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Total Surface Area of Cuboctahedron given Midsphere Radius Formula

GoTotal Surface Area of Cuboctahedron Formula

GoTotal Surface Area of Cuboctahedron given Circumsphere Radius 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 {(\frac{2}{\sqrt{3}} \cdot r m)}^{2}

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

Total Surface Area of Cuboctahedron given Midsphere Radius Example

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

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

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

1022.123 = 2 \cdot (3 + \sqrt{3}) \cdot {(\frac{2}{\sqrt{3}} \cdot 9)}^{2}

1022.123m² = 2 \cdot (3 + \sqrt{3}) \cdot {(\frac{2}{\sqrt{3}} \cdot 9m)}^{2}

1022.123 = 2 \cdot (3 + \sqrt{3}) \cdot {(\frac{2}{\sqrt{3}} \cdot 9)}^{2}

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Total Surface Area of Cuboctahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = 2 \cdot (3 + \sqrt{3}) \cdot {(\frac{2}{\sqrt{3}} \cdot 9m)}^{2}

Next Step Prepare to Evaluate

∴

TSA = 2 \cdot (3 + \sqrt{3}) \cdot {(\frac{2}{\sqrt{3}} \cdot 9)}^{2}

Next Step Evaluate

∴

TSA = 1022.12297443488m²

LAST Step Rounding Answer

∴

TSA = 1022.123m²

Total Surface Area of Cuboctahedron given Midsphere 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

Midsphere Radius of Cuboctahedron

Midsphere Radius of Cuboctahedron is the radius of the sphere which is tangent to every edge of the Cuboctahedron and also is present in between its insphere and the circumsphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere 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 Circumsphere Radius

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

Total Surface Area of Cuboctahedron given Midsphere Radius evaluator uses Total Surface Area of Cuboctahedron = 2*(3+sqrt(3))*(2/sqrt(3)*Midsphere Radius of Cuboctahedron)^2 to evaluate the Total Surface Area of Cuboctahedron, The Total Surface Area of Cuboctahedron given Midsphere 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 midsphere radius of Cuboctahedron. Total Surface Area of Cuboctahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Cuboctahedron given Midsphere Radius

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

The formula of Total Surface Area of Cuboctahedron given Midsphere Radius is expressed as Total Surface Area of Cuboctahedron = 2*(3+sqrt(3))*(2/sqrt(3)*Midsphere Radius of Cuboctahedron)^2. Here is an example- 1022.123 = 2*(3+sqrt(3))*(2/sqrt(3)*9)^2.

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

With Midsphere Radius of Cuboctahedron (r_m) we can find Total Surface Area of Cuboctahedron given Midsphere Radius using the formula - Total Surface Area of Cuboctahedron = 2*(3+sqrt(3))*(2/sqrt(3)*Midsphere Radius of Cuboctahedron)^2. This formula also uses Square Root Function 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))*Circumsphere Radius of Cuboctahedron^2
Total Surface Area of Cuboctahedron=2*(3+sqrt(3))*Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4)

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

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

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

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

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