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Lateral Surface Area of Icosahedron given Volume Formula

GoLateral Surface Area of Icosahedron Formula

GoLateral Surface Area of Icosahedron given Total Surface 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{\frac{12}{5} \cdot V}{3 + \sqrt{5}})}^{\frac{2}{3}}

LSA - Lateral Surface Area of Icosahedron?V - Volume of Icosahedron?

Lateral Surface Area of Icosahedron given Volume Example

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

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

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

783.7765 = 9 \cdot \frac{\sqrt{3}}{2} \cdot {(\frac{\frac{12}{5} \cdot 2200}{3 + \sqrt{5}})}^{\frac{2}{3}}

783.7765m² = 9 \cdot \frac{\sqrt{3}}{2} \cdot {(\frac{\frac{12}{5} \cdot 2200m³}{3 + \sqrt{5}})}^{\frac{2}{3}}

783.7765 = 9 \cdot \frac{\sqrt{3}}{2} \cdot {(\frac{\frac{12}{5} \cdot 2200}{3 + \sqrt{5}})}^{\frac{2}{3}}

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Lateral Surface Area of Icosahedron given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

LSA = 9 \cdot \frac{\sqrt{3}}{2} \cdot {(\frac{\frac{12}{5} \cdot 2200m³}{3 + \sqrt{5}})}^{\frac{2}{3}}

Next Step Prepare to Evaluate

∴

LSA = 9 \cdot \frac{\sqrt{3}}{2} \cdot {(\frac{\frac{12}{5} \cdot 2200}{3 + \sqrt{5}})}^{\frac{2}{3}}

Next Step Evaluate

∴

LSA = 783.776501525758m²

LAST Step Rounding Answer

∴

LSA = 783.7765m²

Lateral Surface Area of Icosahedron given Volume 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

Volume of Icosahedron

Volume of Icosahedron is the total quantity of three dimensional space enclosed by the surface of the Icosahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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

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

Go Lateral Surface Area of Icosahedron given Total Surface Area

LSA = \frac{9}{10} \cdot TSA

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 given Volume?

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

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

FAQs on Lateral Surface Area of Icosahedron given Volume

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

The formula of Lateral Surface Area of Icosahedron given Volume is expressed as Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*((12/5*Volume of Icosahedron)/(3+sqrt(5)))^(2/3). Here is an example- 783.7765 = 9*sqrt(3)/2*((12/5*2200)/(3+sqrt(5)))^(2/3).

How to calculate Lateral Surface Area of Icosahedron given Volume?

With Volume of Icosahedron (V) we can find Lateral Surface Area of Icosahedron given Volume using the formula - Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*((12/5*Volume of Icosahedron)/(3+sqrt(5)))^(2/3). 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*sqrt(3)/2*Edge Length of Icosahedron^2
Lateral Surface Area of Icosahedron=9/10*Total Surface Area of Icosahedron

Can the Lateral Surface Area of Icosahedron given Volume be negative?

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

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

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

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