt{\frac{4 \cdot 175}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

Next Step Evaluate

∴

l e = 10.0854327582286m

LAST Step Rounding Answer

∴

l e = 10.0854m

Edge Length of Dodecahedron given Face Area 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

Face Area of Dodecahedron

The Face Area of Dodecahedron is the amount of space occupied by any one of the 12 faces of Dodecahedron.

Symbol: A_Face

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Face Area 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 Total Surface Area

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

Go Edge Length of Dodecahedron given Volume

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

Go Edge Length of Dodecahedron given Insphere Radius

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

How to Evaluate Edge Length of Dodecahedron given Face Area?

Edge Length of Dodecahedron given Face Area evaluator uses Edge Length of Dodecahedron = sqrt((4*Face Area of Dodecahedron)/sqrt(25+(10*sqrt(5)))) to evaluate the Edge Length of Dodecahedron, The Edge Length of Dodecahedron given Face Area 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 face area of Dodecahedron. Edge Length of Dodecahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Dodecahedron given Face Area

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

The formula of Edge Length of Dodecahedron given Face Area is expressed as Edge Length of Dodecahedron = sqrt((4*Face Area of Dodecahedron)/sqrt(25+(10*sqrt(5)))). Here is an example- 10.08543 = sqrt((4*175)/sqrt(25+(10*sqrt(5)))).

How to calculate Edge Length of Dodecahedron given Face Area?

With Face Area of Dodecahedron (A_Face) we can find Edge Length of Dodecahedron given Face Area using the formula - Edge Length of Dodecahedron = sqrt((4*Face Area of Dodecahedron)/sqrt(25+(10*sqrt(5)))). 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=sqrt(Total Surface Area of Dodecahedron/(3*sqrt(25+(10*sqrt(5)))))
Edge Length of Dodecahedron=((4*Volume of Dodecahedron)/(15+(7*sqrt(5))))^(1/3)

Can the Edge Length of Dodecahedron given Face Area be negative?

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

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

Edge Length of Dodecahedron given Face Area 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 Face Area can be measured.

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