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Total Surface Area of Octahedron given Midsphere Radius Formula

GoTotal Surface Area of Octahedron Formula

GoTotal Surface Area of Octahedron given Circumsphere Radius Formula

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

TSA = 8 \cdot \sqrt{3} \cdot {r m}^{2}

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

Total Surface Area of Octahedron given Midsphere Radius Example

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

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

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

346.4102 = 8 \cdot \sqrt{3} \cdot 5^{2}

346.4102m² = 8 \cdot \sqrt{3} \cdot {5m}^{2}

346.4102 = 8 \cdot \sqrt{3} \cdot 5^{2}

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Home » Math » Geometry » 3D Geometry » Total Surface Area of Octahedron given Midsphere Radius

Total Surface Area of Octahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

TSA = 8 \cdot \sqrt{3} \cdot {r m}^{2}

Next Step Substitute values of Variables

∴

TSA = 8 \cdot \sqrt{3} \cdot {5m}^{2}

Next Step Prepare to Evaluate

∴

TSA = 8 \cdot \sqrt{3} \cdot 5^{2}

Next Step Evaluate

∴

TSA = 346.410161513775m²

LAST Step Rounding Answer

∴

TSA = 346.4102m²

Total Surface Area of Octahedron given Midsphere Radius Formula Elements

Variables

Functions

Total Surface Area of Octahedron

Total Surface Area of Octahedron is the total quantity of plane enclosed by the entire surface of the Octahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Midsphere Radius of Octahedron

Midsphere Radius of Octahedron is the radius of the sphere for which all the edges of the Octahedron become a tangent line to that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

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)

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Formula and 2000+ more formulas!

Verified by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

Anamika Mittal has verified this Formula and 300+ more formulas!

Other Formulas to find Total Surface Area of Octahedron

Go Total Surface Area of Octahedron

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

Go Total Surface Area of Octahedron given Circumsphere Radius

TSA = 4 \cdot \sqrt{3} \cdot {r c}^{2}

Go Total Surface Area of Octahedron given Space Diagonal

TSA = \sqrt{3} \cdot {d Space}^{2}

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

Total Surface Area of Octahedron given Midsphere Radius evaluator uses Total Surface Area of Octahedron = 8*sqrt(3)*Midsphere Radius of Octahedron^2 to evaluate the Total Surface Area of Octahedron, Total Surface Area of Octahedron given Midsphere Radius formula is defined as the total quantity of plane enclosed by the entire surface of the Octahedron, and calculated using the midsphere radius of the Octahedron. Total Surface Area of Octahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Octahedron given Midsphere Radius

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

The formula of Total Surface Area of Octahedron given Midsphere Radius is expressed as Total Surface Area of Octahedron = 8*sqrt(3)*Midsphere Radius of Octahedron^2. Here is an example- 346.4102 = 8*sqrt(3)*5^2.

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

With Midsphere Radius of Octahedron (r_m) we can find Total Surface Area of Octahedron given Midsphere Radius using the formula - Total Surface Area of Octahedron = 8*sqrt(3)*Midsphere Radius of Octahedron^2. This formula also uses Square Root (sqrt) function(s).

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

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

Total Surface Area of Octahedron=2*sqrt(3)*Edge Length of Octahedron^2
Total Surface Area of Octahedron=4*sqrt(3)*Circumsphere Radius of Octahedron^2
Total Surface Area of Octahedron=sqrt(3)*Space Diagonal of Octahedron^2

Can the Total Surface Area of Octahedron given Midsphere Radius be negative?

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

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

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

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