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Total Surface Area of Octahedron given Insphere 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 = 12 \cdot \sqrt{3} \cdot {r i}^{2}

TSA - Total Surface Area of Octahedron?r_i - Insphere Radius of Octahedron?

Total Surface Area of Octahedron given Insphere Radius Example

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

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

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

332.5538 = 12 \cdot \sqrt{3} \cdot 4^{2}

332.5538m² = 12 \cdot \sqrt{3} \cdot {4m}^{2}

332.5538 = 12 \cdot \sqrt{3} \cdot 4^{2}

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Total Surface Area of Octahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

TSA = 12 \cdot \sqrt{3} \cdot {r i}^{2}

Next Step Substitute values of Variables

∴

TSA = 12 \cdot \sqrt{3} \cdot {4m}^{2}

Next Step Prepare to Evaluate

∴

TSA = 12 \cdot \sqrt{3} \cdot 4^{2}

Next Step Evaluate

∴

TSA = 332.553755053224m²

LAST Step Rounding Answer

∴

TSA = 332.5538m²

Total Surface Area of Octahedron given Insphere 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.

Formulas to find Total Surface Area of Octahedron

Insphere Radius of Octahedron

Insphere Radius of Octahedron is the radius of the sphere that is contained by the Octahedron in such a way that all the faces are just touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Octahedron

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 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 Midsphere Radius

TSA = 8 \cdot \sqrt{3} \cdot {r m}^{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 Insphere Radius?

Total Surface Area of Octahedron given Insphere Radius evaluator uses Total Surface Area of Octahedron = 12*sqrt(3)*Insphere Radius of Octahedron^2 to evaluate the Total Surface Area of Octahedron, The Total Surface Area of Octahedron given Insphere Radius formula is defined as the total quantity of plane enclosed by the entire surface of the Octahedron and calculated using the insphere radius of the Octahedron. Total Surface Area of Octahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Octahedron given Insphere Radius

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

The formula of Total Surface Area of Octahedron given Insphere Radius is expressed as Total Surface Area of Octahedron = 12*sqrt(3)*Insphere Radius of Octahedron^2. Here is an example- 332.5538 = 12*sqrt(3)*4^2.

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

With Insphere Radius of Octahedron (r_i) we can find Total Surface Area of Octahedron given Insphere Radius using the formula - Total Surface Area of Octahedron = 12*sqrt(3)*Insphere 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=8*sqrt(3)*Midsphere Radius of Octahedron^2

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

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

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

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

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