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Edge Length of Icosidodecahedron given Total Surface Area Formula

GoEdge Length of Icosidodecahedron given Volume Formula

GoEdge Length of Icosidodecahedron given Circumsphere Radius Formula

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Edge Length of Icosidodecahedron is the length of any edge of the Icosidodecahedron. Check FAQs

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

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

Edge Length of Icosidodecahedron given Total Surface Area Example

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

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

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

9.9477 = \sqrt{\frac{2900}{(5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

9.9477m = \sqrt{\frac{2900m²}{(5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

9.9477 = \sqrt{\frac{2900}{(5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

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Edge Length of Icosidodecahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = \sqrt{\frac{2900m²}{(5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

Next Step Prepare to Evaluate

∴

l e = \sqrt{\frac{2900}{(5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

Next Step Evaluate

∴

l e = 9.9476581739633m

LAST Step Rounding Answer

∴

l e = 9.9477m

Edge Length of Icosidodecahedron given Total Surface Area Formula Elements

Variables

Functions

Edge Length of Icosidodecahedron

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

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Icosidodecahedron

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

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 Edge Length of Icosidodecahedron

Go Edge Length of Icosidodecahedron given Volume

l e = {(\frac{6 \cdot V}{45 + (17 \cdot \sqrt{5})})}^{\frac{1}{3}}

Go Edge Length of Icosidodecahedron given Circumsphere Radius

l e = \frac{2 \cdot r c}{1 + \sqrt{5}}

Go Edge Length of Icosidodecahedron given Midsphere Radius

l e = \frac{2 \cdot r m}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Go Edge Length of Icosidodecahedron given Surface to Volume Ratio

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

How to Evaluate Edge Length of Icosidodecahedron given Total Surface Area?

Edge Length of Icosidodecahedron given Total Surface Area evaluator uses Edge Length of Icosidodecahedron = sqrt(Total Surface Area of Icosidodecahedron/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))) to evaluate the Edge Length of Icosidodecahedron, Edge Length of Icosidodecahedron given Total Surface Area formula is defined as the length of any edge of the Icosidodecahedron, and calculated using the total surface area of the Icosidodecahedron. Edge Length of Icosidodecahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Icosidodecahedron given Total Surface Area

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

The formula of Edge Length of Icosidodecahedron given Total Surface Area is expressed as Edge Length of Icosidodecahedron = sqrt(Total Surface Area of Icosidodecahedron/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))). Here is an example- 9.947658 = sqrt(2900/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))).

How to calculate Edge Length of Icosidodecahedron given Total Surface Area?

With Total Surface Area of Icosidodecahedron (TSA) we can find Edge Length of Icosidodecahedron given Total Surface Area using the formula - Edge Length of Icosidodecahedron = sqrt(Total Surface Area of Icosidodecahedron/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Edge Length of Icosidodecahedron?

Here are the different ways to Calculate Edge Length of Icosidodecahedron-

Edge Length of Icosidodecahedron=((6*Volume of Icosidodecahedron)/(45+(17*sqrt(5))))^(1/3)
Edge Length of Icosidodecahedron=(2*Circumsphere Radius of Icosidodecahedron)/(1+sqrt(5))
Edge Length of Icosidodecahedron=(2*Midsphere Radius of Icosidodecahedron)/(sqrt(5+(2*sqrt(5))))

Can the Edge Length of Icosidodecahedron given Total Surface Area be negative?

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

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

Edge Length of Icosidodecahedron given Total Surface Area is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Edge Length of Icosidodecahedron given Total Surface Area can be measured.

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