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Total Surface Area of Rhombic Dodecahedron given Insphere Radius Formula

GoTotal Surface Area of Rhombic Dodecahedron Formula

GoTotal Surface Area of Rhombic Dodecahedron given Midsphere Radius Formula

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Total Surface Area of Rhombic Dodecahedron is the total quantity of plane enclosed on the entire surface of the Rhombic Dodecahedron. Check FAQs

TSA = 12 \cdot \sqrt{2} \cdot {r i}^{2}

TSA - Total Surface Area of Rhombic Dodecahedron?r_i - Insphere Radius of Rhombic Dodecahedron?

Total Surface Area of Rhombic Dodecahedron given Insphere Radius Example

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Here is how the Total Surface Area of Rhombic Dodecahedron given Insphere Radius equation looks like with Values.

Here is how the Total Surface Area of Rhombic Dodecahedron given Insphere Radius equation looks like with Units.

Here is how the Total Surface Area of Rhombic Dodecahedron given Insphere Radius equation looks like.

1086.116 = 12 \cdot \sqrt{2} \cdot 8^{2}

1086.116m² = 12 \cdot \sqrt{2} \cdot {8m}^{2}

1086.116 = 12 \cdot \sqrt{2} \cdot 8^{2}

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Total Surface Area of Rhombic Dodecahedron given Insphere Radius Solution

Follow our step by step solution on how to calculate Total Surface Area of Rhombic Dodecahedron given Insphere Radius?

FIRST Step Consider the formula

TSA = 12 \cdot \sqrt{2} \cdot {r i}^{2}

Next Step Substitute values of Variables

∴

TSA = 12 \cdot \sqrt{2} \cdot {8m}^{2}

Next Step Prepare to Evaluate

∴

TSA = 12 \cdot \sqrt{2} \cdot 8^{2}

Next Step Evaluate

∴

TSA = 1086.11601590254m²

LAST Step Rounding Answer

∴

TSA = 1086.116m²

Total Surface Area of Rhombic Dodecahedron given Insphere Radius Formula Elements

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Total Surface Area of Rhombic Dodecahedron

Total Surface Area of Rhombic Dodecahedron is the total quantity of plane enclosed on the entire surface of the Rhombic Dodecahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Rhombic Dodecahedron

Insphere Radius of Rhombic Dodecahedron

Insphere Radius of Rhombic Dodecahedron is the radius of the sphere that is contained by the Rhombic Dodecahedron in such a way that all the faces are just touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Rhombic Dodecahedron

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 Rhombic Dodecahedron

Go Total Surface Area of Rhombic Dodecahedron

TSA = 8 \cdot \sqrt{2} \cdot {l e}^{2}

Go Total Surface Area of Rhombic Dodecahedron given Midsphere Radius

TSA = 9 \cdot \sqrt{2} \cdot {r m}^{2}

Go Total Surface Area of Rhombic Dodecahedron given Volume

TSA = 8 \cdot \sqrt{2} \cdot {(\frac{9 \cdot V}{16 \cdot \sqrt{3}})}^{\frac{2}{3}}

Go Total Surface Area of Rhombic Dodecahedron given Surface to Volume Ratio

TSA = \frac{108 \cdot \sqrt{2}}{{R A/V}^{2}}

How to Evaluate Total Surface Area of Rhombic Dodecahedron given Insphere Radius?

Total Surface Area of Rhombic Dodecahedron given Insphere Radius evaluator uses Total Surface Area of Rhombic Dodecahedron = 12*sqrt(2)*Insphere Radius of Rhombic Dodecahedron^2 to evaluate the Total Surface Area of Rhombic Dodecahedron, Total Surface Area of Rhombic Dodecahedron given Insphere Radius formula is defined as the total quantity of plane enclosed on the entire surface of the Rhombic Dodecahedron, calculated using insphere radius of Rhombic Dodecahedron. Total Surface Area of Rhombic Dodecahedron is denoted by TSA symbol.

How to evaluate Total Surface Area of Rhombic Dodecahedron given Insphere Radius using this online evaluator? To use this online evaluator for Total Surface Area of Rhombic Dodecahedron given Insphere Radius, enter Insphere Radius of Rhombic Dodecahedron (r_i) and hit the calculate button.

FAQs on Total Surface Area of Rhombic Dodecahedron given Insphere Radius

What is the formula to find Total Surface Area of Rhombic Dodecahedron given Insphere Radius?

The formula of Total Surface Area of Rhombic Dodecahedron given Insphere Radius is expressed as Total Surface Area of Rhombic Dodecahedron = 12*sqrt(2)*Insphere Radius of Rhombic Dodecahedron^2. Here is an example- 1086.116 = 12*sqrt(2)*8^2.

How to calculate Total Surface Area of Rhombic Dodecahedron given Insphere Radius?

With Insphere Radius of Rhombic Dodecahedron (r_i) we can find Total Surface Area of Rhombic Dodecahedron given Insphere Radius using the formula - Total Surface Area of Rhombic Dodecahedron = 12*sqrt(2)*Insphere Radius of Rhombic Dodecahedron^2. This formula also uses Square Root (sqrt) function(s).

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

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

Total Surface Area of Rhombic Dodecahedron=8*sqrt(2)*Edge Length of Rhombic Dodecahedron^2
Total Surface Area of Rhombic Dodecahedron=9*sqrt(2)*Midsphere Radius of Rhombic Dodecahedron^2
Total Surface Area of Rhombic Dodecahedron=8*sqrt(2)*((9*Volume of Rhombic Dodecahedron)/(16*sqrt(3)))^(2/3)

Can the Total Surface Area of Rhombic Dodecahedron given Insphere Radius be negative?

No, the Total Surface Area of Rhombic Dodecahedron given Insphere Radius, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Rhombic Dodecahedron given Insphere Radius?

Total Surface Area of Rhombic Dodecahedron given Insphere 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 Rhombic Dodecahedron given Insphere Radius can be measured.

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