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Total Surface Area of Rhombicosidodecahedron Formula

GoTotal Surface Area of Rhombicosidodecahedron given Volume Formula

GoTotal Surface Area of Rhombicosidodecahedron given Circumsphere Radius Formula

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

TSA = (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {l e}^{2}

TSA - Total Surface Area of Rhombicosidodecahedron?l_e - Edge Length of Rhombicosidodecahedron?

Total Surface Area of Rhombicosidodecahedron Example

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Here is how the Total Surface Area of Rhombicosidodecahedron equation looks like with Values.

Here is how the Total Surface Area of Rhombicosidodecahedron equation looks like with Units.

Here is how the Total Surface Area of Rhombicosidodecahedron equation looks like.

5930.5983 = (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot 10^{2}

5930.5983m² = (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {10m}^{2}

5930.5983 = (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot 10^{2}

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Total Surface Area of Rhombicosidodecahedron Solution

Follow our step by step solution on how to calculate Total Surface Area of Rhombicosidodecahedron?

FIRST Step Consider the formula

TSA = (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {l e}^{2}

Next Step Substitute values of Variables

∴

TSA = (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {10m}^{2}

Next Step Prepare to Evaluate

∴

TSA = (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot 10^{2}

Next Step Evaluate

∴

TSA = 5930.5982844912m²

LAST Step Rounding Answer

∴

TSA = 5930.5983m²

Total Surface Area of Rhombicosidodecahedron Formula Elements

Variables

Functions

Total Surface Area of Rhombicosidodecahedron

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Rhombicosidodecahedron

Edge Length of Rhombicosidodecahedron

Edge Length of Rhombicosidodecahedron is the length of any edge of the Rhombicosidodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Rhombicosidodecahedron

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 Rhombicosidodecahedron

Go Total Surface Area of Rhombicosidodecahedron given Volume

TSA = (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{3 \cdot V}{60 + (29 \cdot \sqrt{5})})}^{\frac{2}{3}}

Go Total Surface Area of Rhombicosidodecahedron given Circumsphere Radius

TSA = (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{2 \cdot r c}{\sqrt{11 + (4 \cdot \sqrt{5})}})}^{2}

Go Total Surface Area of Rhombicosidodecahedron given Midsphere Radius

TSA = (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{2 \cdot r m}{\sqrt{10 + (4 \cdot \sqrt{5})}})}^{2}

Go Total Surface Area of Rhombicosidodecahedron given Surface to Volume Ratio

TSA = (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{R A/V \cdot (60 + (29 \cdot \sqrt{5}))})}^{2}

How to Evaluate Total Surface Area of Rhombicosidodecahedron?

Total Surface Area of Rhombicosidodecahedron evaluator uses Total Surface Area of Rhombicosidodecahedron = (30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*Edge Length of Rhombicosidodecahedron^2 to evaluate the Total Surface Area of Rhombicosidodecahedron, Total Surface Area of Rhombicosidodecahedron formula is defined as the total quantity of plane enclosed by the entire surface of the Rhombicosidodecahedron. Total Surface Area of Rhombicosidodecahedron is denoted by TSA symbol.

How to evaluate Total Surface Area of Rhombicosidodecahedron using this online evaluator? To use this online evaluator for Total Surface Area of Rhombicosidodecahedron, enter Edge Length of Rhombicosidodecahedron (l_e) and hit the calculate button.

FAQs on Total Surface Area of Rhombicosidodecahedron

What is the formula to find Total Surface Area of Rhombicosidodecahedron?

The formula of Total Surface Area of Rhombicosidodecahedron is expressed as Total Surface Area of Rhombicosidodecahedron = (30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*Edge Length of Rhombicosidodecahedron^2. Here is an example- 5930.598 = (30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*10^2.

How to calculate Total Surface Area of Rhombicosidodecahedron?

With Edge Length of Rhombicosidodecahedron (l_e) we can find Total Surface Area of Rhombicosidodecahedron using the formula - Total Surface Area of Rhombicosidodecahedron = (30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*Edge Length of Rhombicosidodecahedron^2. This formula also uses Square Root (sqrt) function(s).

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

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

Total Surface Area of Rhombicosidodecahedron=(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((3*Volume of Rhombicosidodecahedron)/(60+(29*sqrt(5))))^(2/3)
Total Surface Area of Rhombicosidodecahedron=(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((2*Circumsphere Radius of Rhombicosidodecahedron)/(sqrt(11+(4*sqrt(5)))))^2
Total Surface Area of Rhombicosidodecahedron=(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((2*Midsphere Radius of Rhombicosidodecahedron)/(sqrt(10+(4*sqrt(5)))))^2

Can the Total Surface Area of Rhombicosidodecahedron be negative?

No, the Total Surface Area of Rhombicosidodecahedron, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Rhombicosidodecahedron?

Total Surface Area of Rhombicosidodecahedron 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 Rhombicosidodecahedron can be measured.

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