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Total Surface Area of Stellated Octahedron given Volume 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 ({(8 \cdot \frac{V}{\sqrt{2}})}^{\frac{2}{3}})

TSA - Total Surface Area of Stellated Octahedron?V - Volume of Stellated Octahedron?

Total Surface Area of Stellated Octahedron given Volume Example

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

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

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

262.9563 = (\frac{3}{2}) \cdot \sqrt{3} \cdot ({(8 \cdot \frac{180}{\sqrt{2}})}^{\frac{2}{3}})

262.9563m² = (\frac{3}{2}) \cdot \sqrt{3} \cdot ({(8 \cdot \frac{180m³}{\sqrt{2}})}^{\frac{2}{3}})

262.9563 = (\frac{3}{2}) \cdot \sqrt{3} \cdot ({(8 \cdot \frac{180}{\sqrt{2}})}^{\frac{2}{3}})

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Total Surface Area of Stellated Octahedron given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = (\frac{3}{2}) \cdot \sqrt{3} \cdot ({(8 \cdot \frac{180m³}{\sqrt{2}})}^{\frac{2}{3}})

Next Step Prepare to Evaluate

∴

TSA = (\frac{3}{2}) \cdot \sqrt{3} \cdot ({(8 \cdot \frac{180}{\sqrt{2}})}^{\frac{2}{3}})

Next Step Evaluate

∴

TSA = 262.956281231856m²

LAST Step Rounding Answer

∴

TSA = 262.9563m²

Total Surface Area of Stellated Octahedron given Volume 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

Volume of Stellated Octahedron

Volume of Stellated Octahedron is the total quantity of three dimensional space enclosed by the surface of the Stellated Octahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Circumsphere Radius

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

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 Volume?

Total Surface Area of Stellated Octahedron given Volume evaluator uses Total Surface Area of Stellated Octahedron = (3/2)*sqrt(3)*((8*Volume of Stellated Octahedron/sqrt(2))^(2/3)) to evaluate the Total Surface Area of Stellated Octahedron, Total Surface Area of Stellated Octahedron given Volume formula is defined as the total quantity of plane enclosed on the entire surface of the Stellated Octahedron, calculated using its volume. Total Surface Area of Stellated Octahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Stellated Octahedron given Volume

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

The formula of Total Surface Area of Stellated Octahedron given Volume is expressed as Total Surface Area of Stellated Octahedron = (3/2)*sqrt(3)*((8*Volume of Stellated Octahedron/sqrt(2))^(2/3)). Here is an example- 262.9563 = (3/2)*sqrt(3)*((8*180/sqrt(2))^(2/3)).

How to calculate Total Surface Area of Stellated Octahedron given Volume?

With Volume of Stellated Octahedron (V) we can find Total Surface Area of Stellated Octahedron given Volume using the formula - Total Surface Area of Stellated Octahedron = (3/2)*sqrt(3)*((8*Volume of Stellated Octahedron/sqrt(2))^(2/3)). 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)*((4*Circumsphere Radius of Stellated Octahedron/sqrt(6))^2)

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

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

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

Total Surface Area of Stellated Octahedron given Volume 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 Volume can be measured.

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