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Edge Length of Great Dodecahedron given Total Surface Area Formula

GoEdge Length of Great Dodecahedron given Ridge Length Formula

GoEdge Length of Great Dodecahedron given Circumsphere Radius Formula

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

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

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

Edge Length of Great Dodecahedron given Total Surface Area Example

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

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

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

10.0466 = \sqrt{\frac{1100}{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}}

10.0466m = \sqrt{\frac{1100m²}{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}}

10.0466 = \sqrt{\frac{1100}{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}}

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Edge Length of Great Dodecahedron given Total Surface Area Solution

Follow our step by step solution on how to calculate Edge Length of Great 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{1100m²}{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}}

Next Step Prepare to Evaluate

∴

l e = \sqrt{\frac{1100}{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}}

Next Step Evaluate

∴

l e = 10.0466250137987m

LAST Step Rounding Answer

∴

l e = 10.0466m

Edge Length of Great Dodecahedron given Total Surface Area Formula Elements

Variables

Functions

Edge Length of Great Dodecahedron

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

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Great Dodecahedron

Total Surface Area of Great Dodecahedron

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Great 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 Dodecahedron

Go Edge Length of Great Dodecahedron given Ridge Length

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

Go Edge Length of Great Dodecahedron given Circumsphere Radius

l e = \frac{4 \cdot r c}{\sqrt{10 + (2 \cdot \sqrt{5})}}

Go Edge Length of Great Dodecahedron given Pyramidal Height

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

Go Edge Length of Great Dodecahedron given Volume

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

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

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

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

FAQs on Edge Length of Great Dodecahedron given Total Surface Area

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

The formula of Edge Length of Great Dodecahedron given Total Surface Area is expressed as Edge Length of Great Dodecahedron = sqrt(Total Surface Area of Great Dodecahedron/(15*sqrt(5-(2*sqrt(5))))). Here is an example- 10.04663 = sqrt(1100/(15*sqrt(5-(2*sqrt(5))))).

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

With Total Surface Area of Great Dodecahedron (TSA) we can find Edge Length of Great Dodecahedron given Total Surface Area using the formula - Edge Length of Great Dodecahedron = sqrt(Total Surface Area of Great 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 Dodecahedron?

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

Edge Length of Great Dodecahedron=(2*Ridge Length of Great Dodecahedron)/(sqrt(5)-1)
Edge Length of Great Dodecahedron=(4*Circumsphere Radius of Great Dodecahedron)/sqrt(10+(2*sqrt(5)))
Edge Length of Great Dodecahedron=(6*Pyramidal Height of Great Dodecahedron)/(sqrt(3)*(3-sqrt(5)))

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

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

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

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

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