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Edge Length of Truncated Dodecahedron given Total Surface Area Formula

GoEdge Length of Truncated Dodecahedron given Dodecahedral Edge Length Formula

GoEdge Length of Truncated Dodecahedron given Volume Formula

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Edge Length of Truncated Dodecahedron is the length of any edge of the Truncated Dodecahedron. Check FAQs

l e = \sqrt{\frac{TSA}{5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}}

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

Edge Length of Truncated Dodecahedron given Total Surface Area Example

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

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

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

9.9508 = \sqrt{\frac{10000}{5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}}

9.9508m = \sqrt{\frac{10000m²}{5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}}

9.9508 = \sqrt{\frac{10000}{5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}}

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Edge Length of Truncated Dodecahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

l e = \sqrt{\frac{TSA}{5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}}

Next Step Substitute values of Variables

∴

l e = \sqrt{\frac{10000m²}{5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}}

Next Step Prepare to Evaluate

∴

l e = \sqrt{\frac{10000}{5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}}

Next Step Evaluate

∴

l e = 9.95082708141515m

LAST Step Rounding Answer

∴

l e = 9.9508m

Edge Length of Truncated Dodecahedron given Total Surface Area Formula Elements

Variables

Functions

Edge Length of Truncated Dodecahedron

Edge Length of Truncated Dodecahedron is the length of any edge of the Truncated Dodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Truncated Dodecahedron

Total Surface Area of Truncated Dodecahedron

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Truncated 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 Truncated Dodecahedron

Go Edge Length of Truncated Dodecahedron given Dodecahedral Edge Length

l e = \frac{l e(Dodecahedron)}{\sqrt{5}}

Go Edge Length of Truncated Dodecahedron given Volume

l e = {(\frac{12 \cdot V}{5 \cdot (99 + (47 \cdot \sqrt{5}))})}^{\frac{1}{3}}

Go Edge Length of Truncated Dodecahedron given Circumsphere Radius

l e = \frac{4 \cdot r c}{\sqrt{74 + (30 \cdot \sqrt{5})}}

Go Edge Length of Truncated Dodecahedron given Midsphere Radius

l e = \frac{4 \cdot r m}{5 + (3 \cdot \sqrt{5})}

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

Edge Length of Truncated Dodecahedron given Total Surface Area evaluator uses Edge Length of Truncated Dodecahedron = sqrt(Total Surface Area of Truncated Dodecahedron/(5*(sqrt(3)+(6*sqrt(5+(2*sqrt(5))))))) to evaluate the Edge Length of Truncated Dodecahedron, Edge Length of Truncated Dodecahedron given Total Surface Area formula is defined as the length of any edge of the Truncated Dodecahedron, and calculated using the total surface area of the Truncated Dodecahedron. Edge Length of Truncated Dodecahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Truncated Dodecahedron given Total Surface Area

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

The formula of Edge Length of Truncated Dodecahedron given Total Surface Area is expressed as Edge Length of Truncated Dodecahedron = sqrt(Total Surface Area of Truncated Dodecahedron/(5*(sqrt(3)+(6*sqrt(5+(2*sqrt(5))))))). Here is an example- 9.950827 = sqrt(10000/(5*(sqrt(3)+(6*sqrt(5+(2*sqrt(5))))))).

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

With Total Surface Area of Truncated Dodecahedron (TSA) we can find Edge Length of Truncated Dodecahedron given Total Surface Area using the formula - Edge Length of Truncated Dodecahedron = sqrt(Total Surface Area of Truncated Dodecahedron/(5*(sqrt(3)+(6*sqrt(5+(2*sqrt(5))))))). This formula also uses Square Root (sqrt) function(s).

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

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

Edge Length of Truncated Dodecahedron=Dodecahedral Edge Length of Truncated Dodecahedron/sqrt(5)
Edge Length of Truncated Dodecahedron=((12*Volume of Truncated Dodecahedron)/(5*(99+(47*sqrt(5)))))^(1/3)
Edge Length of Truncated Dodecahedron=(4*Circumsphere Radius of Truncated Dodecahedron)/(sqrt(74+(30*sqrt(5))))

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

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

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

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

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