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Edge Length of Great Stellated Dodecahedron given Total Surface Area 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 = \sqrt{\frac{TSA}{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

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

Edge Length of Great Stellated Dodecahedron given Total Surface Area Example

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

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

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

9.9821 = \sqrt{\frac{4600}{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

9.9821m = \sqrt{\frac{4600m²}{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

9.9821 = \sqrt{\frac{4600}{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

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Edge Length of Great Stellated Dodecahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

l e = \sqrt{\frac{TSA}{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

Next Step Substitute values of Variables

∴

l e = \sqrt{\frac{4600m²}{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

Next Step Prepare to Evaluate

∴

l e = \sqrt{\frac{4600}{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

Next Step Evaluate

∴

l e = 9.98208596326896m

LAST Step Rounding Answer

∴

l e = 9.9821m

Edge Length of Great Stellated Dodecahedron given Total Surface Area 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

Total Surface Area of Great Stellated Dodecahedron

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 Total Surface Area?

Edge Length of Great Stellated Dodecahedron given Total Surface Area evaluator uses Edge Length of Great Stellated Dodecahedron = sqrt(Total Surface Area of Great Stellated Dodecahedron/(15*sqrt(5+(2*sqrt(5))))) to evaluate the Edge Length of Great Stellated Dodecahedron, Edge Length of Great Stellated Dodecahedron given Total Surface Area formula is defined as the distance between any pair of adjacent peak vertices of the Great Stellated Dodecahedron, calculated using its total surface area. Edge Length of Great Stellated Dodecahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Great Stellated Dodecahedron given Total Surface Area

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

The formula of Edge Length of Great Stellated Dodecahedron given Total Surface Area is expressed as Edge Length of Great Stellated Dodecahedron = sqrt(Total Surface Area of Great Stellated Dodecahedron/(15*sqrt(5+(2*sqrt(5))))). Here is an example- 9.982086 = sqrt(4600/(15*sqrt(5+(2*sqrt(5))))).

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

With Total Surface Area of Great Stellated Dodecahedron (TSA) we can find Edge Length of Great Stellated Dodecahedron given Total Surface Area using the formula - Edge Length of Great Stellated Dodecahedron = sqrt(Total Surface Area of Great Stellated Dodecahedron/(15*sqrt(5+(2*sqrt(5))))). 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 Total Surface Area be negative?

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

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

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

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