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Total Surface Area of Rhombicuboctahedron given Circumsphere Radius Formula

GoTotal Surface Area of Rhombicuboctahedron Formula

GoTotal Surface Area of Rhombicuboctahedron given Volume Formula

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Total Surface Area of Rhombicuboctahedron is the total quantity of plane enclosed by the entire surface of the Rhombicuboctahedron. Check FAQs

TSA = 2 \cdot (9 + \sqrt{3}) \cdot {(\frac{2 \cdot r c}{\sqrt{5 + (2 \cdot \sqrt{2})}})}^{2}

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

Total Surface Area of Rhombicuboctahedron given Circumsphere Radius Example

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

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

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

2149.5832 = 2 \cdot (9 + \sqrt{3}) \cdot {(\frac{2 \cdot 14}{\sqrt{5 + (2 \cdot \sqrt{2})}})}^{2}

2149.5832m² = 2 \cdot (9 + \sqrt{3}) \cdot {(\frac{2 \cdot 14m}{\sqrt{5 + (2 \cdot \sqrt{2})}})}^{2}

2149.5832 = 2 \cdot (9 + \sqrt{3}) \cdot {(\frac{2 \cdot 14}{\sqrt{5 + (2 \cdot \sqrt{2})}})}^{2}

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Total Surface Area of Rhombicuboctahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

TSA = 2 \cdot (9 + \sqrt{3}) \cdot {(\frac{2 \cdot r c}{\sqrt{5 + (2 \cdot \sqrt{2})}})}^{2}

Next Step Substitute values of Variables

∴

TSA = 2 \cdot (9 + \sqrt{3}) \cdot {(\frac{2 \cdot 14m}{\sqrt{5 + (2 \cdot \sqrt{2})}})}^{2}

Next Step Prepare to Evaluate

∴

TSA = 2 \cdot (9 + \sqrt{3}) \cdot {(\frac{2 \cdot 14}{\sqrt{5 + (2 \cdot \sqrt{2})}})}^{2}

Next Step Evaluate

∴

TSA = 2149.58323020904m²

LAST Step Rounding Answer

∴

TSA = 2149.5832m²

Total Surface Area of Rhombicuboctahedron given Circumsphere Radius Formula Elements

Variables

Functions

Total Surface Area of Rhombicuboctahedron

Total Surface Area of Rhombicuboctahedron is the total quantity of plane enclosed by the entire surface of the Rhombicuboctahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Rhombicuboctahedron

Circumsphere Radius of Rhombicuboctahedron

Circumsphere Radius of Rhombicuboctahedron is the radius of the sphere that contains the Rhombicuboctahedron 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 Rhombicuboctahedron

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 Rhombicuboctahedron

Go Total Surface Area of Rhombicuboctahedron

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

Go Total Surface Area of Rhombicuboctahedron given Volume

TSA = 2 \cdot (9 + \sqrt{3}) \cdot {(\frac{3 \cdot V}{2 \cdot (6 + (5 \cdot \sqrt{2}))})}^{\frac{2}{3}}

Go Total Surface Area of Rhombicuboctahedron given Midsphere Radius

TSA = 2 \cdot (9 + \sqrt{3}) \cdot {(\frac{2 \cdot r m}{\sqrt{4 + (2 \cdot \sqrt{2})}})}^{2}

Go Total Surface Area of Rhombicuboctahedron given Surface to Volume Ratio

TSA = 2 \cdot (9 + \sqrt{3}) \cdot {(\frac{3 \cdot (9 + \sqrt{3})}{R A/V \cdot (6 + (5 \cdot \sqrt{2}))})}^{2}

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

Total Surface Area of Rhombicuboctahedron given Circumsphere Radius evaluator uses Total Surface Area of Rhombicuboctahedron = 2*(9+sqrt(3))*((2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2)))))^2 to evaluate the Total Surface Area of Rhombicuboctahedron, Total Surface Area of Rhombicuboctahedron given Circumsphere Radius formula is defined as the total quantity of plane enclosed by the entire surface of the Rhombicuboctahedron, and calculated using the circumsphere radius of the Rhombicuboctahedron. Total Surface Area of Rhombicuboctahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Rhombicuboctahedron given Circumsphere Radius

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

The formula of Total Surface Area of Rhombicuboctahedron given Circumsphere Radius is expressed as Total Surface Area of Rhombicuboctahedron = 2*(9+sqrt(3))*((2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2)))))^2. Here is an example- 2149.583 = 2*(9+sqrt(3))*((2*14)/(sqrt(5+(2*sqrt(2)))))^2.

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

With Circumsphere Radius of Rhombicuboctahedron (r_c) we can find Total Surface Area of Rhombicuboctahedron given Circumsphere Radius using the formula - Total Surface Area of Rhombicuboctahedron = 2*(9+sqrt(3))*((2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2)))))^2. This formula also uses Square Root (sqrt) function(s).

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

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

Total Surface Area of Rhombicuboctahedron=2*(9+sqrt(3))*Edge Length of Rhombicuboctahedron^2
Total Surface Area of Rhombicuboctahedron=2*(9+sqrt(3))*((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(2/3)
Total Surface Area of Rhombicuboctahedron=2*(9+sqrt(3))*((2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2)))))^2

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

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

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

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

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