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Total Surface Area of Stellated Octahedron given Circumsphere Radius Formula

GoTotal Surface Area of Stellated Octahedron Formula

GoTotal Surface Area of Stellated Octahedron given Edge Length of Peaks Formula

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

TSA = (\frac{3}{2}) \cdot \sqrt{3} \cdot ({(4 \cdot \frac{r c}{\sqrt{6}})}^{2})

TSA - Total Surface Area of Stellated Octahedron?r_c - Circumsphere Radius of Stellated Octahedron?

Total Surface Area of Stellated Octahedron given Circumsphere Radius Example

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

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

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

249.4153 = (\frac{3}{2}) \cdot \sqrt{3} \cdot ({(4 \cdot \frac{6}{\sqrt{6}})}^{2})

249.4153m² = (\frac{3}{2}) \cdot \sqrt{3} \cdot ({(4 \cdot \frac{6m}{\sqrt{6}})}^{2})

249.4153 = (\frac{3}{2}) \cdot \sqrt{3} \cdot ({(4 \cdot \frac{6}{\sqrt{6}})}^{2})

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Total Surface Area of Stellated Octahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

TSA = (\frac{3}{2}) \cdot \sqrt{3} \cdot ({(4 \cdot \frac{r c}{\sqrt{6}})}^{2})

Next Step Substitute values of Variables

∴

TSA = (\frac{3}{2}) \cdot \sqrt{3} \cdot ({(4 \cdot \frac{6m}{\sqrt{6}})}^{2})

Next Step Prepare to Evaluate

∴

TSA = (\frac{3}{2}) \cdot \sqrt{3} \cdot ({(4 \cdot \frac{6}{\sqrt{6}})}^{2})

Next Step Evaluate

∴

TSA = 249.415316289918m²

LAST Step Rounding Answer

∴

TSA = 249.4153m²

Total Surface Area of Stellated Octahedron given Circumsphere Radius Formula Elements

Variables

Functions

Total Surface Area of Stellated Octahedron

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Stellated Octahedron

Circumsphere Radius of Stellated Octahedron

Circumsphere Radius of Stellated Octahedron is the radius of the sphere that contains the Stellated Octahedron in such a way that all the vertices are lying on sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere Radius of Stellated 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 Stellated Octahedron

Go Total Surface Area of Stellated Octahedron

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

Go Total Surface Area of Stellated Octahedron given Edge Length of Peaks

TSA = (\frac{3}{2}) \cdot \sqrt{3} \cdot ({(2 \cdot l e(Peaks))}^{2})

Go Total Surface Area of Stellated Octahedron given Volume

TSA = (\frac{3}{2}) \cdot \sqrt{3} \cdot ({(8 \cdot \frac{V}{\sqrt{2}})}^{\frac{2}{3}})

Go Total Surface Area of Stellated Octahedron given Surface to Volume Ratio

TSA = (\frac{3}{2}) \cdot \sqrt{3} \cdot ({(\frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2} \cdot R A/V})}^{2})

How to Evaluate Total Surface Area of Stellated Octahedron given Circumsphere Radius?

Total Surface Area of Stellated Octahedron given Circumsphere Radius evaluator uses Total Surface Area of Stellated Octahedron = (3/2)*sqrt(3)*((4*Circumsphere Radius of Stellated Octahedron/sqrt(6))^2) to evaluate the Total Surface Area of Stellated Octahedron, Total Surface Area of Stellated Octahedron given Circumsphere Radius formula is defined as the total quantity of plane enclosed on the entire surface of the Stellated Octahedron, calculated using its circumsphere radius. Total Surface Area of Stellated Octahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Stellated Octahedron given Circumsphere Radius

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

The formula of Total Surface Area of Stellated Octahedron given Circumsphere Radius is expressed as Total Surface Area of Stellated Octahedron = (3/2)*sqrt(3)*((4*Circumsphere Radius of Stellated Octahedron/sqrt(6))^2). Here is an example- 249.4153 = (3/2)*sqrt(3)*((4*6/sqrt(6))^2).

How to calculate Total Surface Area of Stellated Octahedron given Circumsphere Radius?

With Circumsphere Radius of Stellated Octahedron (r_c) we can find Total Surface Area of Stellated Octahedron given Circumsphere Radius using the formula - Total Surface Area of Stellated Octahedron = (3/2)*sqrt(3)*((4*Circumsphere Radius of Stellated Octahedron/sqrt(6))^2). This formula also uses Square Root (sqrt) function(s).

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

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

Total Surface Area of Stellated Octahedron=(3/2)*sqrt(3)*Edge Length of Stellated Octahedron^2
Total Surface Area of Stellated Octahedron=(3/2)*sqrt(3)*((2*Edge Length of Peaks of Stellated Octahedron)^2)
Total Surface Area of Stellated Octahedron=(3/2)*sqrt(3)*((8*Volume of Stellated Octahedron/sqrt(2))^(2/3))

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

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

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

Total Surface Area of Stellated Octahedron given Circumsphere 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 Stellated Octahedron given Circumsphere Radius can be measured.

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