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Edge Length of Elongated Dodecahedron given Total Surface Area Formula

GoEdge Length of Elongated Dodecahedron given Width Formula

GoEdge Length of Elongated Dodecahedron given Height Formula

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

l e = \sqrt{\frac{TSA}{2 \cdot \sqrt{3} \cdot (3 + \sqrt{5})}}

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

Edge Length of Elongated Dodecahedron given Total Surface Area Example

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

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

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

9.9618 = \sqrt{\frac{1800}{2 \cdot \sqrt{3} \cdot (3 + \sqrt{5})}}

9.9618m = \sqrt{\frac{1800m²}{2 \cdot \sqrt{3} \cdot (3 + \sqrt{5})}}

9.9618 = \sqrt{\frac{1800}{2 \cdot \sqrt{3} \cdot (3 + \sqrt{5})}}

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Edge Length of Elongated Dodecahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

l e = \sqrt{\frac{TSA}{2 \cdot \sqrt{3} \cdot (3 + \sqrt{5})}}

Next Step Substitute values of Variables

∴

l e = \sqrt{\frac{1800m²}{2 \cdot \sqrt{3} \cdot (3 + \sqrt{5})}}

Next Step Prepare to Evaluate

∴

l e = \sqrt{\frac{1800}{2 \cdot \sqrt{3} \cdot (3 + \sqrt{5})}}

Next Step Evaluate

∴

l e = 9.96181111733409m

LAST Step Rounding Answer

∴

l e = 9.9618m

Edge Length of Elongated Dodecahedron given Total Surface Area Formula Elements

Variables

Functions

Edge Length of Elongated Dodecahedron

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

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Elongated Dodecahedron

Total Surface Area of Elongated Dodecahedron

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Elongated 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 Elongated Dodecahedron

Go Edge Length of Elongated Dodecahedron given Width

l e = \frac{w}{3}

Go Edge Length of Elongated Dodecahedron given Height

l e = \frac{h}{\sqrt{3}}

Go Edge Length of Elongated Dodecahedron given Volume

l e = {(\frac{V}{6})}^{\frac{1}{3}}

Go Edge Length of Elongated Dodecahedron given Surface to Volume Ratio

l e = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{3 \cdot R A/V}

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

Edge Length of Elongated Dodecahedron given Total Surface Area evaluator uses Edge Length of Elongated Dodecahedron = sqrt(Total Surface Area of Elongated Dodecahedron/(2*sqrt(3)*(3+sqrt(5)))) to evaluate the Edge Length of Elongated Dodecahedron, Edge Length of Elongated Dodecahedron given Total Surface Area formula is defined as the distance between any pair of adjacent peak vertices of the Elongated Dodecahedron, calculated using total surface area. Edge Length of Elongated Dodecahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Elongated Dodecahedron given Total Surface Area

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

The formula of Edge Length of Elongated Dodecahedron given Total Surface Area is expressed as Edge Length of Elongated Dodecahedron = sqrt(Total Surface Area of Elongated Dodecahedron/(2*sqrt(3)*(3+sqrt(5)))). Here is an example- 9.961811 = sqrt(1800/(2*sqrt(3)*(3+sqrt(5)))).

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

With Total Surface Area of Elongated Dodecahedron (TSA) we can find Edge Length of Elongated Dodecahedron given Total Surface Area using the formula - Edge Length of Elongated Dodecahedron = sqrt(Total Surface Area of Elongated Dodecahedron/(2*sqrt(3)*(3+sqrt(5)))). This formula also uses Square Root (sqrt) function(s).

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

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

Edge Length of Elongated Dodecahedron=Width of Elongated Dodecahedron/3
Edge Length of Elongated Dodecahedron=Height of Elongated Dodecahedron/sqrt(3)
Edge Length of Elongated Dodecahedron=(Volume of Elongated Dodecahedron/6)^(1/3)

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

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

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

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

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