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Lateral Surface Area of Dodecahedron given Face Perimeter Formula

GoLateral Surface Area of Dodecahedron Formula

GoLateral Surface Area of Dodecahedron given Face Area 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 = \sqrt{25 + (10 \cdot \sqrt{5})} \cdot \frac{{P Face}^{2}}{10}

LSA - Lateral Surface Area of Dodecahedron?P_Face - Face Perimeter of Dodecahedron?

Lateral Surface Area of Dodecahedron given Face Perimeter Example

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

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

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

1720.4774 = \sqrt{25 + (10 \cdot \sqrt{5})} \cdot \frac{50^{2}}{10}

1720.4774m² = \sqrt{25 + (10 \cdot \sqrt{5})} \cdot \frac{{50m}^{2}}{10}

1720.4774 = \sqrt{25 + (10 \cdot \sqrt{5})} \cdot \frac{50^{2}}{10}

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Lateral Surface Area of Dodecahedron given Face Perimeter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

LSA = \sqrt{25 + (10 \cdot \sqrt{5})} \cdot \frac{{50m}^{2}}{10}

Next Step Prepare to Evaluate

∴

LSA = \sqrt{25 + (10 \cdot \sqrt{5})} \cdot \frac{50^{2}}{10}

Next Step Evaluate

∴

LSA = 1720.47740058897m²

LAST Step Rounding Answer

∴

LSA = 1720.4774m²

Lateral Surface Area of Dodecahedron given Face Perimeter 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

Face Perimeter of Dodecahedron

Face Perimeter of Dodecahedron is the total distance around the five edges of any face of the Dodecahedron.

Symbol: P_Face

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Face Perimeter 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

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

Go Lateral Surface Area of Dodecahedron given Face Area

LSA = 10 \cdot A Face

Go Lateral Surface Area of Dodecahedron given Volume

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

Go Lateral Surface Area of Dodecahedron given Face Diagonal

LSA = \frac{5}{2} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{2 \cdot d Face}{1 + \sqrt{5}})}^{2}

How to Evaluate Lateral Surface Area of Dodecahedron given Face Perimeter?

Lateral Surface Area of Dodecahedron given Face Perimeter evaluator uses Lateral Surface Area of Dodecahedron = sqrt(25+(10*sqrt(5)))*Face Perimeter of Dodecahedron^2/10 to evaluate the Lateral Surface Area of Dodecahedron, The Lateral Surface Area of Dodecahedron given Face Perimeter 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, and calculated using face perimeter of Dodecahedron. Lateral Surface Area of Dodecahedron is denoted by LSA symbol.

How to evaluate Lateral Surface Area of Dodecahedron given Face Perimeter using this online evaluator? To use this online evaluator for Lateral Surface Area of Dodecahedron given Face Perimeter, enter Face Perimeter of Dodecahedron (P_Face) and hit the calculate button.

FAQs on Lateral Surface Area of Dodecahedron given Face Perimeter

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

The formula of Lateral Surface Area of Dodecahedron given Face Perimeter is expressed as Lateral Surface Area of Dodecahedron = sqrt(25+(10*sqrt(5)))*Face Perimeter of Dodecahedron^2/10. Here is an example- 1720.477 = sqrt(25+(10*sqrt(5)))*50^2/10.

How to calculate Lateral Surface Area of Dodecahedron given Face Perimeter?

With Face Perimeter of Dodecahedron (P_Face) we can find Lateral Surface Area of Dodecahedron given Face Perimeter using the formula - Lateral Surface Area of Dodecahedron = sqrt(25+(10*sqrt(5)))*Face Perimeter of Dodecahedron^2/10. 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=5/2*sqrt(25+(10*sqrt(5)))*Edge Length of Dodecahedron^2
Lateral Surface Area of Dodecahedron=10*Face Area of Dodecahedron
Lateral Surface Area of Dodecahedron=5/2*sqrt(25+(10*sqrt(5)))*((4*Volume of Dodecahedron)/(15+(7*sqrt(5))))^(2/3)

Can the Lateral Surface Area of Dodecahedron given Face Perimeter be negative?

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

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

Lateral Surface Area of Dodecahedron given Face Perimeter 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 given Face Perimeter can be measured.

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