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Total Surface Area of Icosahedron given Face Perimeter Formula

GoTotal Surface Area of Icosahedron given Circumsphere Radius Formula

GoTotal Surface Area of Icosahedron given Volume Formula

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

TSA = 5 \cdot \sqrt{3} \cdot {(\frac{P Face}{3})}^{2}

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

Total Surface Area of Icosahedron given Face Perimeter Example

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

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

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

866.0254 = 5 \cdot \sqrt{3} \cdot {(\frac{30}{3})}^{2}

866.0254m² = 5 \cdot \sqrt{3} \cdot {(\frac{30m}{3})}^{2}

866.0254 = 5 \cdot \sqrt{3} \cdot {(\frac{30}{3})}^{2}

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Total Surface Area of Icosahedron given Face Perimeter Solution

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

FIRST Step Consider the formula

TSA = 5 \cdot \sqrt{3} \cdot {(\frac{P Face}{3})}^{2}

Next Step Substitute values of Variables

∴

TSA = 5 \cdot \sqrt{3} \cdot {(\frac{30m}{3})}^{2}

Next Step Prepare to Evaluate

∴

TSA = 5 \cdot \sqrt{3} \cdot {(\frac{30}{3})}^{2}

Next Step Evaluate

∴

TSA = 866.025403784439m²

LAST Step Rounding Answer

∴

TSA = 866.0254m²

Total Surface Area of Icosahedron given Face Perimeter Formula Elements

Variables

Functions

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

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

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 Total Surface Area of Icosahedron

Go Total Surface Area of Icosahedron given Circumsphere Radius

TSA = 5 \cdot \sqrt{3} \cdot {(\frac{4 \cdot r c}{\sqrt{10 + (2 \cdot \sqrt{5})}})}^{2}

Go Total Surface Area of Icosahedron given Volume

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

Go Total Surface Area of Icosahedron

TSA = 5 \cdot \sqrt{3} \cdot {l e}^{2}

Go Total Surface Area of Icosahedron given Midsphere Radius

TSA = 5 \cdot \sqrt{3} \cdot {(\frac{4 \cdot r m}{1 + \sqrt{5}})}^{2}

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

Total Surface Area of Icosahedron given Face Perimeter evaluator uses Total Surface Area of Icosahedron = 5*sqrt(3)*(Face Perimeter of Icosahedron/3)^2 to evaluate the Total Surface Area of Icosahedron, The Total Surface Area of Icosahedron given Face Perimeter formula is defined as the total quantity of plane enclosed by the entire surface of the Icosahedron, and calculated using the face perimeter of the Icosahedron. Total Surface Area of Icosahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Icosahedron given Face Perimeter

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

The formula of Total Surface Area of Icosahedron given Face Perimeter is expressed as Total Surface Area of Icosahedron = 5*sqrt(3)*(Face Perimeter of Icosahedron/3)^2. Here is an example- 866.0254 = 5*sqrt(3)*(30/3)^2.

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

With Face Perimeter of Icosahedron (P_Face) we can find Total Surface Area of Icosahedron given Face Perimeter using the formula - Total Surface Area of Icosahedron = 5*sqrt(3)*(Face Perimeter of Icosahedron/3)^2. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Total Surface Area of Icosahedron?

Here are the different ways to Calculate Total Surface Area of Icosahedron-

Total Surface Area of Icosahedron=5*sqrt(3)*((4*Circumsphere Radius of Icosahedron)/(sqrt(10+(2*sqrt(5)))))^2
Total Surface Area of Icosahedron=5*sqrt(3)*((12*Volume of Icosahedron)/(5*(3+sqrt(5))))^(2/3)
Total Surface Area of Icosahedron=5*sqrt(3)*Edge Length of Icosahedron^2

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

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

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

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

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