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Lateral Surface Area of Icosahedron Formula

GoLateral Surface Area of Icosahedron given Total Surface Area Formula

GoLateral Surface Area of Icosahedron given Volume 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 {l e}^{2}

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

Lateral Surface Area of Icosahedron Example

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

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

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

779.4229 = 9 \cdot \frac{\sqrt{3}}{2} \cdot 10^{2}

779.4229m² = 9 \cdot \frac{\sqrt{3}}{2} \cdot {10m}^{2}

779.4229 = 9 \cdot \frac{\sqrt{3}}{2} \cdot 10^{2}

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Lateral Surface Area of Icosahedron Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

LSA = 9 \cdot \frac{\sqrt{3}}{2} \cdot {10m}^{2}

Next Step Prepare to Evaluate

∴

LSA = 9 \cdot \frac{\sqrt{3}}{2} \cdot 10^{2}

Next Step Evaluate

∴

LSA = 779.422863405995m²

LAST Step Rounding Answer

∴

LSA = 779.4229m²

Lateral Surface Area of Icosahedron Formula Elements

Variables

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

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

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 Volume

LSA = 9 \cdot \frac{\sqrt{3}}{2} \cdot {(\frac{\frac{12}{5} \cdot V}{3 + \sqrt{5}})}^{\frac{2}{3}}

Other formulas in Lateral Surface Area of Icosahedron category

Go Face Area of Icosahedron

A Face = \frac{\sqrt{3}}{4} \cdot {l e}^{2}

Go Face Area of Icosahedron given Circumsphere Radius

A Face = \frac{\sqrt{3}}{4} \cdot {(\frac{4 \cdot r c}{\sqrt{10 + (2 \cdot \sqrt{5})}})}^{2}

Go Face Area of Icosahedron given Total Surface Area

A Face = \frac{TSA}{20}

Go Total Surface Area of Icosahedron

TSA = 5 \cdot \sqrt{3} \cdot {l e}^{2}

How to Evaluate Lateral Surface Area of Icosahedron?

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

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

FAQs on Lateral Surface Area of Icosahedron

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

The formula of Lateral Surface Area of Icosahedron is expressed as Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*Edge Length of Icosahedron^2. Here is an example- 779.4229 = 9*sqrt(3)/2*10^2.

How to calculate Lateral Surface Area of Icosahedron?

With Edge Length of Icosahedron (l_e) we can find Lateral Surface Area of Icosahedron using the formula - Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*Edge Length of Icosahedron^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*((12/5*Volume of Icosahedron)/(3+sqrt(5)))^(2/3)

Can the Lateral Surface Area of Icosahedron be negative?

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

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

Lateral Surface Area of Icosahedron 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 can be measured.

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