FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Total Surface Area of Icosahedron given Midsphere Radius Formula

GoTotal Surface Area of Icosahedron given Circumsphere Radius Formula

GoTotal Surface Area of Icosahedron given Volume Formula

Fx Copy

LaTeX Copy

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{4 \cdot r m}{1 + \sqrt{5}})}^{2}

TSA - Total Surface Area of Icosahedron?r_m - Midsphere Radius of Icosahedron?

Total Surface Area of Icosahedron given Midsphere Radius Example

With values

With units

Only example

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

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

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

846.8282 = 5 \cdot \sqrt{3} \cdot {(\frac{4 \cdot 8}{1 + \sqrt{5}})}^{2}

846.8282m² = 5 \cdot \sqrt{3} \cdot {(\frac{4 \cdot 8m}{1 + \sqrt{5}})}^{2}

846.8282 = 5 \cdot \sqrt{3} \cdot {(\frac{4 \cdot 8}{1 + \sqrt{5}})}^{2}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Total Surface Area of Icosahedron given Midsphere Radius

Total Surface Area of Icosahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = 5 \cdot \sqrt{3} \cdot {(\frac{4 \cdot 8m}{1 + \sqrt{5}})}^{2}

Next Step Prepare to Evaluate

∴

TSA = 5 \cdot \sqrt{3} \cdot {(\frac{4 \cdot 8}{1 + \sqrt{5}})}^{2}

Next Step Evaluate

∴

TSA = 846.828208959497m²

LAST Step Rounding Answer

∴

TSA = 846.8282m²

Total Surface Area of Icosahedron given Midsphere Radius 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

Midsphere Radius of Icosahedron

The Midsphere Radius of Icosahedron is defined as radius of the sphere for which all the edges of the Icosahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius 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 Insphere Radius

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

How to Evaluate Total Surface Area of Icosahedron given Midsphere Radius?

Total Surface Area of Icosahedron given Midsphere Radius evaluator uses Total Surface Area of Icosahedron = 5*sqrt(3)*((4*Midsphere Radius of Icosahedron)/(1+sqrt(5)))^2 to evaluate the Total Surface Area of Icosahedron, The Total Surface Area of Icosahedron given Midsphere Radius formula is defined as the total quantity of plane enclosed by the entire surface of the Icosahedron and calculated using the midsphere radius of the Icosahedron. Total Surface Area of Icosahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Icosahedron given Midsphere Radius

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

The formula of Total Surface Area of Icosahedron given Midsphere Radius is expressed as Total Surface Area of Icosahedron = 5*sqrt(3)*((4*Midsphere Radius of Icosahedron)/(1+sqrt(5)))^2. Here is an example- 846.8282 = 5*sqrt(3)*((4*8)/(1+sqrt(5)))^2.

How to calculate Total Surface Area of Icosahedron given Midsphere Radius?

With Midsphere Radius of Icosahedron (r_m) we can find Total Surface Area of Icosahedron given Midsphere Radius using the formula - Total Surface Area of Icosahedron = 5*sqrt(3)*((4*Midsphere Radius of Icosahedron)/(1+sqrt(5)))^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 Midsphere Radius be negative?

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

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

Total Surface Area of Icosahedron given Midsphere Radius 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 Midsphere Radius can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit