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Total Surface Area of Cuboctahedron given Circumsphere Radius Formula

GoTotal Surface Area of Cuboctahedron Formula

GoTotal Surface Area of Cuboctahedron given Lateral Surface Area Formula

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Total Surface Area of Cuboctahedron is defined as the measure of the total amount of two-dimensional space enclosed by all the faces of the Cuboctahedron. Check FAQs

TSA = 2 \cdot (3 + \sqrt{3}) \cdot {r c}^{2}

TSA - Total Surface Area of Cuboctahedron?r_c - Circumsphere Radius of Cuboctahedron?

Total Surface Area of Cuboctahedron given Circumsphere Radius Example

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

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

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

946.4102 = 2 \cdot (3 + \sqrt{3}) \cdot 10^{2}

946.4102m² = 2 \cdot (3 + \sqrt{3}) \cdot {10m}^{2}

946.4102 = 2 \cdot (3 + \sqrt{3}) \cdot 10^{2}

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Total Surface Area of Cuboctahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

TSA = 2 \cdot (3 + \sqrt{3}) \cdot {r c}^{2}

Next Step Substitute values of Variables

∴

TSA = 2 \cdot (3 + \sqrt{3}) \cdot {10m}^{2}

Next Step Prepare to Evaluate

∴

TSA = 2 \cdot (3 + \sqrt{3}) \cdot 10^{2}

Next Step Evaluate

∴

TSA = 946.410161513775m²

LAST Step Rounding Answer

∴

TSA = 946.4102m²

Total Surface Area of Cuboctahedron given Circumsphere Radius Formula Elements

Variables

Functions

Total Surface Area of Cuboctahedron

Total Surface Area of Cuboctahedron is defined as the measure of the total amount of two-dimensional space enclosed by all the faces of the Cuboctahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Cuboctahedron

Circumsphere Radius of Cuboctahedron

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

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere Radius of Cuboctahedron

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 Cuboctahedron

Go Total Surface Area of Cuboctahedron

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

Go Total Surface Area of Cuboctahedron given Lateral Surface Area

TSA = 2 \cdot (3 + \sqrt{3}) \cdot \frac{LSA}{(2 \cdot \sqrt{3}) + 4}

Go Total Surface Area of Cuboctahedron given Midsphere Radius

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

Go Total Surface Area of Cuboctahedron given Surface to Volume Ratio

TSA = 2 \cdot (3 + \sqrt{3}) \cdot {(\frac{18 + (6 \cdot \sqrt{3})}{5 \cdot \sqrt{2} \cdot R A/V})}^{2}

How to Evaluate Total Surface Area of Cuboctahedron given Circumsphere Radius?

Total Surface Area of Cuboctahedron given Circumsphere Radius evaluator uses Total Surface Area of Cuboctahedron = 2*(3+sqrt(3))*Circumsphere Radius of Cuboctahedron^2 to evaluate the Total Surface Area of Cuboctahedron, The Total Surface Area of Cuboctahedron given Circumsphere Radius formula is defined as the measure of the total amount of two-dimensional space enclosed by all the faces of the Cuboctahedron, calculated using circumsphere radius of Cuboctahedron. Total Surface Area of Cuboctahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Cuboctahedron given Circumsphere Radius

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

The formula of Total Surface Area of Cuboctahedron given Circumsphere Radius is expressed as Total Surface Area of Cuboctahedron = 2*(3+sqrt(3))*Circumsphere Radius of Cuboctahedron^2. Here is an example- 946.4102 = 2*(3+sqrt(3))*10^2.

How to calculate Total Surface Area of Cuboctahedron given Circumsphere Radius?

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

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

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

Total Surface Area of Cuboctahedron=2*(3+sqrt(3))*Edge Length of Cuboctahedron^2
Total Surface Area of Cuboctahedron=2*(3+sqrt(3))*Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4)
Total Surface Area of Cuboctahedron=2*(3+sqrt(3))*(2/sqrt(3)*Midsphere Radius of Cuboctahedron)^2

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

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

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

Total Surface Area of Cuboctahedron 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 Cuboctahedron given Circumsphere Radius can be measured.

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