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Total Surface Area of Icosahedron given Lateral Surface Area 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 = \frac{10}{9} \cdot LSA

TSA - Total Surface Area of Icosahedron?LSA - Lateral Surface Area of Icosahedron?

Total Surface Area of Icosahedron given Lateral Surface Area Example

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

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

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

866.6667 = \frac{10}{9} \cdot 780

866.6667m² = \frac{10}{9} \cdot 780m²

866.6667 = \frac{10}{9} \cdot 780

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Total Surface Area of Icosahedron given Lateral Surface Area Solution

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

FIRST Step Consider the formula

TSA = \frac{10}{9} \cdot LSA

Next Step Substitute values of Variables

∴

TSA = \frac{10}{9} \cdot 780m²

Next Step Prepare to Evaluate

∴

TSA = \frac{10}{9} \cdot 780

Next Step Evaluate

∴

TSA = 866.666666666667m²

LAST Step Rounding Answer

∴

TSA = 866.6667m²

Total Surface Area of Icosahedron given Lateral Surface Area Formula Elements

Variables

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

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

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 Lateral Surface Area?

Total Surface Area of Icosahedron given Lateral Surface Area evaluator uses Total Surface Area of Icosahedron = 10/9*Lateral Surface Area of Icosahedron to evaluate the Total Surface Area of Icosahedron, The Total Surface Area of Icosahedron given Lateral Surface Area formula is defined as the total quantity of plane enclosed by the entire surface of the Icosahedron, and calculated using the lateral surface area of the Icosahedron. Total Surface Area of Icosahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Icosahedron given Lateral Surface Area

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

The formula of Total Surface Area of Icosahedron given Lateral Surface Area is expressed as Total Surface Area of Icosahedron = 10/9*Lateral Surface Area of Icosahedron. Here is an example- 866.6667 = 10/9*780.

How to calculate Total Surface Area of Icosahedron given Lateral Surface Area?

With Lateral Surface Area of Icosahedron (LSA) we can find Total Surface Area of Icosahedron given Lateral Surface Area using the formula - Total Surface Area of Icosahedron = 10/9*Lateral Surface Area of Icosahedron.

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 Lateral Surface Area be negative?

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

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

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

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