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Total Surface Area of Rhombicosidodecahedron given Surface to Volume Ratio Formula

GoTotal Surface Area of Rhombicosidodecahedron Formula

GoTotal Surface Area of Rhombicosidodecahedron given Volume 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 (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{R A/V \cdot (60 + (29 \cdot \sqrt{5}))})}^{2}

TSA - Total Surface Area of Rhombicosidodecahedron?R_A/V - Surface to Volume Ratio of Rhombicosidodecahedron?

Total Surface Area of Rhombicosidodecahedron given Surface to Volume Ratio Example

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

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

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

12044.5053 = (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})}))}{0.1 \cdot (60 + (29 \cdot \sqrt{5}))})}^{2}

12044.5053m² = (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})}))}{0.1m⁻¹ \cdot (60 + (29 \cdot \sqrt{5}))})}^{2}

12044.5053 = (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})}))}{0.1 \cdot (60 + (29 \cdot \sqrt{5}))})}^{2}

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Total Surface Area of Rhombicosidodecahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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}

Next Step Substitute values of Variables

∴

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})}))}{0.1m⁻¹ \cdot (60 + (29 \cdot \sqrt{5}))})}^{2}

Next Step Prepare to Evaluate

∴

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})}))}{0.1 \cdot (60 + (29 \cdot \sqrt{5}))})}^{2}

Next Step Evaluate

∴

TSA = 12044.5052970447m²

LAST Step Rounding Answer

∴

TSA = 12044.5053m²

Total Surface Area of Rhombicosidodecahedron given Surface to Volume Ratio Formula Elements

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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

Surface to Volume Ratio of Rhombicosidodecahedron

Surface to Volume Ratio of Rhombicosidodecahedron is the numerical ratio of the total surface area of a Rhombicosidodecahedron to the volume of the Rhombicosidodecahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio 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 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}

How to Evaluate Total Surface Area of Rhombicosidodecahedron given Surface to Volume Ratio?

Total Surface Area of Rhombicosidodecahedron given Surface to Volume Ratio evaluator uses Total Surface Area of Rhombicosidodecahedron = (30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((3*(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Surface to Volume Ratio of Rhombicosidodecahedron*(60+(29*sqrt(5)))))^2 to evaluate the Total Surface Area of Rhombicosidodecahedron, Total Surface Area of Rhombicosidodecahedron given Surface to Volume Ratio formula is defined as the total quantity of plane enclosed by the entire surface of the Rhombicosidodecahedron, and calculated using the surface to volume ratio of the Rhombicosidodecahedron. Total Surface Area of Rhombicosidodecahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Rhombicosidodecahedron given Surface to Volume Ratio

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

The formula of Total Surface Area of Rhombicosidodecahedron given Surface to Volume Ratio is expressed as Total Surface Area of Rhombicosidodecahedron = (30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((3*(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Surface to Volume Ratio of Rhombicosidodecahedron*(60+(29*sqrt(5)))))^2. Here is an example- 12044.51 = (30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((3*(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(0.1*(60+(29*sqrt(5)))))^2.

How to calculate Total Surface Area of Rhombicosidodecahedron given Surface to Volume Ratio?

With Surface to Volume Ratio of Rhombicosidodecahedron (R_A/V) we can find Total Surface Area of Rhombicosidodecahedron given Surface to Volume Ratio using the formula - Total Surface Area of Rhombicosidodecahedron = (30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((3*(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Surface to Volume Ratio of Rhombicosidodecahedron*(60+(29*sqrt(5)))))^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)))))*Edge Length of Rhombicosidodecahedron^2
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

Can the Total Surface Area of Rhombicosidodecahedron given Surface to Volume Ratio be negative?

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

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

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

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