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Face Perimeter of Icosahedron given Total 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{TSA}{5 \cdot \sqrt{3}}}

P_Face - Face Perimeter of Icosahedron?TSA - Total Surface Area of Icosahedron?

Face Perimeter of Icosahedron given Total Surface Area Example

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

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

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

30.0688 = 3 \cdot \sqrt{\frac{870}{5 \cdot \sqrt{3}}}

30.0688m = 3 \cdot \sqrt{\frac{870m²}{5 \cdot \sqrt{3}}}

30.0688 = 3 \cdot \sqrt{\frac{870}{5 \cdot \sqrt{3}}}

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Face Perimeter of Icosahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P Face = 3 \cdot \sqrt{\frac{870m²}{5 \cdot \sqrt{3}}}

Next Step Prepare to Evaluate

∴

P Face = 3 \cdot \sqrt{\frac{870}{5 \cdot \sqrt{3}}}

Next Step Evaluate

∴

P Face = 30.0687632195099m

LAST Step Rounding Answer

∴

P Face = 30.0688m

Face Perimeter of Icosahedron given Total 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

Total Surface Area of Icosahedron

Total Surface Area of Icosahedron is the total quantity of plane enclosed by the entire surface of the Icosahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total 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 Insphere Radius

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

Go Face Perimeter of Icosahedron given Midsphere Radius

P Face = \frac{12 \cdot r m}{1 + \sqrt{5}}

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

Face Perimeter of Icosahedron given Total Surface Area evaluator uses Face Perimeter of Icosahedron = 3*sqrt(Total Surface Area of Icosahedron/(5*sqrt(3))) to evaluate the Face Perimeter of Icosahedron, The Face Perimeter of Icosahedron given Total Surface Area formula is defined as the total distance around the three edges of any face of the Icosahedron, and is calculated using the total surface area of the Icosahedron. Face Perimeter of Icosahedron is denoted by P_Face symbol.

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

FAQs on Face Perimeter of Icosahedron given Total Surface Area

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

The formula of Face Perimeter of Icosahedron given Total Surface Area is expressed as Face Perimeter of Icosahedron = 3*sqrt(Total Surface Area of Icosahedron/(5*sqrt(3))). Here is an example- 30.06876 = 3*sqrt(870/(5*sqrt(3))).

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

With Total Surface Area of Icosahedron (TSA) we can find Face Perimeter of Icosahedron given Total Surface Area using the formula - Face Perimeter of Icosahedron = 3*sqrt(Total Surface Area of Icosahedron/(5*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=(36*Insphere Radius of Icosahedron)/(sqrt(3)*(3+sqrt(5)))

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

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

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

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

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