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Edge Length of Icosahedron given Total Surface Area Formula

GoEdge Length of Icosahedron given Circumsphere Radius Formula

GoEdge Length of Icosahedron given Face Perimeter Formula

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Edge Length of Icosahedron is the length of any of edges of the Icosahedron or the distance between any pair of adjacent vertices of the Icosahedron. Check FAQs

l e = \sqrt{\frac{TSA}{5 \cdot \sqrt{3}}}

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

Edge Length of Icosahedron given Total Surface Area Example

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

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

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

10.0229 = \sqrt{\frac{870}{5 \cdot \sqrt{3}}}

10.0229m = \sqrt{\frac{870m²}{5 \cdot \sqrt{3}}}

10.0229 = \sqrt{\frac{870}{5 \cdot \sqrt{3}}}

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Edge Length of Icosahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

l e = \sqrt{\frac{TSA}{5 \cdot \sqrt{3}}}

Next Step Substitute values of Variables

∴

l e = \sqrt{\frac{870m²}{5 \cdot \sqrt{3}}}

Next Step Prepare to Evaluate

∴

l e = \sqrt{\frac{870}{5 \cdot \sqrt{3}}}

Next Step Evaluate

∴

l e = 10.02292107317m

LAST Step Rounding Answer

∴

l e = 10.0229m

Edge Length of Icosahedron given Total Surface Area Formula Elements

Variables

Functions

Edge Length of Icosahedron

Edge Length of Icosahedron is the length of any of edges of the Icosahedron or the distance between any pair of adjacent vertices of the Icosahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Icosahedron

Total Surface Area of Icosahedron

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Icosahedron

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 Icosahedron

Go Edge Length of Icosahedron given Circumsphere Radius

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

Go Edge Length of Icosahedron given Face Perimeter

l e = \frac{P Face}{3}

Go Edge Length of Icosahedron given Volume

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

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

Edge Length of Icosahedron given Total Surface Area evaluator uses Edge Length of Icosahedron = sqrt(Total Surface Area of Icosahedron/(5*sqrt(3))) to evaluate the Edge Length of Icosahedron, The Edge Length of Icosahedron given Total Surface Area formula is defined as the length of any of the edges of the Icosahedron or the distance between any pair of adjacent vertices of the Icosahedron and is calculated using the total surface area of the Icosahedron. Edge Length of Icosahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Icosahedron given Total Surface Area

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

The formula of Edge Length of Icosahedron given Total Surface Area is expressed as Edge Length of Icosahedron = sqrt(Total Surface Area of Icosahedron/(5*sqrt(3))). Here is an example- 10.02292 = sqrt(870/(5*sqrt(3))).

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

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

What are the other ways to Calculate Edge Length of Icosahedron?

Here are the different ways to Calculate Edge Length of Icosahedron-

Edge Length of Icosahedron=(4*Circumsphere Radius of Icosahedron)/(sqrt(10+(2*sqrt(5))))
Edge Length of Icosahedron=Face Perimeter of Icosahedron/3
Edge Length of Icosahedron=((12/5*Volume of Icosahedron)/(3+sqrt(5)))^(1/3)

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

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

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

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

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