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Lateral Surface Area of Icosahedron given Space Diagonal 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{2 \cdot d Space}{\sqrt{10 + (2 \cdot \sqrt{5})}})}^{2}

LSA - Lateral Surface Area of Icosahedron?d_Space - Space Diagonal of Icosahedron?

Lateral Surface Area of Icosahedron given Space Diagonal Example

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

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

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

777.6921 = 9 \cdot \frac{\sqrt{3}}{2} \cdot {(\frac{2 \cdot 19}{\sqrt{10 + (2 \cdot \sqrt{5})}})}^{2}

777.6921m² = 9 \cdot \frac{\sqrt{3}}{2} \cdot {(\frac{2 \cdot 19m}{\sqrt{10 + (2 \cdot \sqrt{5})}})}^{2}

777.6921 = 9 \cdot \frac{\sqrt{3}}{2} \cdot {(\frac{2 \cdot 19}{\sqrt{10 + (2 \cdot \sqrt{5})}})}^{2}

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Lateral Surface Area of Icosahedron given Space Diagonal Solution

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

FIRST Step Consider the formula

LSA = 9 \cdot \frac{\sqrt{3}}{2} \cdot {(\frac{2 \cdot d Space}{\sqrt{10 + (2 \cdot \sqrt{5})}})}^{2}

Next Step Substitute values of Variables

∴

LSA = 9 \cdot \frac{\sqrt{3}}{2} \cdot {(\frac{2 \cdot 19m}{\sqrt{10 + (2 \cdot \sqrt{5})}})}^{2}

Next Step Prepare to Evaluate

∴

LSA = 9 \cdot \frac{\sqrt{3}}{2} \cdot {(\frac{2 \cdot 19}{\sqrt{10 + (2 \cdot \sqrt{5})}})}^{2}

Next Step Evaluate

∴

LSA = 777.692123856426m²

LAST Step Rounding Answer

∴

LSA = 777.6921m²

Lateral Surface Area of Icosahedron given Space Diagonal 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

Space Diagonal of Icosahedron

The Space Diagonal of Icosahedron is the line connecting two vertices that are not on the same face of Icosahedron.

Symbol: d_Space

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Space Diagonal 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 Space Diagonal?

Lateral Surface Area of Icosahedron given Space Diagonal evaluator uses Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*((2*Space Diagonal of Icosahedron)/(sqrt(10+(2*sqrt(5)))))^2 to evaluate the Lateral Surface Area of Icosahedron, The Lateral Surface Area of Icosahedron given Space Diagonal 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 space diagonal of the Icosahedron. Lateral Surface Area of Icosahedron is denoted by LSA symbol.

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

FAQs on Lateral Surface Area of Icosahedron given Space Diagonal

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

The formula of Lateral Surface Area of Icosahedron given Space Diagonal is expressed as Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*((2*Space Diagonal of Icosahedron)/(sqrt(10+(2*sqrt(5)))))^2. Here is an example- 777.6921 = 9*sqrt(3)/2*((2*19)/(sqrt(10+(2*sqrt(5)))))^2.

How to calculate Lateral Surface Area of Icosahedron given Space Diagonal?

With Space Diagonal of Icosahedron (d_Space) we can find Lateral Surface Area of Icosahedron given Space Diagonal using the formula - Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*((2*Space Diagonal of Icosahedron)/(sqrt(10+(2*sqrt(5)))))^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=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 Space Diagonal be negative?

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

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

Lateral Surface Area of Icosahedron given Space Diagonal 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 Space Diagonal can be measured.

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