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

P - Perimeter of Icosahedron?TSA - Total Surface Area of Icosahedron?

Perimeter of Icosahedron given Total Surface Area Example

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

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

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

300.6876 = 30 \cdot \sqrt{\frac{870}{5 \cdot \sqrt{3}}}

300.6876m = 30 \cdot \sqrt{\frac{870m²}{5 \cdot \sqrt{3}}}

300.6876 = 30 \cdot \sqrt{\frac{870}{5 \cdot \sqrt{3}}}

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Perimeter of Icosahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

P = 30 \cdot \sqrt{\frac{TSA}{5 \cdot \sqrt{3}}}

Next Step Substitute values of Variables

∴

P = 30 \cdot \sqrt{\frac{870m²}{5 \cdot \sqrt{3}}}

Next Step Prepare to Evaluate

∴

P = 30 \cdot \sqrt{\frac{870}{5 \cdot \sqrt{3}}}

Next Step Evaluate

∴

P = 300.687632195099m

LAST Step Rounding Answer

∴

P = 300.6876m

Perimeter of Icosahedron given Total 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

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 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 Total Surface Area?

Perimeter of Icosahedron given Total Surface Area evaluator uses Perimeter of Icosahedron = 30*sqrt(Total Surface Area of Icosahedron/(5*sqrt(3))) to evaluate the Perimeter of Icosahedron, The Perimeter of Icosahedron given Total Surface Area formula is defined as the sum of the total distance around all the edges of the Icosahedron and is calculated using the total surface area of the Icosahedron. Perimeter of Icosahedron is denoted by P symbol.

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

FAQs on Perimeter of Icosahedron given Total Surface Area

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

The formula of Perimeter of Icosahedron given Total Surface Area is expressed as Perimeter of Icosahedron = 30*sqrt(Total Surface Area of Icosahedron/(5*sqrt(3))). Here is an example- 300.6876 = 30*sqrt(870/(5*sqrt(3))).

How to calculate Perimeter of Icosahedron given Total Surface Area?

With Total Surface Area of Icosahedron (TSA) we can find Perimeter of Icosahedron given Total Surface Area using the formula - Perimeter of Icosahedron = 30*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 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 Total Surface Area be negative?

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

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

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 Perimeter of Icosahedron given Total Surface Area can be measured.

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