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Total Surface Area of Rhombicosidodecahedron given Volume Formula

GoTotal Surface Area of Rhombicosidodecahedron 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 {(\frac{3 \cdot V}{60 + (29 \cdot \sqrt{5})})}^{\frac{2}{3}}

TSA - Total Surface Area of Rhombicosidodecahedron?V - Volume of Rhombicosidodecahedron?

Total Surface Area of Rhombicosidodecahedron given Volume Example

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

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

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

5967.089 = (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{3 \cdot 42000}{60 + (29 \cdot \sqrt{5})})}^{\frac{2}{3}}

5967.089m² = (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{3 \cdot 42000m³}{60 + (29 \cdot \sqrt{5})})}^{\frac{2}{3}}

5967.089 = (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{3 \cdot 42000}{60 + (29 \cdot \sqrt{5})})}^{\frac{2}{3}}

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Total Surface Area of Rhombicosidodecahedron given Volume Solution

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

FIRST Step Consider the formula

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}}

Next Step Substitute values of Variables

∴

TSA = (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{3 \cdot 42000m³}{60 + (29 \cdot \sqrt{5})})}^{\frac{2}{3}}

Next Step Prepare to Evaluate

∴

TSA = (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{3 \cdot 42000}{60 + (29 \cdot \sqrt{5})})}^{\frac{2}{3}}

Next Step Evaluate

∴

TSA = 5967.0890063314m²

LAST Step Rounding Answer

∴

TSA = 5967.089m²

Total Surface Area of Rhombicosidodecahedron given Volume Formula Elements

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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

Volume of Rhombicosidodecahedron

Volume of Rhombicosidodecahedron is the total quantity of three dimensional space enclosed by the surface of the Rhombicosidodecahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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

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

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 given Volume?

Total Surface Area of Rhombicosidodecahedron given Volume evaluator uses 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) to evaluate the Total Surface Area of Rhombicosidodecahedron, Total Surface Area of Rhombicosidodecahedron given Volume formula is defined as the total quantity of plane enclosed by the entire surface of the Rhombicosidodecahedron, and calculated using the volume of the Rhombicosidodecahedron. Total Surface Area of Rhombicosidodecahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Rhombicosidodecahedron given Volume

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

The formula of Total Surface Area of Rhombicosidodecahedron given Volume is expressed as 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). Here is an example- 5967.089 = (30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((3*42000)/(60+(29*sqrt(5))))^(2/3).

How to calculate Total Surface Area of Rhombicosidodecahedron given Volume?

With Volume of Rhombicosidodecahedron (V) we can find Total Surface Area of Rhombicosidodecahedron given Volume using the formula - 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). 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)))))*Edge Length of Rhombicosidodecahedron^2
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 given Volume be negative?

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

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

Total Surface Area of Rhombicosidodecahedron given Volume 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 given Volume can be measured.

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