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Face Perimeter of Icosahedron given Lateral Surface Area Formula

GoFace Perimeter of Icosahedron given Surface to Volume Ratio Formula

GoFace Perimeter of Icosahedron given Volume Formula

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

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

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

Face Perimeter of Icosahedron given Lateral Surface Area Example

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

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

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

30.0111 = 3 \cdot \sqrt{\frac{2 \cdot 780}{9 \cdot \sqrt{3}}}

30.0111m = 3 \cdot \sqrt{\frac{2 \cdot 780m²}{9 \cdot \sqrt{3}}}

30.0111 = 3 \cdot \sqrt{\frac{2 \cdot 780}{9 \cdot \sqrt{3}}}

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Face Perimeter of Icosahedron given Lateral Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

P Face = 30.0111049436007m

LAST Step Rounding Answer

∴

P Face = 30.0111m

Face Perimeter of Icosahedron given Lateral Surface Area Formula Elements

Variables

Functions

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

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 Face Perimeter of Icosahedron

Go Face Perimeter of Icosahedron given Surface to Volume Ratio

P Face = \frac{36 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot R A/V}

Go Face Perimeter of Icosahedron given Volume

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

Go Face Perimeter of Icosahedron given Total Surface Area

P Face = 3 \cdot \sqrt{\frac{TSA}{5 \cdot \sqrt{3}}}

Go Face Perimeter of Icosahedron given Insphere Radius

P Face = \frac{36 \cdot r i}{\sqrt{3} \cdot (3 + \sqrt{5})}

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

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

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

FAQs on Face Perimeter of Icosahedron given Lateral Surface Area

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

The formula of Face Perimeter of Icosahedron given Lateral Surface Area is expressed as Face Perimeter of Icosahedron = 3*sqrt((2*Lateral Surface Area of Icosahedron)/(9*sqrt(3))). Here is an example- 30.0111 = 3*sqrt((2*780)/(9*sqrt(3))).

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

With Lateral Surface Area of Icosahedron (LSA) we can find Face Perimeter of Icosahedron given Lateral Surface Area using the formula - Face Perimeter of Icosahedron = 3*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 Face Perimeter of Icosahedron?

Here are the different ways to Calculate Face Perimeter of Icosahedron-

Face Perimeter of Icosahedron=(36*sqrt(3))/((3+sqrt(5))*Surface to Volume Ratio of Icosahedron)
Face Perimeter of Icosahedron=3*((12*Volume of Icosahedron)/(5*(3+sqrt(5))))^(1/3)
Face Perimeter of Icosahedron=3*sqrt(Total Surface Area of Icosahedron/(5*sqrt(3)))

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

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

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

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

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