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Total Surface Area of Icosahedron given Volume Formula

GoTotal Surface Area of Icosahedron Formula

GoTotal Surface Area of Icosahedron given Circumsphere Radius 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{12 \cdot V}{5 \cdot (3 + \sqrt{5})})}^{\frac{2}{3}}

TSA - Total Surface Area of Icosahedron?V - Volume of Icosahedron?

Total Surface Area of Icosahedron given Volume Example

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

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

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

870.8628 = 5 \cdot \sqrt{3} \cdot {(\frac{12 \cdot 2200}{5 \cdot (3 + \sqrt{5})})}^{\frac{2}{3}}

870.8628m² = 5 \cdot \sqrt{3} \cdot {(\frac{12 \cdot 2200m³}{5 \cdot (3 + \sqrt{5})})}^{\frac{2}{3}}

870.8628 = 5 \cdot \sqrt{3} \cdot {(\frac{12 \cdot 2200}{5 \cdot (3 + \sqrt{5})})}^{\frac{2}{3}}

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Total Surface Area of Icosahedron given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = 5 \cdot \sqrt{3} \cdot {(\frac{12 \cdot 2200m³}{5 \cdot (3 + \sqrt{5})})}^{\frac{2}{3}}

Next Step Prepare to Evaluate

∴

TSA = 5 \cdot \sqrt{3} \cdot {(\frac{12 \cdot 2200}{5 \cdot (3 + \sqrt{5})})}^{\frac{2}{3}}

Next Step Evaluate

∴

TSA = 870.862779473064m²

LAST Step Rounding Answer

∴

TSA = 870.8628m²

Total Surface Area of Icosahedron given Volume 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

Volume of Icosahedron

Volume of Icosahedron is the total quantity of three dimensional space enclosed by the surface of the Icosahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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

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

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 Lateral Surface Area and Edge Length

TSA = LSA + \frac{\sqrt{3}}{2} \cdot {l e}^{2}

Other formulas in Total Surface Area of Icosahedron category

Go Face Area of Icosahedron

A Face = \frac{\sqrt{3}}{4} \cdot {l e}^{2}

Go Face Area of Icosahedron given Circumsphere Radius

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

Go Face Area of Icosahedron given Total Surface Area

A Face = \frac{TSA}{20}

Go Lateral Surface Area of Icosahedron

LSA = 9 \cdot \frac{\sqrt{3}}{2} \cdot {l e}^{2}

How to Evaluate Total Surface Area of Icosahedron given Volume?

Total Surface Area of Icosahedron given Volume evaluator uses Total Surface Area of Icosahedron = 5*sqrt(3)*((12*Volume of Icosahedron)/(5*(3+sqrt(5))))^(2/3) to evaluate the Total Surface Area of Icosahedron, Total Surface Area of Icosahedron given Volume formula is defined as the total quantity of plane enclosed by the entire surface of the Icosahedron, and calculated using the volume of the Icosahedron. Total Surface Area of Icosahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Icosahedron given Volume

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

The formula of Total Surface Area of Icosahedron given Volume is expressed as Total Surface Area of Icosahedron = 5*sqrt(3)*((12*Volume of Icosahedron)/(5*(3+sqrt(5))))^(2/3). Here is an example- 870.8628 = 5*sqrt(3)*((12*2200)/(5*(3+sqrt(5))))^(2/3).

How to calculate Total Surface Area of Icosahedron given Volume?

With Volume of Icosahedron (V) we can find Total Surface Area of Icosahedron given Volume using the formula - Total Surface Area of Icosahedron = 5*sqrt(3)*((12*Volume of Icosahedron)/(5*(3+sqrt(5))))^(2/3). 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)*Edge Length of Icosahedron^2
Total Surface Area of Icosahedron=5*sqrt(3)*((4*Circumsphere Radius of Icosahedron)/(sqrt(10+(2*sqrt(5)))))^2
Total Surface Area of Icosahedron=Lateral Surface Area of Icosahedron+sqrt(3)/2*Edge Length of Icosahedron^2

Can the Total Surface Area of Icosahedron given Volume be negative?

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

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

Total Surface Area of Icosahedron given Volume 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 Volume can be measured.

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