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Perimeter of Icosahedron given Lateral Surface Area Formula

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GoPerimeter of Icosahedron given Circumsphere Radius Formula

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Perimeter of Icosahedron is the sum of the total distance around all the edges of the Icosahedron. Check FAQs

P = 30 \cdot \sqrt{\frac{2 \cdot LSA}{9 \cdot \sqrt{3}}}

P - Perimeter of Icosahedron?LSA - Lateral Surface Area of Icosahedron?

Perimeter of Icosahedron given Lateral Surface Area Example

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

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

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

300.111 = 30 \cdot \sqrt{\frac{2 \cdot 780}{9 \cdot \sqrt{3}}}

300.111m = 30 \cdot \sqrt{\frac{2 \cdot 780m²}{9 \cdot \sqrt{3}}}

300.111 = 30 \cdot \sqrt{\frac{2 \cdot 780}{9 \cdot \sqrt{3}}}

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Perimeter of Icosahedron given Lateral Surface Area Solution

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

FIRST Step Consider the formula

P = 30 \cdot \sqrt{\frac{2 \cdot LSA}{9 \cdot \sqrt{3}}}

Next Step Substitute values of Variables

∴

P = 30 \cdot \sqrt{\frac{2 \cdot 780m²}{9 \cdot \sqrt{3}}}

Next Step Prepare to Evaluate

∴

P = 30 \cdot \sqrt{\frac{2 \cdot 780}{9 \cdot \sqrt{3}}}

Next Step Evaluate

∴

P = 300.111049436007m

LAST Step Rounding Answer

∴

P = 300.111m

Perimeter of Icosahedron given Lateral Surface Area Formula Elements

Variables

Functions

Perimeter of Icosahedron

Perimeter of Icosahedron is the sum of the total distance around all the edges of the Icosahedron.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Icosahedron

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

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 Perimeter of Icosahedron

Go Perimeter of Icosahedron

P = 30 \cdot l e

Go Perimeter of Icosahedron given Circumsphere Radius

P = \frac{120 \cdot r c}{\sqrt{10 + (2 \cdot \sqrt{5})}}

Go Perimeter of Icosahedron given Face Area

P = 30 \cdot \sqrt{\frac{4 \cdot A Face}{\sqrt{3}}}

Go Perimeter of Icosahedron given Insphere Radius

P = \frac{360 \cdot r i}{\sqrt{3} \cdot (3 + \sqrt{5})}

Other formulas in Perimeter of Icosahedron category

Go Perimeter of Icosahedron given Volume

P Face = 30 \cdot {(\frac{12 \cdot V}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

How to Evaluate Perimeter of Icosahedron given Lateral Surface Area?

Perimeter of Icosahedron given Lateral Surface Area evaluator uses Perimeter of Icosahedron = 30*sqrt((2*Lateral Surface Area of Icosahedron)/(9*sqrt(3))) to evaluate the Perimeter of Icosahedron, The Perimeter of Icosahedron given Lateral Surface Area formula is defined as the sum of the total distance around all the edges of the Icosahedron and is calculated using the lateral surface area of the Icosahedron. Perimeter of Icosahedron is denoted by P symbol.

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

FAQs on Perimeter of Icosahedron given Lateral Surface Area

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

The formula of Perimeter of Icosahedron given Lateral Surface Area is expressed as Perimeter of Icosahedron = 30*sqrt((2*Lateral Surface Area of Icosahedron)/(9*sqrt(3))). Here is an example- 300.111 = 30*sqrt((2*780)/(9*sqrt(3))).

How to calculate Perimeter of Icosahedron given Lateral Surface Area?

With Lateral Surface Area of Icosahedron (LSA) we can find Perimeter of Icosahedron given Lateral Surface Area using the formula - Perimeter of Icosahedron = 30*sqrt((2*Lateral Surface Area of Icosahedron)/(9*sqrt(3))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Perimeter of Icosahedron?

Here are the different ways to Calculate Perimeter of Icosahedron-

Perimeter of Icosahedron=30*Edge Length of Icosahedron
Perimeter of Icosahedron=(120*Circumsphere Radius of Icosahedron)/(sqrt(10+(2*sqrt(5))))
Perimeter of Icosahedron=30*sqrt((4*Face Area of Icosahedron)/sqrt(3))

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

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

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

Perimeter of Icosahedron given Lateral Surface Area is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Perimeter of Icosahedron given Lateral Surface Area can be measured.

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