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Lateral Surface Area of Icosahedron given Midsphere Radius Formula

GoLateral Surface Area of Icosahedron given Total Surface Area Formula

GoLateral Surface Area of Icosahedron given Face Perimeter Formula

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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. Check FAQs

LSA = 9 \cdot \frac{\sqrt{3}}{2} \cdot {(\frac{4 \cdot r m}{1 + \sqrt{5}})}^{2}

LSA - Lateral Surface Area of Icosahedron?r_m - Midsphere Radius of Icosahedron?

Lateral Surface Area of Icosahedron given Midsphere Radius Example

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

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

Here is how the Lateral Surface Area of Icosahedron given Midsphere Radius equation looks like.

762.1454 = 9 \cdot \frac{\sqrt{3}}{2} \cdot {(\frac{4 \cdot 8}{1 + \sqrt{5}})}^{2}

762.1454m² = 9 \cdot \frac{\sqrt{3}}{2} \cdot {(\frac{4 \cdot 8m}{1 + \sqrt{5}})}^{2}

762.1454 = 9 \cdot \frac{\sqrt{3}}{2} \cdot {(\frac{4 \cdot 8}{1 + \sqrt{5}})}^{2}

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Lateral Surface Area of Icosahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

LSA = 9 \cdot \frac{\sqrt{3}}{2} \cdot {(\frac{4 \cdot r m}{1 + \sqrt{5}})}^{2}

Next Step Substitute values of Variables

∴

LSA = 9 \cdot \frac{\sqrt{3}}{2} \cdot {(\frac{4 \cdot 8m}{1 + \sqrt{5}})}^{2}

Next Step Prepare to Evaluate

∴

LSA = 9 \cdot \frac{\sqrt{3}}{2} \cdot {(\frac{4 \cdot 8}{1 + \sqrt{5}})}^{2}

Next Step Evaluate

∴

LSA = 762.145388063548m²

LAST Step Rounding Answer

∴

LSA = 762.1454m²

Lateral Surface Area of Icosahedron given Midsphere Radius Formula Elements

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Functions

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

Midsphere Radius of Icosahedron

The Midsphere Radius of Icosahedron is defined as radius of the sphere for which all the edges of the Icosahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius 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 Lateral Surface Area of Icosahedron

Go Lateral Surface Area of Icosahedron given Total Surface Area

LSA = \frac{9}{10} \cdot TSA

Go Lateral Surface Area of Icosahedron given Face Perimeter

LSA = 9 \cdot \frac{\sqrt{3}}{2} \cdot {(\frac{P Face}{3})}^{2}

Go Lateral Surface Area of Icosahedron given Face Area

LSA = 18 \cdot A Face

Go Lateral Surface Area of Icosahedron

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

How to Evaluate Lateral Surface Area of Icosahedron given Midsphere Radius?

Lateral Surface Area of Icosahedron given Midsphere Radius evaluator uses Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*((4*Midsphere Radius of Icosahedron)/(1+sqrt(5)))^2 to evaluate the Lateral Surface Area of Icosahedron, The Lateral Surface Area of Icosahedron given Midsphere Radius formula is defined as the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Icosahedron and is calculated using the midsphere radius of the Icosahedron. Lateral Surface Area of Icosahedron is denoted by LSA symbol.

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

FAQs on Lateral Surface Area of Icosahedron given Midsphere Radius

What is the formula to find Lateral Surface Area of Icosahedron given Midsphere Radius?

The formula of Lateral Surface Area of Icosahedron given Midsphere Radius is expressed as Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*((4*Midsphere Radius of Icosahedron)/(1+sqrt(5)))^2. Here is an example- 762.1454 = 9*sqrt(3)/2*((4*8)/(1+sqrt(5)))^2.

How to calculate Lateral Surface Area of Icosahedron given Midsphere Radius?

With Midsphere Radius of Icosahedron (r_m) we can find Lateral Surface Area of Icosahedron given Midsphere Radius using the formula - Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*((4*Midsphere Radius of Icosahedron)/(1+sqrt(5)))^2. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Lateral Surface Area of Icosahedron?

Here are the different ways to Calculate Lateral Surface Area of Icosahedron-

Lateral Surface Area of Icosahedron=9/10*Total Surface Area of Icosahedron
Lateral Surface Area of Icosahedron=9*sqrt(3)/2*(Face Perimeter of Icosahedron/3)^2
Lateral Surface Area of Icosahedron=18*Face Area of Icosahedron

Can the Lateral Surface Area of Icosahedron given Midsphere Radius be negative?

No, the Lateral Surface Area of Icosahedron given Midsphere Radius, measured in Area cannot be negative.

Which unit is used to measure Lateral Surface Area of Icosahedron given Midsphere Radius?

Lateral Surface Area of Icosahedron given Midsphere Radius is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Lateral Surface Area of Icosahedron given Midsphere Radius can be measured.

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