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Lateral Surface Area of Icosahedron given Total Surface Area and Edge Length 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 = TSA - \frac{\sqrt{3}}{2} \cdot {l e}^{2}

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

Lateral Surface Area of Icosahedron given Total Surface Area and Edge Length Example

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

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

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

783.3975 = 870 - \frac{\sqrt{3}}{2} \cdot 10^{2}

783.3975m² = 870m² - \frac{\sqrt{3}}{2} \cdot {10m}^{2}

783.3975 = 870 - \frac{\sqrt{3}}{2} \cdot 10^{2}

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Lateral Surface Area of Icosahedron given Total Surface Area and Edge Length Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

LSA = 870m² - \frac{\sqrt{3}}{2} \cdot {10m}^{2}

Next Step Prepare to Evaluate

∴

LSA = 870 - \frac{\sqrt{3}}{2} \cdot 10^{2}

Next Step Evaluate

∴

LSA = 783.397459621556m²

LAST Step Rounding Answer

∴

LSA = 783.3975m²

Lateral Surface Area of Icosahedron given Total Surface Area and Edge Length 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

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

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 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 Total Surface Area and Edge Length?

Lateral Surface Area of Icosahedron given Total Surface Area and Edge Length evaluator uses Lateral Surface Area of Icosahedron = Total Surface Area of Icosahedron-sqrt(3)/2*Edge Length of Icosahedron^2 to evaluate the Lateral Surface Area of Icosahedron, The Lateral Surface Area of Icosahedron given Total Surface Area and Edge Length 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 total surface area and edge length of the Icosahedron. Lateral Surface Area of Icosahedron is denoted by LSA symbol.

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

FAQs on Lateral Surface Area of Icosahedron given Total Surface Area and Edge Length

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

The formula of Lateral Surface Area of Icosahedron given Total Surface Area and Edge Length is expressed as Lateral Surface Area of Icosahedron = Total Surface Area of Icosahedron-sqrt(3)/2*Edge Length of Icosahedron^2. Here is an example- 783.3975 = 870-sqrt(3)/2*10^2.

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

With Total Surface Area of Icosahedron (TSA) & Edge Length of Icosahedron (l_e) we can find Lateral Surface Area of Icosahedron given Total Surface Area and Edge Length using the formula - Lateral Surface Area of Icosahedron = Total Surface Area of Icosahedron-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*(Face Perimeter of Icosahedron/3)^2
Lateral Surface Area of Icosahedron=18*Face Area of Icosahedron

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

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

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

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

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Lateral Surface Area of Icosahedron given Total Surface Area and Edge Length Formula

​GoLateral Surface Area of Icosahedron given Total Surface Area Formula

​GoLateral Surface Area of Icosahedron given Face Perimeter Formula

Lateral Surface Area of Icosahedron given Total Surface Area and Edge Length Example

Lateral Surface Area of Icosahedron given Total Surface Area and Edge Length Solution

Lateral Surface Area of Icosahedron given Total Surface Area and Edge Length Formula Elements

Other Formulas to find Lateral Surface Area of Icosahedron

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

FAQs on Lateral Surface Area of Icosahedron given Total Surface Area and Edge Length

Variable Name

GoLateral Surface Area of Icosahedron given Total Surface Area Formula

GoLateral Surface Area of Icosahedron given Face Perimeter Formula