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Total Surface Area of Rhombicuboctahedron given Midsphere 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 m}{\sqrt{4 + (2 \cdot \sqrt{2})}})}^{2}

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

Total Surface Area of Rhombicuboctahedron given Midsphere Radius Example

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

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

2124.9012 = 2 \cdot (9 + \sqrt{3}) \cdot {(\frac{2 \cdot 13}{\sqrt{4 + (2 \cdot \sqrt{2})}})}^{2}

2124.9012m² = 2 \cdot (9 + \sqrt{3}) \cdot {(\frac{2 \cdot 13m}{\sqrt{4 + (2 \cdot \sqrt{2})}})}^{2}

2124.9012 = 2 \cdot (9 + \sqrt{3}) \cdot {(\frac{2 \cdot 13}{\sqrt{4 + (2 \cdot \sqrt{2})}})}^{2}

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Total Surface Area of Rhombicuboctahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = 2 \cdot (9 + \sqrt{3}) \cdot {(\frac{2 \cdot 13m}{\sqrt{4 + (2 \cdot \sqrt{2})}})}^{2}

Next Step Prepare to Evaluate

∴

TSA = 2 \cdot (9 + \sqrt{3}) \cdot {(\frac{2 \cdot 13}{\sqrt{4 + (2 \cdot \sqrt{2})}})}^{2}

Next Step Evaluate

∴

TSA = 2124.90115611689m²

LAST Step Rounding Answer

∴

TSA = 2124.9012m²

Total Surface Area of Rhombicuboctahedron given Midsphere 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

Midsphere Radius of Rhombicuboctahedron

Midsphere Radius of Rhombicuboctahedron is the radius of the sphere for which all the edges of the Rhombicuboctahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere 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 Circumsphere Radius

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

Total Surface Area of Rhombicuboctahedron given Midsphere Radius evaluator uses Total Surface Area of Rhombicuboctahedron = 2*(9+sqrt(3))*((2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2)))))^2 to evaluate the Total Surface Area of Rhombicuboctahedron, Total Surface Area of Rhombicuboctahedron given Midsphere Radius formula is defined as the total quantity of plane enclosed by the entire surface of the Rhombicuboctahedron, and calculated using the midsphere radius of the Rhombicuboctahedron. Total Surface Area of Rhombicuboctahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Rhombicuboctahedron given Midsphere Radius

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

The formula of Total Surface Area of Rhombicuboctahedron given Midsphere Radius is expressed as Total Surface Area of Rhombicuboctahedron = 2*(9+sqrt(3))*((2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2)))))^2. Here is an example- 2124.901 = 2*(9+sqrt(3))*((2*13)/(sqrt(4+(2*sqrt(2)))))^2.

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

With Midsphere Radius of Rhombicuboctahedron (r_m) we can find Total Surface Area of Rhombicuboctahedron given Midsphere Radius using the formula - Total Surface Area of Rhombicuboctahedron = 2*(9+sqrt(3))*((2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(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*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2)))))^2

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

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

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

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

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