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Lateral Surface Area of Dodecahedron Formula

GoLateral Surface Area of Dodecahedron given Total Surface Area Formula

GoLateral Surface Area of Dodecahedron given Circumsphere Radius Formula

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Lateral Surface Area of Dodecahedron is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Dodecahedron. Check FAQs

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

LSA - Lateral Surface Area of Dodecahedron?l_e - Edge Length of Dodecahedron?

Lateral Surface Area of Dodecahedron Example

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Here is how the Lateral Surface Area of Dodecahedron equation looks like with Values.

Here is how the Lateral Surface Area of Dodecahedron equation looks like with Units.

Here is how the Lateral Surface Area of Dodecahedron equation looks like.

1720.4774 = \frac{5}{2} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot 10^{2}

1720.4774m² = \frac{5}{2} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {10m}^{2}

1720.4774 = \frac{5}{2} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot 10^{2}

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Lateral Surface Area of Dodecahedron Solution

Follow our step by step solution on how to calculate Lateral Surface Area of Dodecahedron?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

LSA = \frac{5}{2} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot 10^{2}

Next Step Evaluate

∴

LSA = 1720.47740058897m²

LAST Step Rounding Answer

∴

LSA = 1720.4774m²

Lateral Surface Area of Dodecahedron Formula Elements

Variables

Functions

Lateral Surface Area of Dodecahedron

Lateral Surface Area of Dodecahedron is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Dodecahedron.

Symbol: LSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral Surface Area of Dodecahedron

Edge Length of Dodecahedron

Edge Length of Dodecahedron is the length of any of the edges of a Dodecahedron or the distance between any pair of adjacent vertices of the Dodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Dodecahedron

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 Lateral Surface Area of Dodecahedron

Go Lateral Surface Area of Dodecahedron given Total Surface Area

LSA = \frac{5}{6} \cdot TSA

Go Lateral Surface Area of Dodecahedron given Circumsphere Radius

LSA = \frac{5}{2} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot r c}{\sqrt{3} \cdot (1 + \sqrt{5})})}^{2}

Other formulas in Lateral Surface Area of Dodecahedron category

Go Face Area of Dodecahedron

A Face = \frac{1}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {l e}^{2}

Go Face Area of Dodecahedron given Midsphere Radius

A Face = \frac{1}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot r m}{3 + \sqrt{5}})}^{2}

Go Total Surface Area of Dodecahedron

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

Go Total Surface Area of Dodecahedron given Volume

TSA = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot V}{15 + (7 \cdot \sqrt{5})})}^{\frac{2}{3}}

How to Evaluate Lateral Surface Area of Dodecahedron?

Lateral Surface Area of Dodecahedron evaluator uses Lateral Surface Area of Dodecahedron = 5/2*sqrt(25+(10*sqrt(5)))*Edge Length of Dodecahedron^2 to evaluate the Lateral Surface Area of Dodecahedron, The Lateral Surface Area of Dodecahedron formula is defined as the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Dodecahedron. Lateral Surface Area of Dodecahedron is denoted by LSA symbol.

How to evaluate Lateral Surface Area of Dodecahedron using this online evaluator? To use this online evaluator for Lateral Surface Area of Dodecahedron, enter Edge Length of Dodecahedron (l_e) and hit the calculate button.

FAQs on Lateral Surface Area of Dodecahedron

What is the formula to find Lateral Surface Area of Dodecahedron?

The formula of Lateral Surface Area of Dodecahedron is expressed as Lateral Surface Area of Dodecahedron = 5/2*sqrt(25+(10*sqrt(5)))*Edge Length of Dodecahedron^2. Here is an example- 1720.477 = 5/2*sqrt(25+(10*sqrt(5)))*10^2.

How to calculate Lateral Surface Area of Dodecahedron?

With Edge Length of Dodecahedron (l_e) we can find Lateral Surface Area of Dodecahedron using the formula - Lateral Surface Area of Dodecahedron = 5/2*sqrt(25+(10*sqrt(5)))*Edge Length of Dodecahedron^2. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Lateral Surface Area of Dodecahedron?

Here are the different ways to Calculate Lateral Surface Area of Dodecahedron-

Lateral Surface Area of Dodecahedron=5/6*Total Surface Area of Dodecahedron
Lateral Surface Area of Dodecahedron=5/2*sqrt(25+(10*sqrt(5)))*((4*Circumsphere Radius of Dodecahedron)/(sqrt(3)*(1+sqrt(5))))^2

Can the Lateral Surface Area of Dodecahedron be negative?

No, the Lateral Surface Area of Dodecahedron, measured in Area cannot be negative.

Which unit is used to measure Lateral Surface Area of Dodecahedron?

Lateral Surface Area of Dodecahedron 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 Lateral Surface Area of Dodecahedron can be measured.

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