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Edge Length of Dodecahedron given Total Surface Area 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 = \sqrt{\frac{TSA}{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

l_e - Edge Length of Dodecahedron?TSA - Total Surface Area of Dodecahedron?

Edge Length of Dodecahedron given Total Surface Area Example

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

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

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

10.0854 = \sqrt{\frac{2100}{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

10.0854m = \sqrt{\frac{2100m²}{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

10.0854 = \sqrt{\frac{2100}{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

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Edge Length of Dodecahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = \sqrt{\frac{2100m²}{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

Next Step Prepare to Evaluate

∴

l e = \sqrt{\frac{2100}{3 \cdot \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 Total Surface 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

Total Surface Area of Dodecahedron

Total Surface Area of Dodecahedron is the total quantity of plane enclosed by the entire surface of the Dodecahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface 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 Insphere Radius

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

Go Edge Length of Dodecahedron given Volume

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

How to Evaluate Edge Length of Dodecahedron given Total Surface Area?

Edge Length of Dodecahedron given Total Surface Area evaluator uses Edge Length of Dodecahedron = sqrt(Total Surface Area of Dodecahedron/(3*sqrt(25+(10*sqrt(5))))) to evaluate the Edge Length of Dodecahedron, Edge Length of Dodecahedron given Total Surface 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 the total surface area of the Dodecahedron. Edge Length of Dodecahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Dodecahedron given Total Surface Area

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

The formula of Edge Length of Dodecahedron given Total Surface Area is expressed as Edge Length of Dodecahedron = sqrt(Total Surface Area of Dodecahedron/(3*sqrt(25+(10*sqrt(5))))). Here is an example- 10.08543 = sqrt(2100/(3*sqrt(25+(10*sqrt(5))))).

How to calculate Edge Length of Dodecahedron given Total Surface Area?

With Total Surface Area of Dodecahedron (TSA) we can find Edge Length of Dodecahedron given Total Surface Area using the formula - Edge Length of Dodecahedron = sqrt(Total Surface Area of Dodecahedron/(3*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=(2*Insphere Radius of Dodecahedron)/sqrt((25+(11*sqrt(5)))/10)
Edge Length of Dodecahedron=((4*Volume of Dodecahedron)/(15+(7*sqrt(5))))^(1/3)

Can the Edge Length of Dodecahedron given Total Surface Area be negative?

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

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

Edge Length of Dodecahedron given Total Surface 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 Total Surface Area can be measured.

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