FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Total Surface Area of Rhombicosidodecahedron given Midsphere Radius Formula

GoTotal Surface Area of Rhombicosidodecahedron Formula

GoTotal Surface Area of Rhombicosidodecahedron given Volume Formula

Fx Copy

LaTeX Copy

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{2 \cdot r m}{\sqrt{10 + (4 \cdot \sqrt{5})}})}^{2}

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

Total Surface Area of Rhombicosidodecahedron given Midsphere Radius Example

With values

With units

Only example

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

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

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

5522.2895 = (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{2 \cdot 21}{\sqrt{10 + (4 \cdot \sqrt{5})}})}^{2}

5522.2895m² = (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{2 \cdot 21m}{\sqrt{10 + (4 \cdot \sqrt{5})}})}^{2}

5522.2895 = (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{2 \cdot 21}{\sqrt{10 + (4 \cdot \sqrt{5})}})}^{2}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Total Surface Area of Rhombicosidodecahedron given Midsphere Radius

Total Surface Area of Rhombicosidodecahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

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}

Next Step Substitute values of Variables

∴

TSA = (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{2 \cdot 21m}{\sqrt{10 + (4 \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{2 \cdot 21}{\sqrt{10 + (4 \cdot \sqrt{5})}})}^{2}

Next Step Evaluate

∴

TSA = 5522.28949391328m²

LAST Step Rounding Answer

∴

TSA = 5522.2895m²

Total Surface Area of Rhombicosidodecahedron given Midsphere Radius 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

Midsphere Radius of Rhombicosidodecahedron

Midsphere Radius of Rhombicosidodecahedron is the radius of the sphere for which all the edges of the Rhombicosidodecahedron 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 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 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 Midsphere Radius?

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

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

FAQs on Total Surface Area of Rhombicosidodecahedron given Midsphere Radius

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

The formula of Total Surface Area of Rhombicosidodecahedron given Midsphere Radius is expressed as 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. Here is an example- 5522.289 = (30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((2*21)/(sqrt(10+(4*sqrt(5)))))^2.

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

With Midsphere Radius of Rhombicosidodecahedron (r_m) we can find Total Surface Area of Rhombicosidodecahedron given Midsphere Radius using the formula - 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. 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 Midsphere Radius be negative?

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit