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Lateral Surface Area of Icosahedron given Face Perimeter Formula

GoLateral Surface Area of Icosahedron given Total Surface Area Formula

GoLateral Surface Area of Icosahedron given Face Area 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{P Face}{3})}^{2}

LSA - Lateral Surface Area of Icosahedron?P_Face - Face Perimeter of Icosahedron?

Lateral Surface Area of Icosahedron given Face Perimeter Example

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

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

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

779.4229 = 9 \cdot \frac{\sqrt{3}}{2} \cdot {(\frac{30}{3})}^{2}

779.4229m² = 9 \cdot \frac{\sqrt{3}}{2} \cdot {(\frac{30m}{3})}^{2}

779.4229 = 9 \cdot \frac{\sqrt{3}}{2} \cdot {(\frac{30}{3})}^{2}

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Lateral Surface Area of Icosahedron given Face Perimeter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

LSA = 9 \cdot \frac{\sqrt{3}}{2} \cdot {(\frac{30m}{3})}^{2}

Next Step Prepare to Evaluate

∴

LSA = 9 \cdot \frac{\sqrt{3}}{2} \cdot {(\frac{30}{3})}^{2}

Next Step Evaluate

∴

LSA = 779.422863405995m²

LAST Step Rounding Answer

∴

LSA = 779.4229m²

Lateral Surface Area of Icosahedron given Face Perimeter 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

Face Perimeter of Icosahedron

Face Perimeter of Icosahedron is the total distance around the five edges of any face of the Icosahedron.

Symbol: P_Face

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Face Perimeter 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 Area

LSA = 18 \cdot A Face

Go Lateral Surface Area of Icosahedron

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

Go Lateral Surface Area of Icosahedron given Circumsphere Radius

LSA = 9 \cdot \frac{\sqrt{3}}{2} \cdot {(\frac{4 \cdot r c}{\sqrt{10 + (2 \cdot \sqrt{5})}})}^{2}

How to Evaluate Lateral Surface Area of Icosahedron given Face Perimeter?

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

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

FAQs on Lateral Surface Area of Icosahedron given Face Perimeter

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

The formula of Lateral Surface Area of Icosahedron given Face Perimeter is expressed as Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*(Face Perimeter of Icosahedron/3)^2. Here is an example- 779.4229 = 9*sqrt(3)/2*(30/3)^2.

How to calculate Lateral Surface Area of Icosahedron given Face Perimeter?

With Face Perimeter of Icosahedron (P_Face) we can find Lateral Surface Area of Icosahedron given Face Perimeter using the formula - Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*(Face Perimeter of Icosahedron/3)^2. This formula also uses Square Root Function 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=18*Face Area of Icosahedron
Lateral Surface Area of Icosahedron=9*sqrt(3)/2*Edge Length of Icosahedron^2

Can the Lateral Surface Area of Icosahedron given Face Perimeter be negative?

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

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

Lateral Surface Area of Icosahedron given Face Perimeter 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 Face Perimeter can be measured.

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