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Lateral Surface Area of Icosahedron given Surface to Volume Ratio 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{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot R A/V})}^{2}

LSA - Lateral Surface Area of Icosahedron?R_A/V - Surface to Volume Ratio of Icosahedron?

Lateral Surface Area of Icosahedron given Surface to Volume Ratio Example

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Here is how the Lateral Surface Area of Icosahedron given Surface to Volume Ratio equation looks like with Values.

Here is how the Lateral Surface Area of Icosahedron given Surface to Volume Ratio equation looks like with Units.

Here is how the Lateral Surface Area of Icosahedron given Surface to Volume Ratio equation looks like.

767.5848 = 9 \cdot \frac{\sqrt{3}}{2} \cdot {(\frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot 0.4})}^{2}

767.5848m² = 9 \cdot \frac{\sqrt{3}}{2} \cdot {(\frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot 0.4m⁻¹})}^{2}

767.5848 = 9 \cdot \frac{\sqrt{3}}{2} \cdot {(\frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot 0.4})}^{2}

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Lateral Surface Area of Icosahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

LSA = 9 \cdot \frac{\sqrt{3}}{2} \cdot {(\frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot 0.4m⁻¹})}^{2}

Next Step Prepare to Evaluate

∴

LSA = 9 \cdot \frac{\sqrt{3}}{2} \cdot {(\frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot 0.4})}^{2}

Next Step Evaluate

∴

LSA = 767.584776809083m²

LAST Step Rounding Answer

∴

LSA = 767.5848m²

Lateral Surface Area of Icosahedron given Surface to Volume Ratio 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

Surface to Volume Ratio of Icosahedron

The Surface to Volume Ratio of Icosahedron is the numerical ratio of the total surface area to the volume of the Icosahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio 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 Surface to Volume Ratio?

Lateral Surface Area of Icosahedron given Surface to Volume Ratio evaluator uses Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*((12*sqrt(3))/((3+sqrt(5))*Surface to Volume Ratio of Icosahedron))^2 to evaluate the Lateral Surface Area of Icosahedron, The Lateral Surface Area of Icosahedron given Surface to Volume Ratio 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 surface to volume ratio of the Icosahedron. Lateral Surface Area of Icosahedron is denoted by LSA symbol.

How to evaluate Lateral Surface Area of Icosahedron given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Lateral Surface Area of Icosahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Icosahedron (R_A/V) and hit the calculate button.

FAQs on Lateral Surface Area of Icosahedron given Surface to Volume Ratio

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

The formula of Lateral Surface Area of Icosahedron given Surface to Volume Ratio is expressed as Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*((12*sqrt(3))/((3+sqrt(5))*Surface to Volume Ratio of Icosahedron))^2. Here is an example- 767.5848 = 9*sqrt(3)/2*((12*sqrt(3))/((3+sqrt(5))*0.4))^2.

How to calculate Lateral Surface Area of Icosahedron given Surface to Volume Ratio?

With Surface to Volume Ratio of Icosahedron (R_A/V) we can find Lateral Surface Area of Icosahedron given Surface to Volume Ratio using the formula - Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*((12*sqrt(3))/((3+sqrt(5))*Surface to Volume Ratio of Icosahedron))^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 Surface to Volume Ratio be negative?

No, the Lateral Surface Area of Icosahedron given Surface to Volume Ratio, measured in Area cannot be negative.

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

Lateral Surface Area of Icosahedron given Surface to Volume Ratio 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 Surface to Volume Ratio can be measured.

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