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Total Surface Area of Icosidodecahedron given Volume Formula

GoTotal Surface Area of Icosidodecahedron Formula

GoTotal Surface Area of Icosidodecahedron given Circumsphere Radius Formula

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

TSA = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{6 \cdot V}{45 + (17 \cdot \sqrt{5})})}^{\frac{2}{3}}

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

Total Surface Area of Icosidodecahedron given Volume Example

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

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

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

2953.7781 = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{6 \cdot 14000}{45 + (17 \cdot \sqrt{5})})}^{\frac{2}{3}}

2953.7781m² = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{6 \cdot 14000m³}{45 + (17 \cdot \sqrt{5})})}^{\frac{2}{3}}

2953.7781 = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{6 \cdot 14000}{45 + (17 \cdot \sqrt{5})})}^{\frac{2}{3}}

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Total Surface Area of Icosidodecahedron given Volume Solution

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

FIRST Step Consider the formula

TSA = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{6 \cdot V}{45 + (17 \cdot \sqrt{5})})}^{\frac{2}{3}}

Next Step Substitute values of Variables

∴

TSA = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{6 \cdot 14000m³}{45 + (17 \cdot \sqrt{5})})}^{\frac{2}{3}}

Next Step Prepare to Evaluate

∴

TSA = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{6 \cdot 14000}{45 + (17 \cdot \sqrt{5})})}^{\frac{2}{3}}

Next Step Evaluate

∴

TSA = 2953.77810049262m²

LAST Step Rounding Answer

∴

TSA = 2953.7781m²

Total Surface Area of Icosidodecahedron given Volume Formula Elements

Variables

Functions

Total Surface Area of Icosidodecahedron

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Icosidodecahedron

Volume of Icosidodecahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Icosidodecahedron

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 Icosidodecahedron

Go Total Surface Area of Icosidodecahedron

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

Go Total Surface Area of Icosidodecahedron given Circumsphere Radius

TSA = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{2 \cdot r c}{1 + \sqrt{5}})}^{2}

Go Total Surface Area of Icosidodecahedron given Midsphere Radius

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

Go Total Surface Area of Icosidodecahedron given Surface to Volume Ratio

TSA = ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {(\frac{6 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{R A/V \cdot (45 + (17 \cdot \sqrt{5}))})}^{2}

How to Evaluate Total Surface Area of Icosidodecahedron given Volume?

Total Surface Area of Icosidodecahedron given Volume evaluator uses Total Surface Area of Icosidodecahedron = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((6*Volume of Icosidodecahedron)/(45+(17*sqrt(5))))^(2/3) to evaluate the Total Surface Area of Icosidodecahedron, Total Surface Area of Icosidodecahedron given Volume formula is defined as the total quantity of plane enclosed by the entire surface of the Icosidodecahedron, and calculated using the volume of the Icosidodecahedron. Total Surface Area of Icosidodecahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Icosidodecahedron given Volume

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

The formula of Total Surface Area of Icosidodecahedron given Volume is expressed as Total Surface Area of Icosidodecahedron = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((6*Volume of Icosidodecahedron)/(45+(17*sqrt(5))))^(2/3). Here is an example- 2953.778 = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((6*14000)/(45+(17*sqrt(5))))^(2/3).

How to calculate Total Surface Area of Icosidodecahedron given Volume?

With Volume of Icosidodecahedron (V) we can find Total Surface Area of Icosidodecahedron given Volume using the formula - Total Surface Area of Icosidodecahedron = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((6*Volume of Icosidodecahedron)/(45+(17*sqrt(5))))^(2/3). This formula also uses Square Root (sqrt) function(s).

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

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

Total Surface Area of Icosidodecahedron=((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*Edge Length of Icosidodecahedron^2
Total Surface Area of Icosidodecahedron=((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((2*Circumsphere Radius of Icosidodecahedron)/(1+sqrt(5)))^2
Total Surface Area of Icosidodecahedron=((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((2*Midsphere Radius of Icosidodecahedron)/(sqrt(5+(2*sqrt(5)))))^2

Can the Total Surface Area of Icosidodecahedron given Volume be negative?

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

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

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

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