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Edge Length of Icosahedron given Lateral Surface Area Formula

GoEdge Length of Icosahedron given Surface to Volume Ratio Formula

GoEdge Length of Icosahedron given Circumsphere Radius 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{2 \cdot LSA}{9 \cdot \sqrt{3}}}

l_e - Edge Length of Icosahedron?LSA - Lateral Surface Area of Icosahedron?

Edge Length of Icosahedron given Lateral Surface Area Example

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

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

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

10.0037 = \sqrt{\frac{2 \cdot 780}{9 \cdot \sqrt{3}}}

10.0037m = \sqrt{\frac{2 \cdot 780m²}{9 \cdot \sqrt{3}}}

10.0037 = \sqrt{\frac{2 \cdot 780}{9 \cdot \sqrt{3}}}

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Edge Length of Icosahedron given Lateral Surface Area Solution

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

FIRST Step Consider the formula

l e = \sqrt{\frac{2 \cdot LSA}{9 \cdot \sqrt{3}}}

Next Step Substitute values of Variables

∴

l e = \sqrt{\frac{2 \cdot 780m²}{9 \cdot \sqrt{3}}}

Next Step Prepare to Evaluate

∴

l e = \sqrt{\frac{2 \cdot 780}{9 \cdot \sqrt{3}}}

Next Step Evaluate

∴

l e = 10.0037016478669m

LAST Step Rounding Answer

∴

l e = 10.0037m

Edge Length of Icosahedron given Lateral 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

Lateral Surface Area of Icosahedron

Lateral Surface Area of Icosahedron is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Icosahedron.

Symbol: LSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral 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 Surface to Volume Ratio

l e = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot R A/V}

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 Insphere Radius

l e = \frac{12 \cdot r i}{\sqrt{3} \cdot (3 + \sqrt{5})}

Go Edge Length of Icosahedron given Midsphere Radius

l e = \frac{4 \cdot r m}{1 + \sqrt{5}}

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

Edge Length of Icosahedron given Lateral Surface Area evaluator uses Edge Length of Icosahedron = sqrt((2*Lateral Surface Area of Icosahedron)/(9*sqrt(3))) to evaluate the Edge Length of Icosahedron, The Edge Length of Icosahedron given Lateral 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 lateral surface area of the Icosahedron. Edge Length of Icosahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Icosahedron given Lateral Surface Area

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

The formula of Edge Length of Icosahedron given Lateral Surface Area is expressed as Edge Length of Icosahedron = sqrt((2*Lateral Surface Area of Icosahedron)/(9*sqrt(3))). Here is an example- 10.0037 = sqrt((2*780)/(9*sqrt(3))).

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

With Lateral Surface Area of Icosahedron (LSA) we can find Edge Length of Icosahedron given Lateral Surface Area using the formula - Edge Length of Icosahedron = sqrt((2*Lateral Surface Area of Icosahedron)/(9*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=(12*sqrt(3))/((3+sqrt(5))*Surface to Volume Ratio of Icosahedron)
Edge Length of Icosahedron=(4*Circumsphere Radius of Icosahedron)/(sqrt(10+(2*sqrt(5))))
Edge Length of Icosahedron=(12*Insphere Radius of Icosahedron)/(sqrt(3)*(3+sqrt(5)))

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

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

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

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

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